Multicopy observables for the detection of optically nonclassical states

Abstract

Distinguishing quantum states that admit a classical counterpart from those that exhibit nonclassicality has long been a central issue in quantum optics. Finding an implementable criterion certifying optical nonclassicality (i.e, the incompatibility with a statistical mixture of coherent states) is of major importance as it often is a prerequisite to quantum information processes. A hierarchy of conditions for detecting whether a quantum state exhibits optical nonclassicality can be written based on some matrices of moments of the optical field [Phys. Rev. A 72, 043808 (2005)]. Here, we design optical nonclassicality observables that act on several replicas of a quantum state and whose expectation value coincides with the determinant of these matrices, hence providing witnesses of optical nonclassicality that overcome the need for state tomography. These multicopy observables are used to construct a family of physically implementable schemes involving linear optical operations and photon number detectors.

Published version with minor corrections and improvements. 17 pages, 8 figures and 4 tables

References in corpus (5)

• Photonic quantum technologies
• Non-Gaussian Quantum States and Where to Find Them
• Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
• Uncovering Quantum Correlations with Time-Multiplexed Click Detection
• Nonclassicality of states and measurements by breaking classical bounds on statistics

Cited by in corpus (1)

• Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state