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QI: Fachverband Quanteninformation

QI 13: Quantum Information and Foundations II

QI 13.3: Talk

Friday, September 24, 2021, 11:15–11:30, H4

Quantum correlations in time — •Tian Zhang¹, Oscar Dahlsten^{1, 2}, and Vlatko Vedral^{1, 3, 4} — ¹Clarendon Laboratory, University of Oxford, Oxford OX13PU, UK — ²Institute for Quantum Science and Engineering, Department of Physics, Southern University of Science and Technology (SUSTech), Shenzhen 518055, China — ³Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 — ⁴Department of Physics, National University of Singapore, Singapore 117542

We investigate quantum correlations in time in different approaches. We assume that temporal correlations should be treated in an even-handed manner with spatial correlations. We compare the pseudo-density matrix formalism with several other approaches: indefinite causal structures, consistent histories, generalised quantum games, out-of-time-order correlations(OTOCs), and path integrals. We establish close relationships among these space-time approaches in non-relativistic quantum theory, resulting in a unified picture. With the exception of amplitude-weighted correlations in the path integral formalism, in a given experiment, temporal correlations in the different approaches are operationally equivalent.