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Weak values under uncertain conditions

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Weak values under uncertain conditions. / Romito, Alessandro; Gefen, Yuval.
In: Physica E: Low-dimensional Systems and Nanostructures, Vol. 42, No. 3, 01.01.2010, p. 343-347.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Romito, A & Gefen, Y 2010, 'Weak values under uncertain conditions', Physica E: Low-dimensional Systems and Nanostructures, vol. 42, no. 3, pp. 343-347. https://doi.org/10.1016/j.physe.2009.06.065

APA

Romito, A., & Gefen, Y. (2010). Weak values under uncertain conditions. Physica E: Low-dimensional Systems and Nanostructures, 42(3), 343-347. https://doi.org/10.1016/j.physe.2009.06.065

Vancouver

Romito A, Gefen Y. Weak values under uncertain conditions. Physica E: Low-dimensional Systems and Nanostructures. 2010 Jan 1;42(3):343-347. doi: 10.1016/j.physe.2009.06.065

Author

Romito, Alessandro ; Gefen, Yuval. / Weak values under uncertain conditions. In: Physica E: Low-dimensional Systems and Nanostructures. 2010 ; Vol. 42, No. 3. pp. 343-347.

Bibtex

@article{bf0ba01f426f4d67923cddc003b2dbda,
title = "Weak values under uncertain conditions",
abstract = "We analyze the average of weak values over statistical ensembles of pre- and post-selected states. The protocol of weak values, proposed by Aharonov et al. [Phys. Rev. Lett. 60 (1988) 1351], is the result of a weak measurement conditional on the outcome of a subsequent strong (projective) measurement. Weak values can be beyond the range of eigenvalues of the measured observable and, in general, can be complex numbers. We show that averaging over ensembles of pre- and post-selected states reduces the weak value within the range of eigenvalues of over(A, ^). We further show that the averaged result expressed in terms of pre- and post-selected density matrices, allows us to include the effect of decoherence.",
keywords = "Charge sensing, Quantum dots, Quantum measurement, Weak values",
author = "Alessandro Romito and Yuval Gefen",
year = "2010",
month = jan,
day = "1",
doi = "10.1016/j.physe.2009.06.065",
language = "English",
volume = "42",
pages = "343--347",
journal = "Physica E: Low-dimensional Systems and Nanostructures",
issn = "1386-9477",
publisher = "Elsevier",
number = "3",

}

RIS

TY - JOUR

T1 - Weak values under uncertain conditions

AU - Romito, Alessandro

AU - Gefen, Yuval

PY - 2010/1/1

Y1 - 2010/1/1

N2 - We analyze the average of weak values over statistical ensembles of pre- and post-selected states. The protocol of weak values, proposed by Aharonov et al. [Phys. Rev. Lett. 60 (1988) 1351], is the result of a weak measurement conditional on the outcome of a subsequent strong (projective) measurement. Weak values can be beyond the range of eigenvalues of the measured observable and, in general, can be complex numbers. We show that averaging over ensembles of pre- and post-selected states reduces the weak value within the range of eigenvalues of over(A, ^). We further show that the averaged result expressed in terms of pre- and post-selected density matrices, allows us to include the effect of decoherence.

AB - We analyze the average of weak values over statistical ensembles of pre- and post-selected states. The protocol of weak values, proposed by Aharonov et al. [Phys. Rev. Lett. 60 (1988) 1351], is the result of a weak measurement conditional on the outcome of a subsequent strong (projective) measurement. Weak values can be beyond the range of eigenvalues of the measured observable and, in general, can be complex numbers. We show that averaging over ensembles of pre- and post-selected states reduces the weak value within the range of eigenvalues of over(A, ^). We further show that the averaged result expressed in terms of pre- and post-selected density matrices, allows us to include the effect of decoherence.

KW - Charge sensing

KW - Quantum dots

KW - Quantum measurement

KW - Weak values

U2 - 10.1016/j.physe.2009.06.065

DO - 10.1016/j.physe.2009.06.065

M3 - Journal article

AN - SCOPUS:74149091915

VL - 42

SP - 343

EP - 347

JO - Physica E: Low-dimensional Systems and Nanostructures

JF - Physica E: Low-dimensional Systems and Nanostructures

SN - 1386-9477

IS - 3

ER -