No-cloning of quantum steering

Abstract

Einstein-Podolsky-Rosen (EPR) steering allows two parties to verify their entanglement, even if one party's measurements are untrusted. This concept has not only provided new insights into the nature of non-local spatial correlations in quantum mechanics, but also serves as a resource for one-sided device-independent quantum information tasks. Here, we investigate how EPR steering behaves when one-half of a maximally-entangled pair of qudits (multidimensional quantum systems) is cloned by a universal cloning machine. We find that EPR steering, as verified by a criterion based on the mutual information between qudits, can only be found in one of the copy subsystems but not both. We prove that this is also true for the single-system analogue of EPR steering. We find that this restriction, which we term "no-cloning of quantum steering", elucidates the physical reason why steering can be used to secure sources and channels against cloning-based attacks when implementing quantum communication and quantum computation protocols.

6 pages, 1 figure, journal paper

References in corpus (3)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Optimal Cloning and Singlet Monogamy
• Temporal steering and security of quantum key distribution with mutually-unbiased bases against individual attacks

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• Detecting Tripartite Steering via Quantum Entanglement
• Phase-selective tripartite entanglement and asymmetric Einstein-Podolsky-Rosen steering in squeezed optomechanics
• Quantifying Quantum Steering with Limited Resources: A Semi-supervised Machine Learning Approach
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