TELEBROADCASTING OF ENTANGLED TWO-SPIN-1/2 STATES
|
|
- Adele Johnston
- 5 years ago
- Views:
Transcription
1 TELEBRODCSTING OF ENTNGLED TWO-SPIN-/ STTES IULI GHIU Department of Physics, University of Bucharest, P.O. Box MG-, R-775, Bucharest-Mãgurele, Romania Receive December, 4 quantum telebroacasting process combining the many-to-many teleportation an asymmetric broacasting of entanglement from one pair of observers to two spatially separate pairs of observers is presente. By applying the Peres-Horoecki criterion we analyze the inseparability of the final states an show that this epens on the parameter, which characterizes the quantum channel use in the process. The final inseparable states represent the output states generate in the broacasting of entanglement via local cloning.. INTRODUCTION Quantum teleportation is the basic ingreient for many communication processes. It performs the transmission an reconstruction of an unknown quantum state over arbitrary istances with the help of entangle states. In the stanar teleportation scheme introuce by Bennett et al. [], the state is transfere from one sener, lice, to one receiver, Bob. In this paper we review two generalizations of quantum teleportation: oneto-many an many-to-many teleportation, where the information of a quantum system is istribute from one sener to M receivers, an from N seners to M receivers, respectively (Section ). Then, in Section 3 we present the Peres- Horoecki criterion of separability of mixe two-spin-/ particles. summary of broacasting of entanglement using local optimal universal asymmetric cloners is given in Section 4.. In Section 4. we present the telebroacasting of two-spin-/ entangle states to two istant pairs of observers.. QUNTUM TELEPORTTION.. ONE-TO-ONE ND ONE-TO-MNY TELEPORTTION Let us start by reviewing the original teleportation protocol an its generalization, one-to-many teleportation. In the stanar teleportation scheme aress: iughiu@barutu.fizica.unibuc.ro Rom. Journ. Phys., Vol. 5, Nos., P. 7 5, Bucharest, 5
2 8 Iulia Ghiu an unknown quit (a state of a -level system) is faithfully transmitte from one observer, lice, to another observer, Bob, while the initial lice s state is estroye. Let the initial unknown state we wish to teleport be ψ = α k, where α, k= k = an { } k= k is the computational basis. The quantum channel require in this process is a maximally entangle state share by lice an Bob j j B ξ =. (.) The state of the whole system of the three particles is: mn, m= n= k= πikn ( ) (.) ψ ξ = Φ exp α k k+ m, where k+ m= k+ m moulo, an k= π ( ) Φ exp ikn mn, = k k + m, (.3) is the generalize Bell basis [, ]. lice performs a Bell-type measurement on her particles an sens the result to Bob. If the outcome of lice s measurement is Φ, then Bob has to apply the unitary operator [] mn, πijn Vmn ; = exp j j+ m (.4) on his particle in orer to retrieve the initial state. Having performe the Belltype measurement, lice estroye the information containe in the initial unknown state, as it must be conformable to the no-cloning theorem. The protocol introuce by Bennett et al. [] is calle one-to-one teleportation since the information is transmitte from one sener to one receiver. We now briefly present the one-to-many teleportation protocol propose by Murao et al. [3], where the information is istribute from one sener, lice, to M istant receivers, B, B,, B M, using multiparty entanglement. The information of a -level system encoe in an N-particle state is: k k (.5) k= ψ = α ψ, k
3 3 Telebroacasting of entangle two-spin-/ states 9 with, k k an { k } = α = ψ represents a basis in the -imensional space. The quantum channel is a maximally entangle state of the lice s N particles an receivers M particles: where { π j } an { j } j j BB B (.6) M ξ = π φ, φ are bases in the -level spaces of lice s an receivers particles, respectively. lice performs a joint measurement on her particles in the generalize Bell basis. Depening on the result communicate by lice, the receivers apply a local recovery unitary operation (RUO) [3]. If the result of lice s measurement is Φ mn ;, then the receivers perform the unitary operation that satisfies the conition: V πijn = V V... V = exp φ φ. (.7) mn ; B B BM j j+ m Therefore, the information of the initial unknown state of Eq. (.5) has been istribute to several istant parties: j j (.8) BB... BM φ = α φ... MNY-TO-MNY TELEPORTTION Now we present the many-to-many teleportation of a -level system propose by us in Ref. [4]. In this protocol the information of a -level system initially share by N istant observers is transmitte to M istant receivers (with M > N). The initial entangle state of the observers,,, N is given by with k k k k (.9) N k= ψ = α ψ ψ ψ, α, k= k = an { k j } ψ represents a basis in the -imensional space of the jth sener. We efine the quantum channel as a maximally entangle (N + M)-particle state share between seners an receivers:
4 Iulia Ghiu 4 ξ = πj π j πj φj, (.) N BB... BM where we have enote by B the particles that belong to the receivers. The π represent a -imensional basis for the ith sener. The joint state states { j } of the initial system an the channel is k k j k j k j N N k= ψ ξ = α ψ π ψ π ψ π φ j B... B M = N+ Φmn, Φ mn, Φ mn, N m n, n,..., nn exp πik ( n n n N) αk φ. k+ m k (.) The protocol for many-to-many teleportation is the following: a) Each sener performs a measurement of his particles in the generalize Bell basis. b) The seners communicate the result of the measurement to the M receivers. c) Let us analyze the case when the outcome of the seners Bell measurement is: Φ Φ Φ. (.) mn, mn, mn, N Then, the receivers have to apply a local recovery unitary operation that fulfills: V exp ik mn ; (, n,..., n φ ) N k = π n n n N φ. (.3) k m Therefore, the many-to-many teleportation istributes the information of the initial N-particle state (.9) into the M-particle state: j j j j j j N BB... B (.4) ψ = α ψ ψ ψ φ = α φ. M 3. THE PERES-HORODECKI CRITERION OF SEPRBILITY In this section we present the necessary an sufficient conition for the separability of mixe two-spin-/ particles. Let us recall the efinition of the
5 5 Telebroacasting of entangle two-spin-/ states separability of a bipartite system: state is separable if the ensity operator escribing this state can be written as a convex combination of prouct states [5]: () () pi i i (3.5) i ρ= ρ ρ, () where ρ i an ρ () i are ensity operators of the first subsystem, an secon subsystem, respectively. Theorem (Peres-Horoecki). two-spin-/ state is separable if an only if the partial transposition of the ensity operator is a nonnegative one [6, 7]. While the necessary conition foun by Peres is vali for arbitrary bipartite mixe states, the sufficient one is true only for an 3 systems. 4. TELEBRODCSTING OF BIPRTITE TWO-LEVEL ENTNGLED STTE 4.. PRELIMINRIES The no-cloning theorem forbis the existence of a unitary operation that can prouce two perfect copies of an arbitrary quantum state [8]. Therefore some approximate methos for cloning were propose, where the fielity between the final ientical states an the initial one is less than unity [9,, ]. In the case of asymmetric cloning (when the two final clones are not ientical), it is interesting when the universal cloning machine is optimal, that means a machine that creates the secon clone with maximal fielity for a given fielity of the first one [, ]. Cerf has foun the expression of the optimal universal asymmetric cloning machine of -level states using a reference state []. We have also obtaine an equivalent expression of this cloning machine, by eliminating the reference state [4]: U j = ( j j j + + ( )( p + q) (4.6) + p j j+ r j+ r + q j+ r j j+ r, r= r= where p + q =. n interesting application of quantum cloning is broacasting of entanglement propose by Bužek et al. []. In this process, the entanglement originally share by two observers is broacast into two ientical entangle states by using local optimal universal symmetric cloning machine. We have investigate the broacasting of entanglement using the optimal universal asymmetric cloning machine by employing the formula (4.6) for = :
6 Iulia Ghiu 6 U( p) = ( + p + q ) + p + q U( p) = ( + p + q ), + p + q (4.7) with p + q =, where the first two qubits represent the clones an the last one is the ancilla [4]. The initial entanglement share by two observers, lice an Bob is: ψ =α +β. (4.8) The state of the total system, consisting of the two particles an, an another four particles: the blank states 3 an 4, the ancillas 5, 6 is given by Π = U( p) U( p) ψ 35 46, where the particles enote by o number belong to lice, while the even particles belong to Bob. By using the Peres-Horoecki criterion we have evaluate in Ref. [4] the inseparability of the two final states ρ 4 an ρ TELEBRODCSTING OF TWO-SPIN-/ ENTNGLED STTES Consier that two spatially separate observers, an, hol an entangle state an they wish to teleport two copies of this state to two pairs of observers also locate at ifferent places, B B 4, an B B 3, respectively. Suppose that an share an arbitrary two-spin-/ entangle state ψ =α +β. (4.9) Here we use the notation spin up = an spin own =. We propose a new scheme calle telebroacasting of entanglement, which simultaneously copy an transfer the information of the initial entangle state. This protocol combines the many-to-many teleportation an asymmetric broacasting of entanglement. We efine two six-particle states: φ := ( + p + q + + p + q + p + p + pq + (4.) + q + pq + q ; φ := ( + p + q + + p + q + p + p + pq + + q + pq + q. ) ) (4.)
7 7 Telebroacasting of entangle two-spin-/ states 3 We choose the multiparticle quantum channel require in the many-tomany protocol as: ξ = φ + φ, (4.) BBBBBB BBBBBB where B 5, B 6 are two istant observers. The total state is ψ ξ = + + ( ) Φ Φ α Φ +β Φ + +Φ+ Φ αφ +βφ ( ) ( ) ( ) ( ) ( ) ( ) ( ). + +Φ Φ αφ βφ +Φ Φ αφ +βφ Ψ Ψ αφ +βφ +Ψ Ψ αφ βφ + + +Ψ Ψ αφ βφ + +Ψ Ψ αφ +βφ (4.3) The many-to-many protocol consists of three steps, as was shown in Sec..: a) an perform a measurement of the particles available in the Bell basis. b) an communicate the outcomes to the six receivers, B, B, B 3, B 4, B 5, B 6. c) The receivers apply local unitary operations epening on the outcomes of the seners measurements. In Table we have shown the local recovery unitary operations that have to be performe for each outcome of the Bell measurements, which satisfies Eq. (.3). Hence, the information of the inial state (4.9) is encoe in the final state share by the six receivers: µ =α φ +β φ (4.4) BBBBBB BBBBBB We say that the input state ψ has been telebroacast if the following two necessary conitions are satisfie [4]: (i) the local reuce ensity operators ρ BB an ρ 3 BB are separable, 4 (ii) the nonlocal states ρ BB an ρ 4 BB are inseparable. 3 pplying the Peres-Horoecki theorem presente in Section 3, we get the conition for the separability of the local states:
8 4 Iulia Ghiu 8 Table The local recovery unitary operations that have to be applie by the receivers, which epen on the outcomes of the seners measurements The outcome The local recovery unitary operation + + Φ Φ I I I I I I σ I σ I σ I + Φ Φ z z z σ I σ I σ I + Φ Φ z z z Φ Φ I I I I I I + + Ψ Ψ σx σx σx σx σx σx + Ψ Ψ σy σx σy σx σy σx + Ψ Ψ σy σx σy σx σy σx σ σ σ σ σ σ Ψ Ψ x x x x x x or equivalent αβ pq (4.5) 4 ( ) p p 4 p( p) α +. (4.6) The ensity operators of the nonlocal states are: ρ { BB = [ pq +α ( + p + q)] + [ pq + 4 ( + p + q) +β ( + p + q)] + 4pqαβ ( + ) + (4.7) + ( β q4 +β q +α p4 +α p) + +β ( p4 +β p +α q4 +α q), { ρ BB = [ pq +α ( + p + q)] + [ pq + 3 ( + p + q) +β ( + p + q)] + 4pqαβ ( + ) + + ( β p4 +β p +α q4 +α q) + +β ( q4 +β q +α p4 +α p), } } (4.8) gain we use the Peres-Horoecki criterion an fin that the two nonlocal states are inseparable if ( β p +β p +α q +α q )( β q +β q +α p +α p ) 6α β pq (4.9)
9 9 Telebroacasting of entangle two-spin-/ states 5 or equivalent where ( 4 ) ( 4 ) λ α + λ, (4.3) pq pq 4 + pq 4 + pq λ=. pq + pq + pq q q q p p p + 8pq (4.3) The requirements that 4λ has to be positive an the local states are separable when the nonlocal ones are inseparable lea to [4]: 9 + p (4.3) The final states (4.7) an (4.8) obtaine by the four receivers represent the output states generate in broacasting of entanglement using local optimal universal asymmetric cloning machines escribe in Sec. 4.. Our process, telebroacasting of entanglement, performs the teleportation of the final inseparable states obtaine using local broacasting to two pairs of istant observers. In conclusion, we have proven how one can transmit optimal information of an entangle state to two pairs of receivers using only local operations an classical communication. cknowlegment. This work was supporte by the Romanian CNCSIS through a grant for the University of Bucharest. REFERENCES. C. H. Bennett, G. Brassar, C. Crepeau, R. Jozsa,. Peres, an W.K. Wootters, Phys. Rev. Lett., 7, 895 (993).. N. J. Cerf, J. Mo. Opt., 47, 87 (). 3. M. Murao, M. B. Plenio, an V. Veral, Phys. Rev., 6, 33 (). 4. Iulia Ghiu, Phys. Rev., 67, 33 (3). 5. R. F. Werner, Phys. Rev., 4, 477 (989). 6.. Peres, Phys. Rev. Lett., 77, 43 (996). 7. M. Horoecki, P. Horoecki, R. Horoecki, Phys. Lett., 3, (996). 8. W. K. Wootters an W. H. Zurek, Nature, 99, 9 (98). 9. V. Buzek an M. Hillery, Phys. Rev., 54, 844 (996).. D. Bruß, D. P. DiVincenzo,. Ekert, C.. Fuchs, C. Macchiavello, an J.. Smolin, Phys. Rev., 57, 368 (998).. N. J. Cerf, T. Durt, an N. Gisin, J. Mo. Opt., 49, 355 ().. V. Buzek, V. Veral, M. B. Plenio, P. L. Knight, an M. Hillery, Phys. Rev., 55, 337 (997).
ASYMMETRIC TWO-OUTPUT QUANTUM PROCESSOR IN ANY DIMENSION
ASYMMETRIC TWO-OUTPUT QUANTUM PROCESSOR IN ANY IMENSION IULIA GHIU,, GUNNAR BJÖRK Centre for Avance Quantum Physics, University of Bucharest, P.O. Box MG-, R-0775, Bucharest Mgurele, Romania School of
More informationarxiv: v2 [quant-ph] 7 Apr 2014
Quantum Chernoff bound as a measure of efficiency of quantum cloning for mixed states arxiv:1404.0915v [quant-ph] 7 Apr 014 Iulia Ghiu Centre for Advanced Quantum Physics, Department of Physics, University
More informationarxiv:quant-ph/ May 2002
Multiparty -imensional quantum information splitting Anrze Gruka* an Antoni Wócik** Faculty of Physics, Aam Mickiewicz University, arxiv:quant-ph/5 7 May 8PXOWRZVND3R]QD3RODQG Abstract Generalization of
More informationHomework 3 - Solutions
Homework 3 - Solutions The Transpose an Partial Transpose. 1 Let { 1, 2,, } be an orthonormal basis for C. The transpose map efine with respect to this basis is a superoperator Γ that acts on an operator
More informationTHE ANALYTICAL EXPRESSION OF THE CHERNOFF POLARIZATION OF THE WERNER STATE
THE ANALYTICAL EXPRESSION OF THE CHERNOFF POLARIZATION OF THE WERNER STATE IULIA GHIU 1,*, AURELIAN ISAR 2,3 1 University of Bucharest, Faculty of Physics, Centre for Advanced Quantum Physics, PO Box MG-11,
More informationProbabilistic exact cloning and probabilistic no-signalling. Abstract
Probabilistic exact cloning and probabilistic no-signalling Arun Kumar Pati Quantum Optics and Information Group, SEECS, Dean Street, University of Wales, Bangor LL 57 IUT, UK (August 5, 999) Abstract
More informationRemote Preparation of Multipartite Equatorial Entangled States in High Dimensions with Three Parties
Commun. Theor. Phys. (Beiing, China) 51 (2009) pp. 641 647 c Chinese Physical Society an IOP Publishing Lt Vol. 51, No. 4, April 15, 2009 Remote Preparation of Multipartite Equatorial Entangle States in
More informationOn PPT States in C K C M C N Composite Quantum Systems
Commun. Theor. Phys. (Beijing, China) 42 (2004) pp. 25 222 c International Academic Publishers Vol. 42, No. 2, August 5, 2004 On PPT States in C K C M C N Composite Quantum Systems WANG Xiao-Hong, FEI
More informationApplication of Structural Physical Approximation to Partial Transpose in Teleportation. Satyabrata Adhikari Delhi Technological University (DTU)
Application of Structural Physical Approximation to Partial Transpose in Teleportation Satyabrata Adhikari Delhi Technological University (DTU) Singlet fraction and its usefulness in Teleportation Singlet
More informationEntanglement is not very useful for estimating multiple phases
PHYSICAL REVIEW A 70, 032310 (2004) Entanglement is not very useful for estimating multiple phases Manuel A. Ballester* Department of Mathematics, University of Utrecht, Box 80010, 3508 TA Utrecht, The
More informationarxiv: v1 [quant-ph] 17 Nov 2014
No Broadcasting of Quantum Correlation Sourav Chatterjee Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology-Hyderabad, Gachibowli, Hyderabad-50003,
More informationarxiv:quant-ph/ v2 3 Apr 2006
New class of states with positive partial transposition Dariusz Chruściński an Anrzej Kossakowski Institute of Physics Nicolaus Copernicus University Gruzi azka 5/7 87 100 Toruń Polan We construct a new
More informationMonogamy and Polygamy of Entanglement. in Multipartite Quantum Systems
Applie Mathematics & Information Sciences 4(3) (2010), 281 288 An International Journal c 2010 Dixie W Publishing Corporation, U. S. A. Monogamy an Polygamy of Entanglement in Multipartite Quantum Systems
More informationOPTIMIZATION OF QUANTUM UNIVERSAL DETECTORS
OPTIMIZATION OF QUANTUM UNIVERSAL DETECTORS G. M. D ARIANO, P. PERINOTTI, M. F. SACCHI QUIT Group, Unità INFM an Dipartimento i Fisica A. Volta, Università i Pavia, via A. Bassi 6, I-27100 Pavia, Italy
More informationarxiv:quant-ph/ v2 17 Jun 1996
Separability Criterion for Density Matrices arxiv:quant-ph/9604005v2 17 Jun 1996 Asher Peres Department of Physics, Technion Israel Institute of Technology, 32000 Haifa, Israel Abstract A quantum system
More informationFlocks of Quantum Clones: Multiple Copying of Qubits
Fortschr. Phys. 46 (998) 4 ±5, 5 ±5 Flocks of Quantum Clones: Multiple Copying of Qubits V. BuzÏek ;, M. Hillery and P. L. Knight 4 Institute of Physics, Slovak Academy of Sciences, DuÂbravska cesta 9,
More informationTransmitting and Hiding Quantum Information
2018/12/20 @ 4th KIAS WORKSHOP on Quantum Information and Thermodynamics Transmitting and Hiding Quantum Information Seung-Woo Lee Quantum Universe Center Korea Institute for Advanced Study (KIAS) Contents
More informationAn Efficient and Economic Scheme for Remotely Preparing a Multi-Qudit State via a Single Entangled Qudit Pair
Commun. Theor. Phys. (Beijing, China) 54 (2010) pp. 46 468 c Chinese Physical Society an IOP Publishing Lt Vol. 54, No., September 15, 2010 An Efficient an Economic Scheme for Remotely Preparing a Multi-Quit
More informationBipartite and Tripartite Entanglement in a Three-Qubit Heisenberg Model
Commun. Theor. Phys. (Beijing, China) 46 (006) pp. 969 974 c International Academic Publishers Vol. 46, No. 6, December 5, 006 Bipartite and Tripartite Entanglement in a Three-Qubit Heisenberg Model REN
More informationOn balance of information in bipartite quantum communication systems: entanglement-energy analogy
On balance of information in bipartite quantum communication systems: entanglement-energy analogy Ryszard Horodecki 1,, Micha l Horodecki 1, and Pawe l Horodecki 2, 1 Institute of Theoretical Physics and
More informationarxiv:quant-ph/ v1 27 Dec 2004
Multiparty Quantum Secret Sharing Zhan-jun Zhang 1,2, Yong Li 3 and Zhong-xiao Man 2 1 School of Physics & Material Science, Anhui University, Hefei 230039, China 2 Wuhan Institute of Physics and Mathematics,
More informationQubit channels that achieve capacity with two states
Qubit channels that achieve capacity with two states Dominic W. Berry Department of Physics, The University of Queenslan, Brisbane, Queenslan 4072, Australia Receive 22 December 2004; publishe 22 March
More informationQuantum Cloning WOOTTERS-ZUREK CLONER
Quantum Cloning Quantum cloning has been a topic of considerable interest for many years. It turns out to be quantum limit for copying an input state and is closely related to linear amplification when
More informationProbabilistic quantum cloning via Greenberger-Horne-Zeilinger states
Probabilistic quantum cloning via Greenberger-Horne-Zeilinger states Chuan-Wei Zhang, Chuan-Feng Li,* Zi-Yang Wang, and Guang-Can Guo Laboratory of Quantum Communication and Quantum Computation and Department
More informationarxiv: v2 [quant-ph] 24 Apr 2016
Teleportation via maximally and non-maximally entangled mixed states Satyabrata Adhikari Dept. of Mathematics, Birla Institute of Technology, Mesra, Ranchi-855, India Archan S. Majumdar Dept. of Astro
More informationInstantaneous Nonlocal Measurements
Instantaneous Nonlocal Measurements Li Yu Department of Physics, Carnegie-Mellon University, Pittsburgh, PA July 22, 2010 References Entanglement consumption of instantaneous nonlocal quantum measurements.
More informationENTANGLEMENT VERSUS QUANTUM DEGREE OF POLARIZATION
Romanian Reports in Physics 70, 104 (2018) ENTANGLEMENT VERSUS QUANTUM DEGREE OF POLARIZATION IULIA GHIU University of Bucharest, Faculty of Physics, Centre for Advanced Quantum Physics, PO Box MG-11,
More informationQUANTUM INFORMATION -THE NO-HIDING THEOREM p.1/36
QUANTUM INFORMATION - THE NO-HIDING THEOREM Arun K Pati akpati@iopb.res.in Instititute of Physics, Bhubaneswar-751005, Orissa, INDIA and Th. P. D, BARC, Mumbai-400085, India QUANTUM INFORMATION -THE NO-HIDING
More informationGeneralized Bell Inequality and Entanglement Witness
Nonlocal Seminar 2005 Bratislava, April 29th 2005 Reinhold A. Bertlmann Generalized Bell Inequality and Entanglement Witness Institute for Theoretical Physics University of Vienna Motivation Composite
More informationEntanglement versus quantum degree of polarization
Entanglement versus quantum degree of polarization arxiv:1804.04863v1 [quant-ph] 13 Apr 2018 Iulia Ghiu University of Bucharest, Faculty of Physics, Centre for Advanced Quantum Physics, PO Box MG-11, R-077125,
More informationQuantum Teleportation Pt. 3
Quantum Teleportation Pt. 3 PHYS 500 - Southern Illinois University March 7, 2017 PHYS 500 - Southern Illinois University Quantum Teleportation Pt. 3 March 7, 2017 1 / 9 A Bit of History on Teleportation
More informationPerfect quantum teleportation and dense coding protocols via the 2N-qubit W state
Perfect quantum teleportation and dense coding protocols via the -qubit W state Wang Mei-Yu( ) a)b) and Yan Feng-Li( ) a)b) a) College of Physics Science and Information Engineering, Hebei ormal University,
More informationTeleporting an Unknown Quantum State Via Dual Classical and Einstein Podolsky Rosen Channels 1
Teleporting an Unknown Quantum State Via Dual Classical and Einstein Podolsky Rosen Channels Charles H. Bennet, Gilles Brassard, Claude Crépeau, Richard Jozsa, Asher Peres, and William K. Wootters Team
More informationConditions for degradability of tripartite quantum states
Title Conditions for degradability of tripartite quantum states Author(s Fung, FCH; Li, CK; Sze, NS; Chau, HF Citation Journal of Physics A: Mathematical and Theoretical, 014, v. 47 n. 11, p. article no.
More informationOn the Conservation of Information in Quantum Physics
On the Conservation of Information in Quantum Physics Marco Roncaglia Physics Department an Research Center OPTIMAS, University of Kaiserslautern, Germany (Date: September 11, 2017 escribe the full informational
More informationEntanglement: Definition, Purification and measures
Entanglement: Definition, Purification and measures Seminar in Quantum Information processing 3683 Gili Bisker Physics Department Technion Spring 006 Gili Bisker Physics Department, Technion Introduction
More informationarxiv: v3 [quant-ph] 30 Oct 2017
Noname manuscript No (will be inserted by the editor) Lower bound on concurrence for arbitrary-dimensional tripartite quantum states Wei Chen Shao-Ming Fei Zhu-Jun Zheng arxiv:160304716v3 [quant-ph] 30
More informationarxiv:quant-ph/ v2 3 Oct 2000
Quantum key distribution without alternative measurements Adán Cabello Departamento de Física Aplicada, Universidad de Sevilla, 0 Sevilla, Spain January, 0 arxiv:quant-ph/990v Oct 000 Entanglement swapping
More informationarxiv:quant-ph/ v1 16 Jan 2006
Cloning and Joint Measurements of Incompatible Components of Spin Thomas Brougham, Erika Andersson and Stephen M. Barnett 1 1 SUPA, Department of Physics, University of Strathclyde, Glasgow G4 0NG, UK
More informationMultiparty Quantum Remote Control
Multiparty Quantum Remote Control Yu-Ting Chen and Tzonelih Hwang Abstract This paper proposes a multiparty quantum remote control (MQRC) protocol, which allows several controllers to perform remote operations
More informationDYNAMICS OF ENTANGLEMENT OF THREE-MODE GAUSSIAN STATES IN THE THREE-RESERVOIR MODEL
DYNAMICS OF ENTANGLEMENT OF THREE-MODE GAUSSIAN STATES IN THE THREE-RESERVOIR MODEL HODA ALIJANZADEH BOURA 1,,a, AURELIAN ISAR,b, YAHYA AKBARI KOURBOLAGH 1,c 1 Department of Physics, Azarbaijan Shahid
More informationMultipartite entangled coherent states
PHYSICAL REVIEW A, VOLUME 65, 012303 Multipartite entangled coherent states Xiaoguang Wang 1,2 and Barry C. Sanders 3 1 Institute of Physics and Astronomy, University of Aarhus, Aarhus, DK-8000, Denmark
More informationQuantum nonlocality in two three-level systems
PHYSICAL REVIEW A, VOLUME 65, 0535 Quantum nonlocality in two three-level systems A. Acín, 1, T. Durt, 3 N. Gisin, 1 and J. I. Latorre 1 GAP-Optique, 0 rue de l École-de-Médecine, CH-111 Geneva 4, Switzerland
More informationEstimation of Optimal Singlet Fraction (OSF) and Entanglement Negativity (EN)
Estimation of Optimal Singlet Fraction (OSF) and Entanglement Negativity (EN) Satyabrata Adhikari Delhi Technological University satyabrata@dtu.ac.in December 4, 2018 Satyabrata Adhikari (DTU) Estimation
More informationProbabilistic Teleportation of an Arbitrary Two-Qubit State via Positive Operator-Valued Measurement with Multi Parties
Commun. Theor. Phys. 67 (2017) 377 382 Vol. 67, No. 4, April 1, 2017 Probabilistic Teleportation of an Arbitrary Two-Qubit State via Positive Operator-Valued Measurement with Multi Parties Lei Shi ( 石磊
More informationarxiv:quant-ph/ Oct 2002
Measurement of the overlap between quantum states with the use of coherently addressed teleportation Andrzej Grudka* and Antoni Wójcik** arxiv:quant-ph/00085 Oct 00 Faculty of Physics, Adam Mickiewicz
More informationA Simulative Comparison of BB84 Protocol with its Improved Version
JCS&T Vol. 7 No. 3 October 007 A Simulative Comparison of BB84 Protocol with its Improve Version Mohsen Sharifi an Hooshang Azizi Computer Engineering Department Iran University of Science an Technology,
More informationBell inequality for qunits with binary measurements
Bell inequality for qunits with binary measurements arxiv:quant-ph/0204122v1 21 Apr 2002 H. Bechmann-Pasquinucci and N. Gisin Group of Applied Physics, University of Geneva, CH-1211, Geneva 4, Switzerland
More informationarxiv: v1 [quant-ph] 17 Apr 2013 I. INTRODUCTION
A SWAP gate for quits Juan Carlos Garcia-Escartin an Pero Chamorro-Posaa Universia e Vallaoli, Dpto. Teoría e la Señal e Ing. Telemática, Paseo Belén n o 15, 47011 Vallaoli, Spain (Date: April 18, 2013)
More informationConcentrating partial entanglement by local operations
PHYSICAL REVIEW A VOLUME 53, NUMBER 4 APRIL 1996 Concentrating partial entanglement by local operations Charles H. Bennett IBM Research Division, T. J. Watson Center, Yorktown Heights, New York 10598 Herbert
More informationarxiv:quant-ph/ v1 20 Jul 2006
Finite key analysis for symmetric attacks in quantum key istribution Tim Meyer, Hermann Kampermann, Matthias Kleinmann, an Dagmar Bruß Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsselorf,
More informationIntroduction to Quantum Information Hermann Kampermann
Introduction to Quantum Information Hermann Kampermann Heinrich-Heine-Universität Düsseldorf Theoretische Physik III Summer school Bleubeuren July 014 Contents 1 Quantum Mechanics...........................
More informationError Correction of Quantum Reference Frame Information
Error Correction of Quantum Reference Frame Information Patrick Hayen, 1 Sepehr Nezami, 1 Sanu Popescu, an Grant Salton 1 1 Stanfor Institute for Theoretical Physics, Stanfor University, Stanfor, California
More informationBoundary of the Set of Separable States
Boundary of the Set of Separale States Mingjun Shi, Jiangfeng Du Laoratory of Quantum Communication and Quantum Computation, Department of Modern Physics, University of Science and Technology of China,
More informationarxiv: v2 [quant-ph] 14 Nov 2014
Operation triggere quantum clock synchronization Jie-Dong Yue, 1 Yu-Ran Zhang, 1 an Heng Fan 1, 1 Beijing National Laboratory for Conense Matter Physics, Institute of Physics, Chinese Acaemy of Sciences,
More informationarxiv:quant-ph/ v1 10 Jan 2007
Blin encoing into quits J. S. Shaari a, M. R. B. Wahiin a,b, an S. Mancini c a Faculty of Science, International Islamic University of Malaysia IIUM), Jalan Gombak, 5300 Kuala Lumpur, Malaysia b Cyberspace
More informationTime-of-Arrival Estimation in Non-Line-Of-Sight Environments
2 Conference on Information Sciences an Systems, The Johns Hopkins University, March 2, 2 Time-of-Arrival Estimation in Non-Line-Of-Sight Environments Sinan Gezici, Hisashi Kobayashi an H. Vincent Poor
More informationQuantum Teleportation Pt. 1
Quantum Teleportation Pt. 1 PHYS 500 - Southern Illinois University April 17, 2018 PHYS 500 - Southern Illinois University Quantum Teleportation Pt. 1 April 17, 2018 1 / 13 Types of Communication In the
More informationQuantum Teleportation. Gur Yaari for HEisenberg's Seminar on Quantum Optics
Quantum Teleportation Gur Yaari for HEisenberg's Seminar on Quantum Optics Bell States Maximum Entangled Quantum States: The usual form of the CHSH inequality is: E(a, b) E(a, b ) + E(a, b) + E(a
More informationTheory of Quantum Entanglement
Theory of Quantum Entanglement Shao-Ming Fei Capital Normal University, Beijing Universität Bonn, Bonn Richard Feynman 1980 Certain quantum mechanical effects cannot be simulated efficiently on a classical
More informationarxiv:quant-ph/ v3 11 Mar 2004
ariv:quant-ph/040148v3 11 ar 004 Generalized G States and Distributed Quantum Computing Anocha Yimsiriwattana and Samuel J. Lomonaco Jr. Abstract. A key problem in quantum computing is finding a viable
More informationEntanglement Measures and Monotones
Entanglement Measures and Monotones PHYS 500 - Southern Illinois University March 30, 2017 PHYS 500 - Southern Illinois University Entanglement Measures and Monotones March 30, 2017 1 / 11 Quantifying
More informationEXTRAORDINARY SUBGROUPS NEEDED FOR THE CONSTRUCTION OF MUTUALLY UNBIASED BASES FOR THE DIMENSION d = 8
QUANTUM MECHANICS EXTRAORDINARY SUBGROUPS NEEDED FOR THE CONSTRUCTION OF MUTUALLY UNBIASED BASES FOR THE DIMENSION d = 8 IULIA GHIU 1,a, CRISTIAN GHIU 2 1 Centre for Advanced Quantum Physics, Department
More informationQuantum Teleportation
Fortschr. Phys. 50 (2002) 5 7, 608 613 Quantum Teleportation Samuel L. Braunstein Informatics, Bangor University, Bangor LL57 1UT, UK schmuel@sees.bangor.ac.uk Abstract Given a single copy of an unknown
More informationarxiv:quant-ph/ v1 14 Jun 1999
Teleportation via generalized measurements, and conclusive teleportation Tal Mor and Pawel Horodecki (August 4, 08 arxiv:quant-ph/990609v 4 Jun 999 In this work we show that teleportation [] is a special
More informationarxiv:quant-ph/ v1 1 Jun 2000
Probabilistic teleportation of two-particle entangled state Bao-Sen Shi, Yun-Kun Jiang and Guang-Can Guo Lab. of Quantum Communication and Quantum Computation Department of Physics University of Science
More informationOptimal copying of entangled two-qubit states
Optimal copying of entangled two-qubit states J. Novotný, 1 G. Alber, 2 and I. Jex 1 1 Department of Physics, FJFI ČVUT, Břehová 7, 115 19 Praha 1-Staré Město, Czech Republic 2 Institut für Angewandte
More informationarxiv:quant-ph/ v1 13 Mar 2007
Quantumness versus Classicality of Quantum States Berry Groisman 1, Dan Kenigsberg 2 and Tal Mor 2 1. Centre for Quantum Computation, DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce
More informationarxiv: v3 [quant-ph] 17 Nov 2014
REE From EOF Eylee Jung 1 and DaeKil Park 1, 1 Department of Electronic Engineering, Kyungnam University, Changwon 631-701, Korea Department of Physics, Kyungnam University, Changwon 631-701, Korea arxiv:1404.7708v3
More informationQuantum Gates, Circuits & Teleportation
Chapter 3 Quantum Gates, Circuits & Teleportation Unitary Operators The third postulate of quantum physics states that the evolution of a quantum system is necessarily unitary. Geometrically, a unitary
More informationA review on quantum teleportation based on: Teleporting an unknown quantum state via dual classical and Einstein- Podolsky-Rosen channels
JOURNAL OF CHEMISTRY 57 VOLUME NUMBER DECEMBER 8 005 A review on quantum teleportation based on: Teleporting an unknown quantum state via dual classical and Einstein- Podolsky-Rosen channels Miri Shlomi
More informationMax-Planck-Institut für Mathematik in den Naturwissenschaften Leipzig
Max-Planck-Institut für Mathematik in den Naturwissenschaften Leipzig Mutually Unbiased Maximally Entangled Bases in C d C kd by Yuan-Hong Tao, Hua Nan, Jun Zhang, and Shao-Ming Fei Preprint no.: 48 015
More informationScheme for implementing perfect quantum teleportation with four-qubit entangled states in cavity quantum electrodynamics
Scheme for implementing perfect quantum teleportation with four-qubit entangled states in cavity quantum electrodynamics Tang Jing-Wu( ), Zhao Guan-Xiang( ), and He Xiong-Hui( ) School of Physics, Hunan
More informationThermal quantum discord in Heisenberg models with Dzyaloshinski Moriya interaction
Thermal quantum discord in Heisenberg models with Dzyaloshinski Moriya interaction Wang Lin-Cheng(), Yan Jun-Yan(), and Yi Xue-Xi() School of Physics and Optoelectronic Technology, Dalian University of
More informationCompatible quantum correlations: on extension problems for Werner and isotropic states
Compatible quantum correlations: on extension problems for Werner an isotropic states Peter D. Johnson an Lorenza Viola Department of Physics an Astronomy, Dartmouth College, 6127 Wiler Laboratory, Hanover,
More informationEntanglement, Einstein-Podolsky-Rosen correlations, Bell nonlocality, and steering
PHYSICAL REVIEW A 76, 0526 2007 Entanglement, Einstein-Poolsky-Rosen correlations, Bell nonlocality, an steering S. J. Jones, H. M. Wiseman, an A. C. Doherty 2 Centre for Quantum Computer Technology, Centre
More informationRealizing probabilistic identification and cloning of quantum states via universal quantum logic gates
Realizing probabilistic identification and cloning of quantum states via universal quantum logic gates Chuan-Wei Zhang, Zi-Yang Wang, Chuan-Feng Li,* and Guang-Can Guo Laboratory of Quantum Communication
More informationLimitations on separable measurements by convex optimization
Limitations on separable measurements by convex optimization (Full paper available at arxiv:1408.6981) Somshubhro Bandyopadhyay 1 Alessandro Cosentino 2,3 Nathaniel Johnston 2,4 Vincent Russo 2,3 John
More informationSymmetric remote two-qubit preparation via positive operator-valued measure
J. At. Mol. Sci. doi: 0.4208/jams.0630.0720a Vol., No. 4, pp. 352-368 November 200 Symmetric remote two-qubit preparation via positive operator-valued measure Zhang-Yin Wang a, and Xing-Qiang Yang b, a
More informationarxiv: v2 [quant-ph] 18 Apr 2017
Measuring higher-imensional Entanglement Chanan Datta,,, Pankaj Agrawal,,, an Sujit K Chouhary, Institute of Physics, Sachivalaya Marg, Bhubaneswar 75005, Oisha, Inia. Homi Bhabha National Institute, Training
More informationTeleportation of Quantum States (1993; Bennett, Brassard, Crepeau, Jozsa, Peres, Wootters)
Teleportation of Quantum States (1993; Bennett, Brassard, Crepeau, Jozsa, Peres, Wootters) Rahul Jain U. Waterloo and Institute for Quantum Computing, rjain@cs.uwaterloo.ca entry editor: Andris Ambainis
More informationEntanglement and Quantum Teleportation
Entanglement and Quantum Teleportation Stephen Bartlett Centre for Advanced Computing Algorithms and Cryptography Australian Centre of Excellence in Quantum Computer Technology Macquarie University, Sydney,
More informationMP 472 Quantum Information and Computation
MP 472 Quantum Information and Computation http://www.thphys.may.ie/staff/jvala/mp472.htm Outline Open quantum systems The density operator ensemble of quantum states general properties the reduced density
More informationEntanglement swapping between multi-qudit systems
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL J. Phys. A: Math. Gen. 34 (2001) 4301 4311 www.iop.org/journals/ja PII: S0305-4470(01)17907-2 Entanglement swapping between
More informationShared Purity of Multipartite Quantum States
Shared Purity of Multipartite Quantum States Anindya Biswas Harish-Chandra Research Institute December 3, 2013 Anindya Biswas (HRI) Shared Purity December 3, 2013 1 / 38 Outline of the talk 1 Motivation
More informationarxiv:quant-ph/ v2 23 Sep 2004
arxiv:quant-ph/0409096v 3 Sep 004 MUBs: From Finite Projective Geometry to Quantum Phase Enciphering H. C. ROSU, M. PLANAT, M. SANIGA Applie Math-IPICyT, Institut FEMTO-ST, Slovak Astronomical Institute
More informationarxiv:quant-ph/ v1 29 Jun 2001
Atomic wave packet basis for quantum information Ashok Muthukrishnan an C. R. Strou, Jr. The Institute of Optics, University of Rochester, Rochester, New York 14627 (March 15, 2001) arxiv:quant-ph/0106165
More informationLocal cloning of entangled states
Local cloning of entangled states Vlad Gheorghiu Department of Physics Carnegie Mellon University Pittsburgh, PA 15213, U.S.A. March 16, 2010 Vlad Gheorghiu (CMU) Local cloning of entangled states March
More informationarxiv: v3 [quant-ph] 12 Jun 2018
Masing quantum information is impossible arxiv:1608.01695v3 [quant-ph] 12 Jun 2018 Kavan Modi, 1, run Kumar Pati, 2, diti Sen(De), 2, and Ujjwal Sen 2, 1 School of Physics & stronomy, Monash University,
More informationarxiv:quant-ph/ v1 8 Sep 2005
Remote Implementation of Quantum Operations arxiv:quant-ph/5957v 8 Sep 5 Susana F. Huelga, Martin B. Plenio,, Guo-Yong Xiang, Jian Li, and Guang-Can Guo Quantum Physics Group, STRI,Department of Physics,
More informationFidelity of Quantum Teleportation through Noisy Channels
Fidelity of Quantum Teleportation through Noisy Channels Sangchul Oh, Soonchil Lee, and Hai-woong Lee Department of Physics, Korea Advanced Institute of Science and Technology, Daejon, 305-701, Korea (Dated:
More informationQuantum Correlations as Necessary Precondition for Secure Communication
Quantum Correlations as Necessary Precondition for Secure Communication Phys. Rev. Lett. 92, 217903 (2004) quant-ph/0307151 Marcos Curty 1, Maciej Lewenstein 2, Norbert Lütkenhaus 1 1 Institut für Theoretische
More informationarxiv: v1 [quant-ph] 6 Jun 2008
Bloch vectors for quits Reinhol A. Bertlmann an Philipp Krammer Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria arxiv:0806.1174v1 [quant-ph] 6 Jun 008 We present three
More informationLeast-Squares Regression on Sparse Spaces
Least-Squares Regression on Sparse Spaces Yuri Grinberg, Mahi Milani Far, Joelle Pineau School of Computer Science McGill University Montreal, Canaa {ygrinb,mmilan1,jpineau}@cs.mcgill.ca 1 Introuction
More informationOptical quantum cloning
E. Wolf, Progress in Optics 49 2006 Elsevier B.V. All rights reserved Chapter 6 Optical quantum cloning by Nicolas J. Cerf Centre for Quantum Information and Communication, Ecole Polytechnique, Université
More informationarxiv: v2 [quant-ph] 21 Oct 2013
Genuine hidden quantum nonlocality Flavien Hirsch, 1 Marco Túlio Quintino, 1 Joseph Bowles, 1 and Nicolas Brunner 1, 1 Département de Physique Théorique, Université de Genève, 111 Genève, Switzerland H.H.
More informationIntroduction to the Vlasov-Poisson system
Introuction to the Vlasov-Poisson system Simone Calogero 1 The Vlasov equation Consier a particle with mass m > 0. Let x(t) R 3 enote the position of the particle at time t R an v(t) = ẋ(t) = x(t)/t its
More informationQuantum Entanglement: Detection, Classification, and Quantification
Quantum Entanglement: Detection, Classification, and Quantification Diplomarbeit zur Erlangung des akademischen Grades,,Magister der Naturwissenschaften an der Universität Wien eingereicht von Philipp
More informationSquashed entanglement
Squashed Entanglement based on Squashed Entanglement - An Additive Entanglement Measure (M. Christandl, A. Winter, quant-ph/0308088), and A paradigm for entanglement theory based on quantum communication
More informationarxiv: v3 [quant-ph] 5 Jun 2015
Entanglement and swap of quantum states in two qubits Takaya Ikuto and Satoshi Ishizaka Graduate School of Integrated Arts and Sciences, Hiroshima University, Higashihiroshima, 739-8521, Japan (Dated:
More information