Generalized Einstein-Podolsky-Rosen Steering Paradox

• URL: http://arxiv.org/abs/2405.03100v2
• Date: Wed, 5 Jun 2024 12:57:36 GMT
• Title: Generalized Einstein-Podolsky-Rosen Steering Paradox
• Authors: Zhi-Jie Liu, Xing-Yan Fan, Jie Zhou, Mi Xie, Jing-Ling Chen,
• Abstract summary: We present a generalized EPR steering paradox, which predicts a contradictory equality $2_Q=left( 1+deltaright)_C$. We test the paradox through a two-setting steering protocol, and find that the state is steerable if some specific measurement requirements are satisfied. Our construction also enlightens the building of EPR steering inequality, which may contribute to some schemes for typical quantum teleportation and quantum key distributions.
• Score: 18.5699135339787
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum paradoxes are essential means to reveal the incompatibility between quantum and classical theories, among which the Einstein-Podolsky-Rosen (EPR) steering paradox offers a sharper criterion for the contradiction between local-hidden-state model and quantum mechanics than the usual inequality-based method. In this work, we present a generalized EPR steering paradox, which predicts a contradictory equality $2_{Q}=\left( 1+\delta\right)_{C}$ ($0\leq\delta<1$) given by the quantum ($Q$) and classical ($C$) theories. For any $N$-qubit state in which the conditional state of the steered party is pure, we test the paradox through a two-setting steering protocol, and find that the state is steerable if some specific measurement requirements are satisfied. Moreover, our construction also enlightens the building of EPR steering inequality, which may contribute to some schemes for typical quantum teleportation and quantum key distributions.

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