The arrow of time for continuous quantum measurements

          @misc{ pirsa_PIRSA:16060037,
            doi = {10.48660/16060037},
            url = {https://pirsa.org/16060037},
            author = {Jordan, Andrew},
            keywords = {Quantum Foundations},
            language = {en},
            title = {The arrow of time for continuous quantum measurements},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {jun},
            note = {PIRSA:16060037 see, \url{https://pirsa.org}}
          }
          

Abstract

The question of the time reversibility of quantum mechanics with measurements is one that has been debated for some time. In this talk, I will present new work exploring our ability to distinguish the forward from the time-reverse measurement records of continuous quantum measurements. The question involves both the conditions for the time-reversibility of the quantum trajectory equations of motion, as well as statistical distinguishability of the arrow of time. I will present the case with and without postselection on the final state, and connect the issue to a similar topic in nonequilibrium statistical physics. This work generalizes and pushes the two-time reformulation of quantum mechanics developed by Yakir Aharonov and collaborators beyond arbitrarily weak measurements. I will also discuss how this proposal can be implemented with continuously monitored superconducting quantum circuits. In collaboration with Alexander Korotkov, Justin Dressel, Areeya Chantasri, and Kater Murch Funded by the John Templeton Foundation.