Towards Relativistic and Quantum Technologies
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1 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 1/12 Towards Relativistic and Quantum Technologies David Edward Bruschi York Centre for Quantum Technologies Department of Physics University of York the (Brexiting) United (not for long) Kingdom March 27, 2017 based on many papers - ask for references
2 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 2/12 1 Relativistic Quantum Information Relativistic Quantum Information: tools 2 On Earth Earth-based RQI Detecting gravitational waves 3 In Space Quantum Communications Relativistic effects on QKD protocols 4 Conclusions
3 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 3/12 The Quantum Era Quantum Technologies in the Quantum Era...
4 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 3/12 The Quantum Era Quantum Technologies in the Quantum Era......well described and based on Quantum Mechanics...
5 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 3/12 The Quantum Era Quantum Technologies in the Quantum Era......well described and based on Quantum Mechanics...
6 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 3/12 The Quantum Era Quantum Technologies in the Quantum Era......well described and based on Quantum Mechanics...
7 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 4/12 The Quantum Era Quantum technologies in the quantum era but what about RELATIVITY?
8 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 5/12 Relativistic Quantum Information Relativistic Quantum Information: aims and motivations Aim Use relativistic effects to: - improve technologies - develop new ones. The Holy Grail... Motivations - Quantum systems are reaching regimes where relativistic effects play a role. - Relativity cannot be ignored when measuring relativistic parameters such as: gravitational potential in BEC drop towers. - Nature is both relativistic and quantum. Deepen our understanding of the overlap of Quantum Theory and Relativity.
9 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 5/12 Relativistic Quantum Information Relativistic Quantum Information: aims and motivations Aim Use relativistic effects to: - improve technologies - develop new ones. The Holy Grail... Motivations - Quantum systems are reaching regimes where relativistic effects play a role. - Relativity cannot be ignored when measuring relativistic parameters such as: gravitational potential in BEC drop towers. - Nature is both relativistic and quantum. Deepen our understanding of the overlap of Quantum Theory and Relativity.
10 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 5/12 Relativistic Quantum Information Relativistic Quantum Information: aims and motivations Aim Use relativistic effects to: - improve technologies - develop new ones. The Holy Grail... Motivations - Quantum systems are reaching regimes where relativistic effects play a role. - Relativity cannot be ignored when measuring relativistic parameters such as: gravitational potential in BEC drop towers. - Nature is both relativistic and quantum. Deepen our understanding of the overlap of Quantum Theory and Relativity.
11 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 6/12 Relativistic Quantum Information: tools Relativistic and Quantum Information: ingredients Relativistic ingredients - Special Relativity: high speeds. - General Relativity: curvature.
12 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 6/12 Relativistic Quantum Information: tools Relativistic and Quantum Information: ingredients Relativistic ingredients Quantum ingredients - Special Relativity: high speeds. - Heisenberg uncertainty. - General Relativity: curvature. - Entanglement.
13 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 6/12 Relativistic Quantum Information: tools Relativistic and Quantum Information: ingredients Relativistic ingredients Quantum ingredients - Special Relativity: high speeds. - Heisenberg uncertainty. - General Relativity: curvature. - Entanglement. Relativistic and quantum ingredients - Quantum Field Theory in flat or curved spacetime
14 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 6/12 Relativistic Quantum Information: tools Relativistic and Quantum Information: ingredients Relativistic ingredients Quantum ingredients - Special Relativity: high speeds. - Heisenberg uncertainty. - General Relativity: curvature. - Entanglement. Relativistic and quantum ingredients - Quantum Field Theory in flat or curved spacetime Specific areas to be considered - Quantum Information. - Quantum Metrology.
15 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 6/12 Relativistic Quantum Information: tools Relativistic and Quantum Information: ingredients Relativistic ingredients Quantum ingredients - Special Relativity: high speeds. - Heisenberg uncertainty. - General Relativity: curvature. - Entanglement. Relativistic and quantum ingredients - Quantum Field Theory in flat or curved spacetime Specific areas to be considered - Quantum Information. - Quantum Metrology. Systems of interest - Confined fields in cavities - Bose Einstein Condensates.
16 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 6/12 Relativistic Quantum Information: tools Relativistic and Quantum Information: ingredients Relativistic ingredients Quantum ingredients - Special Relativity: high speeds. - Heisenberg uncertainty. - General Relativity: curvature. - Entanglement. Relativistic and quantum ingredients - Quantum Field Theory in flat or curved spacetime Specific areas to be considered - Quantum Information. - Quantum Metrology. Systems of interest - Confined fields in cavities - Bose Einstein Condensates. Possible arenas of experimental investigation - Analogue Gravity. (NO Einstein equations in AG systems)
17 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. On Earth Earth-based RQI 7/12 Analogue gravity and tabletop experiments Relativistic quantum effects on Earth Possible to propose and perform experiments on Earth to verify the predictions in the field.
18 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. On Earth Earth-based RQI 7/12 Analogue gravity and tabletop experiments Relativistic quantum effects on Earth Possible to propose and perform experiments on Earth to verify the predictions in the field. Analogue gravity: BECs
19 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. On Earth Earth-based RQI 7/12 Analogue gravity and tabletop experiments Relativistic quantum effects on Earth Possible to propose and perform experiments on Earth to verify the predictions in the field. Analogue gravity: BECs Analogue gravity: Fibre optics
20 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. On Earth Earth-based RQI 7/12 Analogue gravity and tabletop experiments Relativistic quantum effects on Earth Possible to propose and perform experiments on Earth to verify the predictions in the field. Analogue gravity: BECs BEC Experiments Analogue gravity: Fibre optics Nature Physics 12, (2016)
21 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 8/12 On Earth Detecting gravitational waves Gravitational Waves Current experiments: LIGO Current experiments: AURIGA A figure Our results - Error Θ bound by 1/ N QFI QFI = k 4k ω2 k t2 (1 + sinh 4 r) - Gravitational and phonon frequencies are resonant. - Typical fundamental phonon frequency: ω kHz.
22 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 9/12 In Space Quantum Communications Entanglement distribution for Quantum Technologies Future tasks... - Distribute entanglement across globe. - Observe universe through gravitational ripples....and goals - Quantum Key Distribution. - Distributed Quantum Computing. - Quantum certification. - Quantum sensors. - GW detectors.... More?
![and use to measure distances or mass. Bob Protocol specifications - Use Ψ ± = 1 2 [ 01 ± 10 ] or Ψ = tanh n r n=0 n, n.](/docs-images/87/95375354/images/23-1.jpg "cosh r - Spectrum: F ω0 (ω), where ω 0 400nm (visible). - r Alice = 6371km and r Bob = 6771km (or GEO).")
23 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 10/12 In Space Quantum Communications Communication setup What Alice and Bob want to achieve - Detect relativistic effects and use to measure distances or mass. Bob Protocol specifications - Use Ψ ± = 1 2 [ 01 ± 10 ] or Ψ = tanh n r n=0 n, n. cosh r - Spectrum: F ω0 (ω), where ω 0 400nm (visible). - r Alice = 6371km and r Bob = 6771km (or GEO). - Spectrum: F Ω 0,A (Ω A ) F Ω0,B (Ω B ). - Figure of merit: Quantum Bit Error Rate (QBER) - Quant. Fisher Info. (QFI) and Cramér-Rao: Θ 1 N QFI Alice Results - Obtain: ρ AB (Θ) = p + (Θ)P + + p (Θ)P. - QBER increased up to 0.7%. Measurable - Bound on distances: r S r S L L 8σr 2 A 2 NΩ rs L sinh r
24 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 11/12 Conclusions Summary * We have seen applications of quantum and relativistic physics. * Relativity and quantum can appear in quantum technologies. * There are many feasible proposals being put forward. Outlook * Merging quantum and gravitational physics can provide novel technological applications. * Can teach us more about the physics at the overlap of relativity and quantum mechanics. * In the long run: discover novel physics. Relativistic and Quantum Information groups Nottingham and Vienna, Warsaw, Brisbane, Durban, Seoul, Vancouver...
25 York Centre for Quantum Technologies, United Kingdom - Towards Relativistic and Quantum Technologies. 12/12 Acknowledgments GRAZZI
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