Temporal witnesses of non-classicality and conservation laws

Journal article

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.

Authors: Di Pietra, G; Marletto, C

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: IOP Publishing
• Journal: Journal of Physics A: Mathematical and Theoretical
• Volume: 56
• Issue: 26
• Pages: 265305-265305
• Publication date: 2023-05-31
• DOI: 10.1088/1751-8121/acda6b
• EISSN: 1751-8121
• ISSN: 1751-8113
• Language: English
• Keywords: Classical mechanics; Quantum discord; Entanglement witness; Biology; Political science; Quantum mechanics; Argument (complex analysis); Law; Physics; Quantum; Theoretical physics; Conservation law; Formalism (music); Quantum entanglement; Witness