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使用伪密度算符的时间量子隐形传态:动力学如何从时间纠缠中产生。

Temporal teleportation with pseudo-density operators: How dynamics emerges from temporal entanglement.

作者信息

Marletto Chiara, Vedral Vlatko, Virzì Salvatore, Avella Alessio, Piacentini Fabrizio, Gramegna Marco, Degiovanni Ivo Pietro, Genovese Marco

机构信息

Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, UK.

Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543.

出版信息

Sci Adv. 2021 Sep 17;7(38):eabe4742. doi: 10.1126/sciadv.abe4742. Epub 2021 Sep 15.

DOI:10.1126/sciadv.abe4742
PMID:34524847
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8443168/
Abstract

We show that, by using temporal quantum correlations as expressed by pseudo-density operators (PDOs), it is possible to recover formally the standard quantum dynamical evolution as a sequence of teleportations in time. We demonstrate that any completely positive evolution can be formally reconstructed by teleportation with different temporally correlated states. This provides a different interpretation of maximally correlated PDOs, as resources to induce quantum time evolution. Furthermore, we note that the possibility of this protocol stems from the strict formal correspondence between spatial and temporal entanglement in quantum theory. We proceed to demonstrate experimentally this correspondence, by showing a multipartite violation of generalized temporal and spatial Bell inequalities and verifying agreement with theoretical predictions to a high degree of accuracy, in high-quality photon qubits.

摘要

我们表明,通过使用由伪密度算符(PDO)表示的时间量子关联,可以在形式上将标准量子动力学演化恢复为一系列时间上的隐形传态。我们证明,任何完全正定演化都可以通过与不同时间相关态的隐形传态在形式上进行重构。这为最大相关PDO提供了一种不同的解释,即作为诱导量子时间演化的资源。此外,我们注意到该协议的可能性源于量子理论中空间和时间纠缠之间严格的形式对应。我们通过展示广义时间和空间贝尔不等式的多体违背,并在高质量光子量子比特中高度精确地验证与理论预测的一致性,来实验证明这种对应。

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引用本文的文献

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本文引用的文献

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Non-Monogamy of Spatio-Temporal Correlations and the Black Hole Information Loss Paradox.时空相关性的非一夫一妻制与黑洞信息丢失悖论
Entropy (Basel). 2020 Feb 18;22(2):228. doi: 10.3390/e22020228.
2
Causal Limit on Quantum Communication.量子通信的因果极限。
Phys Rev Lett. 2019 Oct 11;123(15):150502. doi: 10.1103/PhysRevLett.123.150502.
3
Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators.通过伪密度算符对近类时曲线量子纠缠的理论描述和实验模拟。
Nat Commun. 2019 Jan 14;10(1):182. doi: 10.1038/s41467-018-08100-1.
4
Can a quantum state over time resemble a quantum state at a single time?随时间变化的量子态能类似于某一时刻的量子态吗?
Proc Math Phys Eng Sci. 2017 Sep;473(2205):20170395. doi: 10.1098/rspa.2017.0395. Epub 2017 Sep 20.
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Quantum correlations which imply causation.暗示因果关系的量子关联。
Sci Rep. 2015 Dec 17;5:18281. doi: 10.1038/srep18281.
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Experimental violation of the Leggett-Garg inequality under decoherence.在退相干下对 Leggett-Garg 不等式的实验违反。
Sci Rep. 2011;1:101. doi: 10.1038/srep00101. Epub 2011 Sep 26.
7
Violation of the Leggett-Garg inequality with weak measurements of photons.违反 Leggett-Garg 不等式的光子弱测量。
Proc Natl Acad Sci U S A. 2011 Jan 25;108(4):1256-61. doi: 10.1073/pnas.1005774108. Epub 2011 Jan 10.
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Quantum mechanics versus macroscopic realism: Is the flux there when nobody looks?量子力学与宏观实在论:没人观察时通量还存在吗?
Phys Rev Lett. 1985 Mar 4;54(9):857-860. doi: 10.1103/PhysRevLett.54.857.