Measurement and collapse within the two-state vector formalism

Yakir Aharonov, Eliahu Cohen, Eyal Gruss, Tomer Landsberger

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

The notion of collapse is discussed and refined within the two-state vector formalism (TSVF). We show how a definite result of a measurement can be fully determined when considering specific forward- and backward-evolving quantum states. Moreover, we show how macroscopic time reversibility is attained, at the level of a single branch of the wavefunction, when several conditions regarding the final state and dynamics are met, a property for which we coin the term “classical robustness under time-reversal”. These entail a renewed perspective on the measurement problem, the Born rule and the many-worlds interpretation.

Original languageEnglish
Pages (from-to)133-146
Number of pages14
JournalQuantum Studies: Mathematics and Foundations
Volume1
Issue number1-2
DOIs
StatePublished - 1 Sep 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014, Chapman University.

Funding

This work has been supported in part by the Israel Science Foundation Grant No. 1125/10 and by the ICORE Excellence Center “Circle of Light”. We would like to thank Avshalom C. Elitzur, Boaz Tamir, Lior Deutsch, and Omer Goldman for helpful discussions. We would also like to thank an anonymous referee for many helpful remarks.

FundersFunder number
Israel Science Foundation1125/10

    Keywords

    • Collapse
    • Decoherence
    • Measurement problem
    • TSVF
    • Time reversal

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