The post-selection probability current and its implications

John E. Gray; Allen D. Parks

doi:10.1117/12.818097

27 April 2009 The post-selection probability current and its implications

John E. Gray, Allen D. Parks

Proceedings Volume 7342, Quantum Information and Computation VII; 73420G (2009) https://doi.org/10.1117/12.818097
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

Abstract

We introduce a notation for probability current and operator current in a normal quantum mechanics setting. We then extend these concepts to the concept of post-selection that was introduced by Schordinger and has found wide application by Aharonov and his colleagues. We introduce the concept of a post-selection operator current and then use it as an alternative means of examining concepts of weak values. The concept of weak energy introduced by Parks is derived in this setting. Also, the configuration space based on geometric phase and the Fubini-Study metric that was introduced by Parks defines an operator current as well. We provide a connection between this current and post-selection operator current.

Citation Download Citation

John E. Gray and Allen D. Parks "The post-selection probability current and its implications", Proc. SPIE 7342, Quantum Information and Computation VII, 73420G (27 April 2009); https://doi.org/10.1117/12.818097

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