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Arrow of Time for Continuous Quantum Measurement

Physical Review Letters, ISSN: 1079-7114, Vol: 119, Issue: 22, Page: 220507
2017
  • 30
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  • 148
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Article Description

We investigate the statistical arrow of time for a quantum system being monitored by a sequence of measurements. For a continuous qubit measurement example, we demonstrate that time-reversed evolution is always physically possible, provided that the measurement record is also negated. Despite this restoration of dynamical reversibility, a statistical arrow of time emerges, and may be quantified by the log-likelihood difference between forward and backward propagation hypotheses. We then show that such reversibility is a universal feature of nonprojective measurements, with forward or backward Janus measurement sequences that are time-reversed inverses of each other.

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