How the relativistic motion affects Einstein-Podolsky-Rosen steering

Abstract

In this Letter, the dynamic behavior of Einstein-Podolsky-Rosen (EPR) steering and the redistribution of EPR steering under a relativistic framework are investigated. Specifically, we explore the scenario that particle A hold by Alice is in a flat space-time and another particle B by Bob entangled with A is in a non-inertial framework. The results show that EPR steering from Alice to Bob is dramatically destroyed by Unruh effect caused by the acceleration of Bob. Besides, EPR steering has an asymmetry property, and EPR steering asymmetry increases with the growing intensity of Unruh effect, implying that the Unruh effect can bring on EPR steering asymmetry. Furthermore, the reduced physical accessible EPR steering from Alice to Bob is distributed to the physical inaccessible EPR steering (from Alice to anti-Bob or from Bob to anti-Bob). Notably, unlike entanglement and quantum discord, only one of EPR steering from Alice to anti-Bob and Bob to anti-Bob experiences a sudden birth with the increase of acceleration parameter, which means that they cannot simultaneously survive. That is, the monogamy relation of EPR steering is still tenable in such a scenario. Consequently, we believe that EPR steering could also be served as one of important information resources within the long-distance quantum secure communication under the relativistic framework.

Accepted for publication in Laser Physics Letters.16 pages, 7 figures and 1 table

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Cited by in corpus (11)

• Fermionic steering and its monogamy relations in Schwarzschild spacetime
• The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements
• Improving the bidirectional steerability between two accelerated partners via filtering process
• Basis-independent quantum coherence and its distribution under relativistic motion
• Gaussian tripartite steering in Schwarzschild black hole
• A Study on Thermal Quantum Resources and Probabilistic Teleportation in Spin-1/2 Heisenberg XYZ+DM+KSEA Model under Variable Zeeman Splitting
• Dynamics and recovery of genuine multipartite Einstein-Podolsky-Rosen steering and genuine multipartite nonlocality for a dissipative Dirac system via Unruh effect
• Schwinger effect of Gaussian correlations in constant electric fields
• Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole
• Does conditional entropy squeezing indicate normalized entropic uncertainty relation steering?
• Chaos in quantum steering in high-dimensional systems