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Recent controversy regarding the meaning and usefulness of weak values is reviewed. It is argued that in spite of recent statistical arguments by Ferrie and Combes, experiments with anomalous weak values provide useful amplification techniques for precision measurements of small effects in many realistic situations.
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On Weak Values and Feynman's Blind Alley
Feynman famously recommended accepting the basic principles of quantum mechanics without trying to guess the machinery behind the law. One of the corollaries of the Uncertainty Principle is that the knowledge of probability amplitudes does not allow one
Dmitri Sokolovski
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Quantum averages of weak values [PDF]
We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show that the weak value can be regarded as a \emph{definite} mechanical effect on a measuring probe specifically designed to minimize the back-reaction on the ...
Aharonov, Yakir, Botero, Alonso
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The Reconstruction Problem and Weak Quantum Values [PDF]
Quantum Mechanical weak values are an interference effect measured by the cross-Wigner transform W({\phi},{\psi}) of the post-and preselected states, leading to a complex quasi-distribution {\rho}_{{\phi},{\psi}}(x,p) on phase space.
Binz E +9 more
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Measuring measurement--disturbance relationships with weak values [PDF]
Using formal definitions for measurement precision {\epsilon} and disturbance (measurement backaction) {\eta}, Ozawa [Phys. Rev. A 67, 042105 (2003)] has shown that Heisenberg's claimed relation between these quantities is false in general.
A P Lund +8 more
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Weak values in continuous weak measurements of qubits
For continuous weak measurement of qubits, we obtain exact expressions for weak values (WVs) from the post-selection restricted average of measurement outputs, by using both the quantumtrajectory- equation (QTE) and quantum Bayesian approach. The former is applicable to short-time weak measurement, while the latter can relax the measurement strength to
Qin, Lupei, Liang, Pengfei, Li, Xin-Qi
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Understanding weak values without new probability theory [PDF]
The physical meaning of weak values and measurements can be completely understood with Born rule and the general probability theory. It is known that the weak value of an observable $\hat A$ with post-selection $\langle F|$ may be out of the eigenvalue ...
Mochizuki, Riuji
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What Is a Quantum-Mechanical “Weak Value” the Value of? [PDF]
A so called 'weak value' of an observable in quantum mechanics (QM) may be obtained in a weak measurement + post-selection procedure on the QM system under study. Applied to number operators, it has been invoked in revisiting some QM paradoxes (e.g., the so called Three Box paradox and Hardy s paradox). This requires the weak value to be interpreted as
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Weak values and the past of a quantum particle
We investigate four key issues with using a nonzero weak value of the spatial projection operator to infer the past path of an individual quantum particle.
Jonte R. Hance +2 more
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Some Notes on Counterfactuals in Quantum Mechanics
Counterfactuals, i.e., events that could have occurred but eventually did not, play a unique role in quantum mechanics in that they exert causal effects despite their non-occurrence.
Avshalom C. Elitzur, Eliahu Cohen
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