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

S. Marcovitch; B. Reznik

doi:10.1007/978-88-470-5217-8_22

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

S. Marcovitch, B. Reznik^*

^*Corresponding author for this work

School of Physics and Astronomy

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

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 language	English
Title of host publication	Quantum Theory
Subtitle of host publication	A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy
Publisher	Springer-Verlag Milan
Pages	337-354
Number of pages	18
ISBN (Electronic)	9788847052178
ISBN (Print)	9788847052161
DOIs	https://doi.org/10.1007/978-88-470-5217-8_22
State	Published - 1 Jan 2014

Access to Document

10.1007/978-88-470-5217-8_22

Cite this

@inbook{7c303fb5ab7946c093c9ee1e2b48efcd,

title = "Relating local time evolutions with bipartite states: An exact map manifested by weak measurements",

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{\textquoteright}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.]",

author = "S. Marcovitch and B. Reznik",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Italia 2014.",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/978-88-470-5217-8\_22",

language = "אנגלית",

isbn = "9788847052161",

pages = "337--354",

booktitle = "Quantum Theory",

publisher = "Springer-Verlag Milan",

}

Relating local time evolutions with bipartite states: An exact map manifested by weak measurements. / Marcovitch, S.; Reznik, B.
Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy. Springer-Verlag Milan, 2014. p. 337-354.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Relating local time evolutions with bipartite states

T2 - An exact map manifested by weak measurements

AU - Marcovitch, S.

AU - Reznik, B.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.]

AB - 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.]

UR - https://www.scopus.com/pages/publications/84949454665

U2 - 10.1007/978-88-470-5217-8_22

DO - 10.1007/978-88-470-5217-8_22

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???

AN - SCOPUS:84949454665

SN - 9788847052161

SP - 337

EP - 354

BT - Quantum Theory

PB - Springer-Verlag Milan

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this