Protective Measurements

Aharonov, Yakir; Vaidman, Lev

doi:10.1007/978-1-4615-1975-1_23

Cited by 4 publications

(2 citation statements)

References 14 publications

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“…A way to measure the twostate is suggested also in Ref. [21]. We have also discovered that in the intermediate regime between strong and weak measurements, there can exist an amusing mixing of probabilities and weak values.…”

Section: Discussionmentioning

confidence: 96%

Time-symmetric formulation of quantum mechanics

Reznik

Aharonov

1995

Phys. Rev. A

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We explore further the suggestion to describe a pre-and post-selected system by a two-state, which is determined by two conditions. Starting with a formal definition of a two-state Hilbert space and basic operations, we systematically recast the basics of quantum mechanics -dynamics, observables, and measurement theory -in terms of two-states as the elementary quantities. We find a simple and suggestive formulation, that "unifies" two comple- A consequence of the suggested formalism and measurement theory, is that the problem of non-locality and Lorentz non-covariance, of the usual prescription with a 'reduction', may be eliminated. We exemplify this point for the EPR experiment and for a system under successive observations.

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Section: Discussionmentioning

confidence: 96%

Time-symmetric formulation of quantum mechanics

Reznik

Aharonov

1995

Phys. Rev. A

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“…This relies on protective measurements of position with allow a measure of the wave function density |ψ(x)| 2 of the particle at x even if pilot-wave trajectory never crosses the interaction region centered on x. The concept of protective measurement is a beautiful idea which was introduced by Y. Aharonov and L. Vaidman [34]; [35] (see also [36] and [33]). The principle relies on the possibility to couple adiabatically the measuring device M with the subsystem S in such a way to induce no significant change in the |S(0) initial state while disturbing the meter state |M(0) in an observable fashion.…”

Section: Protective Measurementsmentioning

confidence: 99%