Arrow of Time for Continuous Quantum Measurement
Quantum Physics
2017-12-06 v1
Abstract
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 non-projective measurements, with forward or backward Janus measurement sequences that are time-reversed inverses of each other.
Cite
@article{arxiv.1610.03818,
title = {Arrow of Time for Continuous Quantum Measurement},
author = {Justin Dressel and Areeya Chantasri and Andrew N. Jordan and Alexander N. Korotkov},
journal= {arXiv preprint arXiv:1610.03818},
year = {2017}
}
Comments
7 pages, 4 figures, including supplement