Quantum Correlations from the Conditional Statistics of Incomplete Data

被引:16
作者
Sperling, J. [1 ,2 ]
Bartley, T. J. [2 ,3 ]
Donati, G. [2 ]
Barbieri, M. [2 ,4 ]
Jin, X. -M. [2 ,5 ,6 ]
Datta, A. [7 ]
Vogel, W. [1 ]
Walmsley, I. A. [2 ]
机构
[1] Univ Rostock, Inst Phys, Arbeitsgrp Theoret Quantenopt, D-18051 Rostock, Germany
[2] Univ Oxford, Clarendon Lab, Parks Rd, Oxford OX1 3PU, England
[3] Univ Paderborn, Warburger Str 100, D-33098 Paderborn, Germany
[4] Univ Rome Tre, Dipartimento Sci, Via Vasca Navale 84, I-00146 Rome, Italy
[5] Shanghai Jiao Tong Univ, Inst Nat Sci, State Key Lab Adv Opt Commun Syst & Networks, Shanghai 200240, Peoples R China
[6] Shanghai Jiao Tong Univ, Dept Phys & Astron, Shanghai 200240, Peoples R China
[7] Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England
基金
英国工程与自然科学研究理事会;
关键词
RESONANCE FLUORESCENCE; PHOTON STATISTICS; DETECTORS; STATES; RECONSTRUCTION; LIGHT;
D O I
10.1103/PhysRevLett.117.083601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study, in theory and experiment, the quantum properties of correlated light fields measured with click-counting detectors providing incomplete information on the photon statistics. We establish a correlation parameter for the conditional statistics, and we derive the corresponding nonclassicality criteria for detecting conditional quantum correlations. Classical bounds for Pearson's correlation parameter are formulated that allow us, once they are violated, to determine nonclassical correlations via the joint statistics. On the one hand, we demonstrate nonclassical correlations in terms of the joint click statistics of light produced by a parametric down-conversion source. On the other hand, we verify quantum correlations of a heralded, split single-photon state via the conditional click statistics together with a generalization to higher-order moments. We discuss the performance of the presented nonclassicality criteria to successfully discern joint and conditional quantum correlations. Remarkably, our results are obtained without making any assumptions on the response function, quantum efficiency, and dark-count rate of photodetectors.
引用
收藏
页数:6
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