References & Citations
Quantum Physics
Title: Inferring the arrow of time in quantum spatiotemporal correlations
(Submitted on 13 Nov 2023 (v1), last revised 25 Apr 2024 (this version, v3))
Abstract: We consider how to tell the time-ordering associated with measurement data from quantum experiments at two times and any number of qubits. We define an arrow of time inference problem. We consider conditions on the initial and final states that are symmetric or asymmetric under time reversal. We represent the spatiotemporal measurement data via the pseudo density matrix space-time state. There is a forward process which is CPTP and a reverse process which is obtained via a novel recovery map based on inverting unitary dilations. For asymmetric conditions, the protocol determines whether the data is consistent with the unitary dilation recovery map or the CPTP map. For symmetric conditions, the recovery map yields a valid CPTP map and the experiment may have taken place in either direction. We also discuss adapting the approach to the Leifer-Spekkens or Process matrix space-time states.
Submission history
From: Xiangjing Liu [view email][v1] Mon, 13 Nov 2023 05:29:45 GMT (467kb,D)
[v2] Fri, 22 Mar 2024 01:12:12 GMT (470kb,D)
[v3] Thu, 25 Apr 2024 12:42:40 GMT (470kb,D)
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