Phase-Space Inequalities Beyond Negativities

Year: 2020

Authors: Bohmann M., Agudelo E.

Autors Affiliation: INO CNR, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy; Austrian Acad Sci, Inst Quantum Opt & Quantum Informat IQOQI Vienna, Boltzmanngasse 3, A-1090 Vienna, Austria

Abstract: We derive a family of inequalities involving different phase-space distributions of a quantum state which have to be fulfilled by any classical state. The violation of these inequalities is a clear signature of nonclassicality. Our approach combines the characterization of nonclassical effects via negativities in phase-space distributions with inequality conditions usually being formulated for moments of physical observables. Importantly, the obtained criteria certify nonclassicality even when the involved phase-space distributions are non-negative. Moreover, we show how these inequalities are related to correlation measurements. The strength of the derived conditions is demonstrated by different examples, including squeezed states, lossy single-photon states, and even coherent states.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 24 (13)      Pages from: 133601-1  to: 133601-6

KeyWords: QUANTUM-STATE; NONCLASSICAL STATES; SQUEEZED STATES; COHERENT; ENTANGLEMENT; INFORMATION; TOMOGRAPHY; STATISTICS; OPERATORS; OPTICS
DOI: 10.1103/PhysRevLett.124.133601

Citations: 16
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