Quantumness Witnesses

Abstract

A recently proposed test of quantumness [R. Alicki and N. Van Ryn, J. Phys. A: Math. Theor. 41 062001 (2008)] is put into a broader mathematical and physical perspective. The notion of quantumness witness is introduced, in analogy to entanglement witness, and illustrated by examples of a single qubit and many-body systems with additive observables. We compare also our proposal with the quantumness test based on quantum correlations (entanglement) and Bell inequalities. A class of quantumness witnesses associated to the phase space representation is also discussed.

11 pages, 4 figures

References in corpus (9)

• Quantum entanglement
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Bell Inequalities and the Separability Criterion
• Microwave-induced thermal escape in Josephson junctions
• Rabi-type oscillations in a classical Josephson junction
• A simple test of quantumness for a single system
• Experimental test of nonclassicality for a single particle
• Coherently controlled entanglement generation in a binary Bose-Einstein condensate
• Quantumness of Josephson junctions reexamined

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• Quantumness tests and witnesses in the tomographic-probability representation
• Measuring quantumness via anticommutators
• Quantum Dissonance Is Rejected in an Overlap Measurement Scheme
• Measuring quantumness: from theory to observability in interferometric setups
• Classical to quantum in large number limit
• Unexpected reemergence of von Neumann theorem
• Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system
• Probability representation and quantumness tests for qudits and two-mode light states
• On von Neumann and Bell theorems applied to quantumness tests
• Witness based nonlinear detection of quantum entanglement
• Connecting Commutativity and Classicality for Multi-Time Quantum Processes
• Dynamics of nonclassicality in a generalized Tavis Cummings model with XY spin $(1/2,1)$ atomic interactions
• Evaluating Quantumness, Efficiency and Cost of Quantum Random Number Generators via Photon Statistics