Quantum-information thermodynamics
|
|
|
- Muriel Craig
- 5 years ago
- Views:
Transcription
1 Quantum-information thermodynamics Taahiro agawa Department of Basic cience, University of Toyo YITP Worshop on Quantum Information Physics (YQIP August 2014, YITP, Kyoto
2 Collaborators on Information Thermodynamics asahito Ueda (Univ. Toyo hoichi Toyabe (LU unich Eiro uneyui (Chuo Univ. asai ano (Univ. Toyo osue Ito (Univ. Toyo Naoto hiraishi (Univ. Toyo ang Woo Kim (Pusan National Univ. Jung Jun Par (National Univ. ingapore Kang-Hwan Kim (KAIT imone De Liberato (Univ. Paris VII Juan. R. Parrondo (Univ. adrid Jordan. Horowitz (Univ. assachusetts Jua Peola (Aalto Univ. Jonne Kosi (Aalto Univ. Ville aisi (Aalto Univ.
3 Outline Introduction Quantum entropy and information econd law with quantum feedbac Comprehensive framewor of quantum-information thermodynamics Paradox of axwell s demon
4 Outline Introduction Quantum entropy and information econd law with quantum feedbac Comprehensive framewor of quantum-information thermodynamics Paradox of axwell s demon
5 Thermodynamics in the Fluctuating World Thermodynamics of small systems Thermodynamic quantities are fluctuating! econd law of thermodynamics Nonequilibrium thermodynamics
6 Information Thermodynamics Information ystem Demon Feedbac Information processing at the level of thermal fluctuations Foundation of the second law of thermodynamics Application to nanomachines and nanodevices
7 L. zilard, Z. Phys. 53, 840 (1929 zilard Engine (1929 Initial tate Partition Which? Heat bath T Tln2 B Wor Isothermal, quasi-static expansion Feedbac easurement Left Right ln 2 Free energy: Increase F E T Decrease by feedbac Can control physical entropy by using information
8 Information Heat Engine Controller Information Feedbac mall system Tln2 B Tln2 B Can increase the system s free energy even if there is no energy flow between the system and the controller
9 Experimental Realizations (yet classical With a colloidal particle Toyabe, T, Ueda, uneyui, & ano, Nature Physics (2010 Efficiency: 30% Validation of ( W F e With a single electron Kosi, aisi, T, & Peola, PRL (2014 Efficiency: 75% Validation of ( W F I e 1
10 Outline Introduction Quantum entropy and information econd law with quantum feedbac Comprehensive framewor of quantum-information thermodynamics Paradox of axwell s demon
11 Classical Entropy Information content with event : Average ln 1 p hannon entropy: H p ln 1 p
12 Quantum Entropy Von Neumann entropy: ( tr ln : density operator i qi i i ( q ln i i q i with an orthonormal basis Characterizes the randomness of the classical mixture in the density operator
13 Von Neumann and Thermodynamic Entropies Canonical distribution: can ( FE e E: Hamiltonian Free energy: F Average energy: E BT ln tr e E tr cane can E can F B Ttr can ln can Cf. E F T can therm Thermodynamic entropy The von Neumann entropy is consistent with thermodynamic entropy in the canonical distribution
14 utual Information ystem easurement with stochastic errors emory (measurement device ystem I emory I( : H( H( H( 0 I H( Correlation between and No information No error I ln 2 ln (1 ln( Ex. Binary symmetric channel I
15 Quantum utual Information A B AB I A:B ( ( ( ( AB A B AB I ( A:B AB 0
16 Quantum easurement Projection measurement (error-free Observable A P Projection operators { P } General measurement Kraus operators E { i, } : measurement outcome POV: { } E i i i E I Probability p Post-measurement state tr( P 1 p PP Probability p Post-measurement state tr( E 1 p i i i
17 QC-mutual Information (1 Information flow from Quantum system to Classical outcome by quantum measurement I ( p ( QC : measured density operator p tr[ ] : probability of obtaining outcome 1 p : post-measurement state with outcome Assumed a single Kraus operator for each outcome H. J. Groenewold, Int. J. Theor. Phys. 4, 327 ( Ozawa, J. ath. Phys. 27, 759 (1986. T and. Ueda, PRL 100, (2008.
18 QC-mutual Information (2 0 I H QC H p ln p No information Error-free & classical Any POV element is identity operator Any POV element is projection and commutable with measured state Classical measurement, IQC reduces to the classical mutual information If the measured state is a pure state: I QC 0
19 Outline Introduction Quantum entropy and information econd law with quantum feedbac Comprehensive framewor of quantum-information thermodynamics Paradox of axwell s demon
20 The econd Law of Thermodynamics (without Feedbac Volume V Heat bath (temperature T Wor We extract the wor by changing external parameters (volume of the gas, frequency of optical tweezers,. W F ext (the equality is achieved in the quasi-static process With a cycle, F 0 holds, and therefore W ext 0 (Kelvin s principle
21 Quantum Feedbac Control Quantum system Quantum measurement Outcome Controller Control protocol can depend on outcome after measurement
22 Generalized econd Law with Feedbac Information I Heat bath Engine Feedbac Wor W ext F T and. Ueda, PRL 100, (2008 W ext F B TI QC The upper bound of the wor extracted by the demon is bounded by the QC-mutual information. The equality can be achieved: K. Jacobs, PRA 80, (2009 J.. Horowitz & J.. R. Parrondo, EPL 95, (2011 D. Abreu & U. eifert, EPL 94, (2011 J.. Horowitz & J.. R. Parrondo, New J. Phys. 13, (2011 T. agawa &. Ueda, PRE 85, (2012. Bauer, D. Abreu & U. eifert, J. Phys. A: ath. Theor. 45, (2012
23 Information Heat Engine Conventional heat engine: Heat Wor TH QH Heat engine QL TL Heat efficiency e W Q ext H 1 T T L H Wext Carnot cycle Information heat engine: utual information Wor and Free energy W ext F B TI QC zilard engine
24 Outline Introduction Quantum entropy and information econd law with quantum feedbac Comprehensive framewor of quantum-information thermodynamics Paradox of axwell s demon
25 Entropy Production in Nonequilibrium Dynamics Wor W ystem Heat bath B (inverse temperature β Heat Q Entropy production in the total system: B Q Change in the von Neumann entropy of If the initial and the final states are canonical distributions: W F B Free-energy difference
26 econd Law of Thermodynamics B 0 Holds true for nonequilibrium initial and final states Entropy production in the whole universe is nonnegative! A lot of derivations have been nown (Positivity of the relative entropy, Its monotonicity, Fluctuation theorem & Jarzynsi equality, If the initial state is the canonical distribution: W F
27 ystem and emory ystem (Woring engine Information emory (Controller Feedbac Consider the role of memory explicitly
28 Entropy Change in ystem and emory ystem emory ( ( ( I:( I : I B : Q
29 emory tructure H H ( Total Hilbert space of memory is the direct sum of subspaces corresponding to outcome ymmetric memory 0 1 Asymmetric memory 0 1
30 easurement Process Initial state: (0 (0 is on (0 H CPTP map of measurement process: meas E Post-measurement state: ' E meas ( Assume ( ( ' ' p p : probability of obtaining outcome ( 1 ' :post-measurement state of p ( ' is on H ( (projection postulate
31 Entropy Change during easurement Before measurement: ( ( After measurement: ( ( ' ( ' ( ' I:( ' meas meas meas I ' :( Bac-action of measurement utual information: ( I ( ' ( ' ( ' :
32 econd Law for easurement meas meas meas B I : ' meas B 0 ( Q Assume: heat is absorbed only by memory during measurement meas Q meas I ' :( meas Q meas ( ' p ( ' ( QC-mutual information meas Q I QC
33 Energy Cost for easurement meas Q I QC W E B T meas B TI QC ame bound as that without measurement Additional energy cost to obtain information Information is not free! ΔF=0 (symmetric memory & H=I QC (classical and error-free measurement W 0 T and. Ueda, PRL 102, (2009; 106, (E (2011.
34 Feedbac Process Assume CPTP map of feedbac process: fb fb ( E E P ( Projection super-operator onto H ( Use only classical outcome for feedbac Post-feedbac state: ' ' E fb ( ' ( ( '' ' p Unchanged '' ( E fb ( ( [ ' ]
35 Entropy Change during Feedbac ' ( ' ( ' ( ' ( : I Before feedbac: '' ( ' ( : : fb fb I I I ' ( ' ( ' ( ( : After feedbac: '' ( ' ( '' ( '' ( : I Unchanged
36 econd law for Feedbac fb fb B I : ' I:( '' ( Q fb B 0 fb Q I : ( ' I:( '' Entropy decrease by feedbac fb Q I ' :(
37 Entire Entropy Change in Engine By adding meas to the both-hand sides of fb Q I ' :( During measurement and feedbac, Q meas I ' :( QC-mutual information Q I QC W ext F B TI QC
38 Generalized econd Law: ummary easurement and feedbac Heat bath B ystem emory Heat bath B Q I Q I QC QC
39 Duality between easurement and Feedbac Feedbac Correlation Time easurement Time-reversal transformation wap system and memory easurement becomes feedbac (and vice versa
40 Outline Introduction Quantum entropy and information econd law with quantum feedbac Comprehensive framewor of quantum-information thermodynamics Paradox of axwell s demon
41 Problem Heat bath ystem emory Heat bath What compensates for the entropy decrease here? For zilard engine, Q ln 2
42 Conventional Arguments easurement process! Brillouin Erasure process! (From Landauer principle Bennett & Landauer Widely accepted since 1980 s
43 Total Entropy Production Generalized second laws have been derived from the second law for the total system: B 0 I : Q 0 If the quantum mutual information is taen into account, the total entropy production is always nonnegative for each process of measurement or feedbac.
44 Revisit the Problem Heat bath ystem emory Heat bath What compensates for the entropy decrease here? The quantum mutual information compensates for it. For zilard engine, Q ln 2 B Q I ln 2 ln 2 0
45 Resolution of the Paradox axwell s demon is consistent with the second law for measurement and feedbac processes individually The quantum mutual information is the ey We don t need the Landauer principle to understanding the consistency
46 ummary Unified theory of quantum-information thermodynamics inimal energy cost for quantum information processing Paradox of axwell s demon Theory: T. agawa &. Ueda, Phys. Rev. Lett. 100, (2008. T. agawa &. Ueda, Phys. Rev. Lett. 102, (2009; 106, (E (2011. T. agawa &. Ueda, Phys. Rev. Lett. 109, (2012. T. agawa &. Ueda, New Journal of Physics 15, (2013. Experiment:. Toyabe, T.agawa,. Ueda, E. uneyui, &. ano, Nature Physics 6, 988 (2010. J. V. Kosi, V. F. aisi, T. agawa, & J. P. Peola, Phys. Rev. Lett. 113, (2014. Review: J.. R. Parrondo, J.. Horowitz, & T. agawa, Nature Physics, Coming soon! Than you for your attentions!
Maxwell's Demon in Biochemical Signal Transduction
Maxwell's Demon in Biochemical Signal Transduction Takahiro Sagawa Department of Applied Physics, University of Tokyo New Frontiers in Non-equilibrium Physics 2015 28 July 2015, YITP, Kyoto Collaborators
arxiv: v1 [quant-ph] 30 Jul 2012
![arxiv: v1 [quant-ph] 30 Jul 2012](/thumbs/88/115495776.jpg "arxiv: v1 [quant-ph] 30 Jul 2012")
Thermodynamic Wor Gain from Entanglement arxiv:1207.6872v1 [quant-ph] 30 Jul 2012 Ken Funo, 1 Yu Watanabe, 2 and asahito Ueda 1 1 Department of Physics, The University of Toyo, 7-3-1 Hongo, unyo-u, Toyo,
Thermodynamics of Information Processing in Small Systems )
INVITED PAPERS 1 Progress of Theoretical Physics, Vol. 127, No. 1, January 2012 Thermodynamics of Information Processing in Small Systems ) Taahiro Sagawa 1,2 1 The Haubi Center, Kyoto University, Kyoto
Emergent Fluctuation Theorem for Pure Quantum States
Emergent Fluctuation Theorem for Pure Quantum States Takahiro Sagawa Department of Applied Physics, The University of Tokyo 16 June 2016, YITP, Kyoto YKIS2016: Quantum Matter, Spacetime and Information
The physics of information: from Maxwell s demon to Landauer. Eric Lutz University of Erlangen-Nürnberg
The physics of information: from Maxwell s demon to Landauer Eric Lutz University of Erlangen-Nürnberg Outline 1 Information and physics Information gain: Maxwell and Szilard Information erasure: Landauer
Quantum heat engine using energy quantization in potential barrier
Quantum heat engine using energy quantization in potential barrier Sibasish Ghosh Optics and Quantum Information Group The Institute of Mathematical Sciences C.I.T. Campus, Taramani Chennai 600113. [In
Second law, entropy production, and reversibility in thermodynamics of information
Second law, entropy production, and reversibility in thermodynamics of information Takahiro Sagawa arxiv:1712.06858v1 [cond-mat.stat-mech] 19 Dec 2017 Abstract We present a pedagogical review of the fundamental
arxiv: v2 [quant-ph] 1 Jul 2013
![arxiv: v2 [quant-ph] 1 Jul 2013](/thumbs/72/66573335.jpg "arxiv: v2 [quant-ph] 1 Jul 2013")
Second law of the information thermodynamics with entanglement transfer Hiroyasu Tajima 1 1 Department of Physics, The University of Toyo, Komaba, Meguro, Toyo 153-8505 We present a new inequality which
Maxwell's Demons and Quantum Heat Engines in Superconducting Circuits
Maxwell's Demons and Quantum Heat Engines in Superconducting Circuits Jukka Pekola, Low Temperature Laboratory Aalto University, Helsinki, Finland Jonne Koski, now ETH Olli-Pentti Saira, now Caltech Ville
Information Thermodynamics on Causal Networks
1/39 Information Thermodynamics on Causal Networks FSPIP 2013, July 12 2013. Sosuke Ito Dept. of Phys., the Univ. of Tokyo (In collaboration with T. Sagawa) ariv:1306.2756 The second law of thermodynamics
Transmitting 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
LECTURE 4: Information-powered refrigerators; quantum engines and refrigerators
LECTURE 4: Information-powered refrigerators; quantum engines and refrigerators Fluctuation relations U. Seifert, Rep. Prog. Phys. 75, 126001 (2012) Fluctuation relations in a circuit Experiment on a double
Nonequilibrium Thermodynamics of Small Systems: Classical and Quantum Aspects. Massimiliano Esposito
Nonequilibrium Thermodynamics of Small Systems: Classical and Quantum Aspects Massimiliano Esposito Paris May 9-11, 2017 Introduction Thermodynamics in the 19th century: Thermodynamics in the 21th century:
Even if you're not burning books, destroying information generates heat.
Even if you're not burning books, destroying information generates heat. Information and Thermodynamics: Experimental verification of Landauer's erasure principle with a colloidal particle Antoine Bérut,
Experimental Rectification of Entropy Production by Maxwell s Demon in a Quantum System
Experimental Rectification of Entropy Production by Maxwell s Demon in a Quantum System Tiago Barbin Batalhão SUTD, Singapore Work done while at UFABC, Santo André, Brazil Singapore, January 11th, 2017
Non-Equilibrium Fluctuations in Expansion/Compression Processes of a Single-Particle Gas
Non-Equilibrium Fluctuations in Expansion/Compression Processes o a Single-Particle Gas Hyu Kyu Pa Department o Physics, UNIST IBS Center or Sot and Living Matter Page 1 November 8, 015, Busan Nonequilibrium
Quantum Thermodynamics
Quantum Thermodynamics In this chapter we wish to give some insights to quantum thermodynamics. It can be seen as an introduction to the topic, however not a broad one but rather an introduction by examples.
QUANTUM 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
04. Information and Maxwell's Demon. I. Dilemma for Information-Theoretic Exorcisms.
04. Information and Maxwell's Demon. I. Dilemma for Information-Theoretic Exorcisms. Two Options: (S) (Sound). The combination of object system and demon forms a canonical thermal system. (P) (Profound).
Chapter 20 Entropy and the 2nd Law of Thermodynamics
Chapter 20 Entropy and the 2nd Law of Thermodynamics A one-way processes are processes that can occur only in a certain sequence and never in the reverse sequence, like time. these one-way processes are
Maxwell s Demon. Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ (October 3, 2004)
1 Problem Maxwell s Demon Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544 (October 3, 2004) This problem is prob. 2 of [1]. One of the earliest conceptual supercomputers
Nonintegrability and the Fourier heat conduction law
Nonintegrability and the Fourier heat conduction law Giuliano Benenti Center for Nonlinear and Complex Systems, Univ. Insubria, Como, Italy INFN, Milano, Italy In collaboration with: Shunda Chen, Giulio
Comparative analysis of non-equilibrium quantum Landauer bounds
Comparative analysis of non-equilibrium quantum Landauer bounds Steve Campbell in collaboration with: Giacomo Guarnieri, Mauro Paternostro, and Bassano Vacchini To Appear July(ish) 2017 Landauer s Principle
Thermal pure quantum state
Thermal pure quantum state Sho Sugiura ( 杉浦祥 ) Institute for Solid State Physics, Univ. Tokyo Collaborator: Akira Shimizu (Univ. Tokyo) SS and A.Shimizu, PRL 108, 240401 (2012) SS and A.Shimizu, PRL 111,
General formula for the efficiency of quantum-mechanical analog of the Carnot engine
General formula for the efficiency of quantum-mechanical analog of the Carnot engine Sumiyoshi Abe Department of Physical Engineering, Mie University, Mie 514-8507, Japan Abstract: An analog of the Carnot
ON BROWNIAN COMPUTATION
ON BROWNIAN COMPUTATION JOHN D. NORTON Department of History and Philosophy of Science Center for Philosophy of Science University of Pittsburgh Pittsburgh PA USA 15260 jdnorton@pitt.edu Draft: October10,
Optimal quantum driving of a thermal machine
Optimal quantum driving of a thermal machine Andrea Mari Vasco Cavina Vittorio Giovannetti Alberto Carlini Workshop on Quantum Science and Quantum Technologies ICTP, Trieste, 12-09-2017 Outline 1. Slow
arxiv: v2 [cond-mat.stat-mech] 9 Jul 2012
![arxiv: v2 [cond-mat.stat-mech] 9 Jul 2012](/thumbs/78/78428944.jpg "arxiv: v2 [cond-mat.stat-mech] 9 Jul 2012")
epl draft Stochastic thermodynamics for Maxwell demon feedbacks arxiv:1204.5671v2 [cond-mat.stat-mech] 9 Jul 2012 Massimiliano sposito 1 and Gernot Schaller 2 1 Complex Systems and Statistical Mechanics,
Quantum correlations and decoherence in systems of interest for the quantum information processing
Universita' degli Studi di Milano Physics, Astrophysics and Applied Physics PhD School: 1 st Year-Student Mini-Workshop Quantum correlations and decoherence in systems of interest for the quantum information
General Formula for the Efficiency of Quantum-Mechanical Analog of the Carnot Engine
Entropy 2013, 15, 1408-1415; doi:103390/e15041408 Article OPEN ACCESS entropy ISSN 1099-4300 wwwmdpicom/journal/entropy General Formula for the Efficiency of Quantum-Mechanical Analog of the Carnot Engine
Lecture 27: Entropy and Information Prof. WAN, Xin
General Physics I Lecture 27: Entropy and Information Prof. WAN, Xin xinwan@zju.edu.cn http://zimp.zju.edu.cn/~xinwan/ 1st & 2nd Laws of Thermodynamics The 1st law specifies that we cannot get more energy
Efficiency at Maximum Power in Weak Dissipation Regimes
Efficiency at Maximum Power in Weak Dissipation Regimes R. Kawai University of Alabama at Birmingham M. Esposito (Brussels) C. Van den Broeck (Hasselt) Delmenhorst, Germany (October 10-13, 2010) Contents
arxiv: v4 [cond-mat.stat-mech] 3 Mar 2017
![arxiv: v4 [cond-mat.stat-mech] 3 Mar 2017](/thumbs/95/123892055.jpg "arxiv: v4 [cond-mat.stat-mech] 3 Mar 2017")
Memory Erasure using Time Multiplexed Potentials Saurav Talukdar, Shreyas Bhaban and Murti V. Salapaka University of Minnesota, Minneapolis, USA. (Dated: March, 7) arxiv:69.87v [cond-mat.stat-mech] Mar
arxiv: v1 [quant-ph] 7 Jan 2019
![arxiv: v1 [quant-ph] 7 Jan 2019](/thumbs/93/113119061.jpg "arxiv: v1 [quant-ph] 7 Jan 2019")
Quantum Coherence in a Quantum Heat Engine arxiv:1901.01662v1 [quant-ph] 7 Jan 2019 Yun-Hao hi, 1, 2, 3 Hai-Long hi, 4, 5 Xiao-Hui Wang, 2, 6, Ming-Liang Hu, 7 i-yuan Liu, 1, 3, 6 Wen-Li Yang, 1, 2, 6
Information and Physics Landauer Principle and Beyond
Information and Physics Landauer Principle and Beyond Ryoichi Kawai Department of Physics University of Alabama at Birmingham Maxwell Demon Lerner, 975 Landauer principle Ralf Landauer (929-999) Computational
Beyond the Second Law of Thermodynamics
Beyond the Second Law of Thermodynamics C. Van den Broeck R. Kawai J. M. R. Parrondo Colloquium at University of Alabama, September 9, 2007 The Second Law of Thermodynamics There exists no thermodynamic
Asymptotic Pure State Transformations
Asymptotic Pure State Transformations PHYS 500 - Southern Illinois University April 18, 2017 PHYS 500 - Southern Illinois University Asymptotic Pure State Transformations April 18, 2017 1 / 15 Entanglement
Maxwell s Demon. Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ (October 3, 2004; updated September 20, 2016)
1 Problem Maxwell s Demon Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544 (October 3, 2004; updated September 20, 2016) This problem is prob. 2 of [1]. One of the
Operator Quantum Error Correcting Codes
Operator Quantum Error Correcting Codes Vlad Gheorghiu Department of Physics Carnegie Mellon University Pittsburgh, PA 15213, U.S.A. June 18, 2008 Vlad Gheorghiu (CMU) Operator Quantum Error Correcting
Quantum measurement theory and micro-macro consistency in nonequilibrium statistical mechanics
Nagoya Winter Workshop on Quantum Information, Measurement, and Quantum Foundations (Nagoya, February 18-23, 2010) Quantum measurement theory and micro-macro consistency in nonequilibrium statistical mechanics
Currents through Quantum dots. Bhaskaran Muralidharan Dept. of Electrical Engineering, Indian institute of technology Bombay HRI Allahabad 29/02/2016
Currents through Quantum dots Bhaskaran Muralidharan Dept. of Electrical Engineering, Indian institute of technology Bombay HRI Allahabad 9/0/016 ingle pins: An exciting frontier Read-Out of spins Elzerman
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
Quantum and Information Thermodynamics: A nifying Framework based on Repeated Interactions Philipp trasberg, Gernot challer, and Tobias Brandes Institut für Theoretische Physik, Technische niversität Berlin,
DEMONS: MAXWELL S DEMON, SZILARD S ENGINE AND LANDAUER S ERASURE DISSIPATION
In: Proceedings of the first conference on Hot Topics in Physical Informatics (HoTPI, 2013 November). Paper is in press at International Journal of Modern Physics: Conference Series (2014). DEMONS: MAXWELL
Quantum Thermodynamics
Quantum Thermodynamics Sai Vinjanampathy a and Janet Anders b a Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543. b Department of Physics and Astronomy,
Irreversibility and the arrow of time in a quenched quantum system. Eric Lutz Department of Physics University of Erlangen-Nuremberg
Irreversibility and the arrow of time in a quenched quantum system Eric Lutz Department of Physics University of Erlangen-Nuremberg Outline 1 Physics far from equilibrium Entropy production Fluctuation
Lecture 5: Temperature, Adiabatic Processes
Lecture 5: Temperature, Adiabatic Processes Chapter II. Thermodynamic Quantities A.G. Petukhov, PHYS 743 September 20, 2017 Chapter II. Thermodynamic Quantities Lecture 5: Temperature, Adiabatic Processes
arxiv: v2 [cond-mat.stat-mech] 16 Mar 2012
![arxiv: v2 [cond-mat.stat-mech] 16 Mar 2012](/thumbs/73/68169064.jpg "arxiv: v2 [cond-mat.stat-mech] 16 Mar 2012")
arxiv:119.658v2 cond-mat.stat-mech] 16 Mar 212 Fluctuation theorems in presence of information gain and feedback Sourabh Lahiri 1, Shubhashis Rana 2 and A. M. Jayannavar 3 Institute of Physics, Bhubaneswar
arxiv: v2 [quant-ph] 17 Nov 2016
![arxiv: v2 [quant-ph] 17 Nov 2016](/thumbs/72/67715400.jpg "arxiv: v2 [quant-ph] 17 Nov 2016")
Improved Uncertainty Relation in the Presence of Quantum Memory Yunlong Xiao, 1, Naihuan Jing, 3,4 Shao-Ming Fei, 5, and Xianqing Li-Jost 1 School of Mathematics, South China University of Technology,
arxiv: v1 [physics.class-ph] 14 Apr 2012
![arxiv: v1 [physics.class-ph] 14 Apr 2012](/thumbs/87/95532282.jpg "arxiv: v1 [physics.class-ph] 14 Apr 2012")
arxiv:1204.4895v1 [physics.class-ph] 14 Apr 2012 IS THE CLAUSIUS INEQUALITY A CONSEQUENCE OF THE SECOND LAW? ALEXEY V. GAVRILOV Abstract. We present an analysis of the foundations of the well known Clausius
Landauer s principle in the quantum domain
Landauer s principle in the quantum domain Janet Anders Dept of Physics & Astronomy University College London London WC1E 6BT, UK j.anders@ucl.ac.uk Saroosh Shabbir Stefanie Hilt Department of Physics
Nonequilibrium thermodynamics at the microscale
Nonequilibrium thermodynamics at the microscale Christopher Jarzynski Department of Chemistry and Biochemistry and Institute for Physical Science and Technology ~1 m ~20 nm Work and free energy: a macroscopic
arxiv:quant-ph/ v1 21 Feb 2002
QUANTUM DISCORD AND MAXWELL S DEMONS Wojciech Hubert Zurek Theory Division, T-6, MS B288, LANL, Los Alamos, NM87545 Abstract arxiv:quant-ph/0202123v1 21 Feb 2002 Quantum discord was proposed as an information
arxiv: v2 [cond-mat.stat-mech] 3 Jun 2018
![arxiv: v2 [cond-mat.stat-mech] 3 Jun 2018](/thumbs/85/91859417.jpg "arxiv: v2 [cond-mat.stat-mech] 3 Jun 2018")
Marginal and Conditional Second Laws of Thermodynamics Gavin E. Crooks 1 and Susanne Still 2 1 Theoretical Institute for Theoretical Science 2 University of Hawai i at Mānoa Department of Information and
arxiv:quant-ph/ v1 4 Jul 2003
Measureament, Trace, Information Erasure and Entropy Qing-Yu Cai State Key of Laboratory of Magentic Resonance and Atom and Molecular Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy
Thermodynamics for small devices: From fluctuation relations to stochastic efficiencies. Massimiliano Esposito
Thermodynamics for small devices: From fluctuation relations to stochastic efficiencies Massimiliano Esposito Beijing, August 15, 2016 Introduction Thermodynamics in the 19th century: Thermodynamics in
MEASUREMENT THEORY QUANTUM AND ITS APPLICATIONS KURT JACOBS. University of Massachusetts at Boston. fg Cambridge WW UNIVERSITY PRESS
QUANTUM MEASUREMENT THEORY AND ITS APPLICATIONS KURT JACOBS University of Massachusetts at Boston fg Cambridge WW UNIVERSITY PRESS Contents Preface page xi 1 Quantum measurement theory 1 1.1 Introduction
On Composite Quantum Hypothesis Testing
University of York 7 November 207 On Composite Quantum Hypothesis Testing Mario Berta Department of Computing with Fernando Brandão and Christoph Hirche arxiv:709.07268 Overview Introduction 2 Composite
Entropy, majorization and thermodynamics in general probabilistic systems
Entropy, majorization and thermodynamics in general probabilistic systems Howard Barnum 1, Jonathan Barrett 2, Marius Krumm 3, Markus Mueller 3 1 University of New Mexico, 2 Oxford, 3 U Heidelberg, U Western
Optimal work extraction and thermodynamics of quantum measurements and correlations
Optimal wor extraction and thermodynamics of quantum measurements and correlations Gonzalo Manzano, 1, 2, 3 Francesco Plastina, 4, 5 and Roberta Zambrini 1 1 Institute for Cross-Disciplinary Physics and
arxiv:chao-dyn/ v1 17 Feb 1999
Entropy Generation in Computation and the Second Law of Thermodynamics arxiv:chao-dyn/9902012v1 17 Feb 1999 Shunya Ishioka Department of Information Science, Kanagawa University Hiratsuka, Kanagawa 259-1293,
Irreversibility and the Second Law in Thermodynamics and Statistical Mechanics
Irreversibility and the Second Law in Thermodynamics and Statistical Mechanics Erik Curiel Munich Center For Mathematical Philosophy Ludwig-Maximilians-Universität and Black Hole Initiative Harvard University
Two odd things about computation. Daniel Murfet University of Melbourne
Two odd things about computation Daniel Murfet University of Melbourne Two odd things I. Maxwell s demon (1871) Energy cost of computation II. Russell s paradox (1901) Time and space cost of computation
The first law of general quantum resource theories
The first law of general quantum resource theories Carlo Sparaciari 1, Lídia del Rio 2, Carlo Maria Scandolo 3, Philippe Faist 4, and Jonathan Oppenheim 1 1 Department of Physics and Astronomy, University
J. Stat. Mech. (2011) P07008
Journal of Statistical Mechanics: Theory and Experiment On thermodynamic and microscopic reversibility Gavin E Crooks Physical Biosciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA
Quantum error correction for continuously detected errors
Quantum error correction for continuously detected errors Charlene Ahn, Toyon Research Corporation Howard Wiseman, Griffith University Gerard Milburn, University of Queensland Quantum Information and Quantum
1. Basic rules of quantum mechanics
1. Basic rules of quantum mechanics How to describe the states of an ideally controlled system? How to describe changes in an ideally controlled system? How to describe measurements on an ideally controlled
Quantum thermodynamics
Quantum thermodynamics a primer for the curious quantum mechanic Lídia del Rio, ETH Zurich QIP 2017 Seattle This talk is licensed under a Creative Commons Attribution 4.0 International License. Why quantum
Information and thermodynamics: Experimental verification of Landauer s erasure principle
arxiv:153.6537v1 [cond-mat.stat-mech] 23 Mar 215 Information and thermodynamics: Experimental verification of Landauer s erasure principle Antoine Bérut, Artyom Petrosyan and Sergio Ciliberto Université
A Simple Model of Quantum Trajectories. Todd A. Brun University of Southern California
A Simple Model of Quantum Trajectories Todd A. Brun University of Southern California Outline 1. Review projective and generalized measurements. 2. A simple model of indirect measurement. 3. Weak measurements--jump-like
Introduction to a few basic concepts in thermoelectricity
Introduction to a few basic concepts in thermoelectricity Giuliano Benenti Center for Nonlinear and Complex Systems Univ. Insubria, Como, Italy 1 Irreversible thermodynamic Irreversible thermodynamics
When Is a Measurement Reversible?
When Is a Measurement Reversible? Information Gain and Disturbance in Quantum Measurements (revisited) Physical Review A 93, 062314 (2016) Francesco Buscemi, Siddhartha Das, Mark M. Wilde contributed talk
High-Temperature Criticality in Strongly Constrained Quantum Systems
High-Temperature Criticality in Strongly Constrained Quantum Systems Claudio Chamon Collaborators: Claudio Castelnovo - BU Christopher Mudry - PSI, Switzerland Pierre Pujol - ENS Lyon, France PRB 2006
Decoherence and Thermalization of Quantum Spin Systems
Copyright 2011 American Scientific Publishers All rights reserved Printed in the United States of America Journal of Computational and Theoretical Nanoscience Vol. 8, 1 23, 2011 Decoherence and Thermalization
Introduction to Stochastic Thermodynamics: Application to Thermo- and Photo-electricity in small devices
Université Libre de Bruxelles Center for Nonlinear Phenomena and Complex Systems Introduction to Stochastic Thermodynamics: Application to Thermo- and Photo-electricity in small devices Massimiliano Esposito
Quantum theory without predefined causal structure
Quantum theory without predefined causal structure Ognyan Oreshkov Centre for Quantum Information and Communication, niversité Libre de Bruxelles Based on work with Caslav Brukner, Nicolas Cerf, Fabio
From unitary dynamics to statistical mechanics in isolated quantum systems
From unitary dynamics to statistical mechanics in isolated quantum systems Marcos Rigol Department of Physics The Pennsylvania State University The Tony and Pat Houghton Conference on Non-Equilibrium Statistical
Conditioning, Correlation and Entropy Generation in Maxwell s Demon
Entropy 2013, 15, 4243-4265; doi:10.3390/e15104243 Article Conditioning, Correlation and Entropy Generation in Maxwell s Demon Neal G. Anderson OPEN ACCESS entropy ISSN 1099-4300 www.mdpi.com/journal/entropy
Aspects of nonautonomous molecular dynamics
Aspects of nonautonomous molecular dynamics IMA, University of Minnesota, Minneapolis January 28, 2007 Michel Cuendet Swiss Institute of Bioinformatics, Lausanne, Switzerland Introduction to the Jarzynski
Fundamental work cost of quantum processes
1607.03104 1709.00506 Fundamental work cost of quantum processes Philippe Faist 1,2, Renato Renner 1 1 Institute for Theoretical Physics, ETH Zurich 2 Institute for Quantum Information and Matter, Caltech
arxiv: v2 [quant-ph] 22 Jan 2018
![arxiv: v2 [quant-ph] 22 Jan 2018](/thumbs/82/85810796.jpg "arxiv: v2 [quant-ph] 22 Jan 2018")
1 Information is not a thermodynamic resource 1 Robert Alicki, Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Poland arxiv:1801.05237v2 [quant-ph] 22 Jan 2018 The so-called information-thermodynamics
From fully quantum thermodynamical identities to a second law equality
From fully quantum thermodynamical identities to a second law equality Alvaro Alhambra, Lluis Masanes, Jonathan Oppenheim, Chris Perry Fluctuating States Phys. Rev. X 6, 041016 (2016) Fluctuating Work
12 The Laws of Thermodynamics
June 14, 1998 12 The Laws of Thermodynamics Using Thermal Energy to do Work Understanding the laws of thermodynamics allows us to use thermal energy in a practical way. The first law of thermodynamics
Kitaev honeycomb lattice model: from A to B and beyond
Kitaev honeycomb lattice model: from A to B and beyond Jiri Vala Department of Mathematical Physics National University of Ireland at Maynooth Postdoc: PhD students: Collaborators: Graham Kells Ahmet Bolukbasi
NPTEL
NPTEL Syllabus Nonequilibrium Statistical Mechanics - Video course COURSE OUTLINE Thermal fluctuations, Langevin dynamics, Brownian motion and diffusion, Fokker-Planck equations, linear response theory,
Quantum Noise as an Entanglement Meter
Quantum Noise as an Entanglement Meter Leonid Levitov MIT and KITP UCSB Landau memorial conference Chernogolovka, 06/22/2008 Part I: Quantum Noise as an Entanglement Meter with Israel Klich (2008); arxiv:
Quantum Entanglement and Measurement
Quantum Entanglement and Measurement Haye Hinrichsen in collaboration with Theresa Christ University of Würzburg, Germany 2nd Workhop on Quantum Information and Thermodynamics Korea Institute for Advanced
F R A N C E S C O B U S C E M I ( N A G OYA U N I V E R S I T Y ) C O L L O Q U I U D E P T. A P P L I E D M AT H E M AT I C S H A N YA N G U N I
QUANTUM UNCERTAINT Y F R A N C E S C O B U S C E M I ( N A G OYA U N I V E R S I T Y ) C O L L O Q U I U M @ D E P T. A P P L I E D M AT H E M AT I C S H A N YA N G U N I V E R S I T Y ( E R I C A ) 2
International Physics Course Entrance Examination Questions
International Physics Course Entrance Examination Questions (May 2010) Please answer the four questions from Problem 1 to Problem 4. You can use as many answer sheets you need. Your name, question numbers
Quantum measurement theory
1 Quantum measurement theory 1.1 Classical measurement theory 1.1.1 Basic concepts Although this chapter, and indeed this book, is concerned with quantum measurements, we begin with a discussion of some
Zero and negative energy dissipation at information-theoretic erasure
In press at J. Computational Electronics. http://vixra.org/abs/1507.0221 http://arxiv.org/abs/1507.08906 Zero and negative energy dissipation at information-theoretic erasure Laszlo Bela Kish, Claes-Göran
Examples. Fire Piston (demo) Example (Comparison of processes)
Examples Fire Piston (demo) Fire Piston istory http://en.wikipedia.org/wiki/fire_piston Example 19.68 (Comparison of processes) Fire piston calculations http://complex.gmu.edu/www-phys/phys262/soln/fire_piston.pdf
Reversible Processes. Furthermore, there must be no friction (i.e. mechanical energy loss) or turbulence i.e. it must be infinitely slow.
Reversible Processes A reversible thermodynamic process is one in which the universe (i.e. the system and its surroundings) can be returned to their initial conditions. Because heat only flows spontaneously
Entanglement: concept, measures and open problems
Entanglement: concept, measures and open problems Division of Mathematical Physics Lund University June 2013 Project in Quantum information. Supervisor: Peter Samuelsson Outline 1 Motivation for study
Response to Comment on Zero and negative energy dissipation at information-theoretic erasure
Response to Comment on Zero and negative energy dissipation at information-theoretic erasure Laszlo Bela Kish, Claes-Göran Granqvist, Sunil P. Khatri, Ferdinand Peper Abstract We prove that statistical
Thermodynamics: Entropy Conclusion
Thermodynamics: Entropy Conclusion From Warmup I would like to see an overview of all the chapters covered, and if possible some of the key concepts. I would appreciate a second opinion to make sure that
Entanglement, Fluctuations Quantum Quenches
Entanglement, Fluctuations Quantum Quenches Karyn Le Hur CNRS & CPHT Ecole Polytechnique Karyn Le Hur - Yale University May 2010 Non-Traditional Entanglement & (number particle/spin) Fluctuations Francis
The general reason for approach to thermal equilibrium of macroscopic quantu
The general reason for approach to thermal equilibrium of macroscopic quantum systems 10 May 2011 Joint work with S. Goldstein, J. L. Lebowitz, C. Mastrodonato, and N. Zanghì. Claim macroscopic quantum
Redundant Information and the Quantum-Classical Transition
University of California, Santa Barbara 22 August 2012 Redundant Information and the Quantum-Classical Transition C. Jess Riedel Acting advisor: Wojciech H. Zurek Theoretical Division Los Alamos National
Mathematical Structures of Statistical Mechanics: from equilibrium to nonequilibrium and beyond Hao Ge
Mathematical Structures of Statistical Mechanics: from equilibrium to nonequilibrium and beyond Hao Ge Beijing International Center for Mathematical Research and Biodynamic Optical Imaging Center Peking
Introduction 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...........................