Relating local time evolutions with bipartite states: An exact map manifested by weak measurements

S. Marcovitch, B. Reznik

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We suggest a natural mapping between bipartite states and quantum evolutions of local states, which is a Jamiolkowski map. It is shown that spatial correlations of weak measurements in bi-partite systems precisely coincide with temporal correlations of local systems. This mapping has several practical and conceptual implications on the correspondence between Bell and Leggett-Garg inequalities, the statistical properties of evolutions in large systems, temporal decoherence and computational gain, in evaluation of spatial correlations of large systems. [Editor’s note: for a video of the talk given by Prof. Reznik at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-23.]

Original languageEnglish
Title of host publicationQuantum Theory
Subtitle of host publicationA Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy
Pages337-354
Number of pages18
ISBN (Electronic)9788847052178
DOIs
StatePublished - 1 Jan 2014

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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