Conditional Hybrid Nonclassicality

Year: 2017

Authors: Agudelo E., Sperling J., Costanzo L.S., Bellini M., Zavatta A., Vogel W.

Autors Affiliation: Univ Rostock, Inst Phys, AG Theoret Quantenopt, D-18051 Rostock, Germany; Univ Oxford, Clarendon Lab, Parks Rd, Oxford OX1 3PU, England; CNR, INO, Largo Enrico Fermi 6, I-50125 Florence, Italy; Univ Florence, LENS, I-50019 Florence, Italy; Univ Florence, Deparment Phys, I-50019 Florence, Italy.

Abstract: We derive and implement a general method to characterize the nonclassicality in compound discrete- and continuous-variable systems. For this purpose, we introduce the operational notion of conditional hybrid nonclassicality which relates to the ability to produce a nonclassical continuous-variable state by projecting onto a general superposition of discrete-variable subsystem. We discuss the importance of this form of quantumness in connection with interfaces for quantum communication. To verify the conditional hybrid nonclassicality, a matrix version of a nonclassicality quasiprobability is derived and its sampling approach is formulated. We experimentally generate an entangled, hybrid Schrödinger cat state, using a coherent photon-addition process acting on two temporal modes, and we directly sample its nonclassicality quasiprobability matrix. The introduced conditional quantum effects are certified with high statistical significance.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 119 (12)      Pages from: 120403-1  to: 120403-6

More Information: The authors gratefully acknowledge fruitful discussions with B. Kuhn. This work was supported by the Deutsche Forschungsgemeinschaft through SFB 652, Project No. B12. J.S. and W.V. acknowledge funding from the European Union
KeyWords: Quantum communication; Quantum electronics; Quantum theory, Continuous variable system; Continuous variables; Discrete variables; Nonclassicality; Photon additions; Quantum effects; Quasiprobability; Statistical significance, Quantum entanglement
DOI: 10.1103/PhysRevLett.119.120403

Citations: 23
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