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All states are nonclassical: entanglement of joint statistics

2016/06/05 by Alfredo Luis, Luis, Alfredo
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.1606.01478

openalex publication_date 2016/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Joint measurements of two observables reveal that every state is nonclassical, with the only trivial exception of the state with density matrix proportional to the identity. This naturally includes states considered universally as classical-like, such as SU(2) and Glauber coherent states. We show that this holds because we can always find a joint measurement whose statistics is not separable.

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