Nonclassical states from the joint statistics of simultaneous measurements

Abstract

Nonclassicality cannot be a single-observable property since the statistics of any quantum observable is compatible with classical physics. We develop a general procedure to reveal nonclassical behavior from the joint measurement of multiple observables. This requires enlarged spaces and couplings with auxiliary degrees of freedom so it must be followed by an inversion procedure to infer system properties from the observed statistics. In particular this discloses nonclassical properties of standard examples of classical-like behavior, such as SU(2) and Glauber coherent states. Moreover, when combined with other criteria it would imply that every quantum state would be nonclassical.

6 pages, 4 figures

References in corpus (3)

• Nonclassicality of states and measurements by breaking classical bounds on statistics
• Entropic measures of joint uncertainty: effects of lack of majorization
• Independent nonclassical tests for states and measurements in the same experiment

Cited by in corpus (9)

• Nonclassicality of coherent states: Entanglement of joint statistics
• Nonclassical joint distributions and Bell measurements
• Classical and quantum complementarity
• Entanglement between total intensity and polarization for pairs of coherent states
• Inequalities for complementarity in observed statistics
• Detector self-tomography
• Single-measurement Bell analysis
• Quantum conditional probabilities
• Distance-based approach to quantum coherence and nonclassicality