Temporal witnesses of non-classicality and conservation laws

Abstract

A general entanglement-based witness of non-classicality has recently been proposed, which can be applied to testing quantum effects in gravity. This witness is based on generating entanglement between two quantum probes via a mediator. In this paper we provide a "temporal" variant of this witness, using a single quantum probe to assess the non-classicality of the mediator. Within the formalism of quantum theory, we show that if a system $M$ is capable of inducing a coherent dynamical evolution of a quantum system $Q$, in the presence of a conservation law, then $M$ must be non-classical. This argument supports witnesses of non-classicality relying on a single quantum probe, which can be applied to a number of open issues, notably in quantum gravity or quantum biology.

8 pages, 1 figure

References in corpus (4)

• A Spin Entanglement Witness for Quantum Gravity
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• Constructor Theory of Information
• Quantum Entanglement in Time

Cited by in corpus (3)

• Tunable non-Markovian dynamics in a collision model: an application to coherent transport
• Temporal witnesses of non-classicality in a macroscopic biological system
• Dynamics of nonclassicality in a generalized Tavis Cummings model with XY spin $(1/2,1)$ atomic interactions