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Quantum Algorithms

Einstein-Podolsky-Rosen steering paradox "2=1" for N qubits

arXiv
Authors: Zhi-Jie Liu, Jie Zhou, Hui-Xian Meng, Xing-Yan Fan, Mi Xie, Fu-lin Zhang, Jing-Ling Chen

Year

2024

Paper ID

66132

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

Einstein-Podolsky-Rosen (EPR) paradox highlights the absence of a local realistic explanation for quantum mechanics, and shows the incompatibility of the local-hidden-state models with quantum theory. For N-qubit states, or more importantly, the N-qubit mixed states, we present the EPR steering paradox in the form of the contradictory equality "2=1". We show that the contradiction holds for any N-qubit state as long as both the pure state requirement and the measurement requirement are satisfied. This also indicates that the EPR steering paradox exists in more general cases. Finally, we give specific examples to demonstrate and analyze our arguments.

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  • Einstein-Podolsky-Rosen (EPR) paradox highlights the absence of a local realistic explanation for quantum mechanics, and shows the incompatibility of the local-hidden-state...

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