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We address continuous weak linear quantum measurement and argue that it is best understood in terms of statistics of the outcomes of the linear detectors measuring a quantum system, for example, a qubit. We mostly concentrate on a setup…

介观与纳米尺度物理 · 物理学 2008-07-14 Hongduo Wei , Yuli V. Nazarov

We discuss the abstract structure of sequential weak measurement (WM) of general observables. In all orders, the sequential WM correlations without post-selection yield the corresponding correlations of the Wigner function, offering direct…

量子物理 · 物理学 2016-07-13 Lajo Diósi

Projective measurement is a commonly used assumption in quantum mechanics. However, advances in quantum measurement techniques allow for partial measurements, which accurately estimate state information while keeping the wavefunction…

量子物理 · 物理学 2021-08-24 Jonathan Monroe

We discuss and experimentally demonstrate the role of quantum coherence in a sequence of two measurements collected at different times using weak measurements. For this purpose, we have realized a weak-sequential measurement protocol with…

Weak values of quantum observables are a powerful tool for investigating quantum phenomena. Some methods for measuring weak values in the laboratory require weak interactions and postselection, while others are deterministic, but require…

量子物理 · 物理学 2024-10-18 Giulio Chiribella , Kyrylo Simonov , Xuanqiang Zhao

The collapse of a quantum state can be understood as a mathematical way to construct a joint probability density even for operators that do not commute. We can formalize that construction as a non-commutative, non-associative collapse…

量子物理 · 物理学 2022-06-13 Peter Morgan

The fact that not all quantum observables are jointly measurable is one of the major differences between quantum and classical theory. In the former, non-commuting observables can only be simultaneously measured with limited precision. We…

量子物理 · 物理学 2016-10-17 Gilles Pütz , Tomer Barnea , Nicolas Gisin , Anthony Martin

A weak measurement performed on a pre- and post-selected quantum system can result in an average value that lies outside of the observable's spectrum. This effect, usually referred to as an "anomalous weak value", is generally believed to…

量子物理 · 物理学 2019-10-16 Alastair A. Abbott , Ralph Silva , Julian Wechs , Nicolas Brunner , Cyril Branciard

A weak measurement on a system is made by coupling a pointer weakly to the system and then measuring the position of the pointer. If the initial wavefunction for the pointer is real, the mean displacement of the pointer is proportional to…

量子物理 · 物理学 2009-11-13 Graeme Mitchison

Due to the reduced probability of successful post-selection, the weak-value amplification seems to be unavailable for the parameter-estimation. Here, we show theoretically that, some effects due to the weak interactions present only in the…

量子物理 · 物理学 2015-01-23 Miao Zhang

Non-statistical weak measurements yield weak values that are outside the range of eigenvalues and are not rare, suggesting that weak values are a property of every pre-and-post-selected ensemble. They also extend the applicability and valid…

量子物理 · 物理学 2009-11-13 Jeff Tollaksen , Yakir Aharonov

The description of complex systems requires a progressively larger number of parameters. However, in practice, it often happens that a small subset of parameters suffices to describe the dynamics of the system itself: these combinations are…

The notion of weak measurement provides a formalism for extracting information from a quantum system in the limit of vanishing disturbance to its state. Here we extend this formalism to the measurement of sequences of observables. When…

量子物理 · 物理学 2009-11-13 Graeme Mitchison , Richard Jozsa , Sandu Popescu

We discuss two questions related to the concept of weak values as seen from the standard quantum-mechanics point of view. In the first part of the paper, we describe a scenario where unphysical results similar to those encountered in the…

量子物理 · 物理学 2009-07-29 S. Ashhab , Franco Nori

The problem of quantum state reduction in the process of measurement has attracted attention of almost everyone who created, developed or explained quantum physics to the students. Absence of a solution is the basis for the statement that…

量子物理 · 物理学 2017-09-11 Constantin V. Usenko

Joint measurements of qubit observables have recently been studied in conjunction with quantum information processing tasks such as cloning. Considerations of such joint measurements have until now been restricted to a certain class of…

量子物理 · 物理学 2008-06-10 Paul Busch , Teiko Heinosaari

Conventional quantum mechanics describes a pre- and post-selected system in terms of virtual (Feynman) paths via which the final state can be reached. In the absence of probabilities, a weak measurement (WM) determines the probability…

量子物理 · 物理学 2016-04-20 D. Sokolovski

Quantum Computing has been presenting major developments in the last few years, unveiling systems with a increasing number of qubits. However, unreliable quantum processes in universal quantum computers still represent one of the the…

量子物理 · 物理学 2023-10-27 Pedro Ripper , Gustavo Amaral , Guilherme Temporão

A sequential measurement of two non-commuting quantum observables results in a joint probability distribution for all output combinations that can be explained in terms of an initial joint quasi-probability of the non-commuting observables,…

量子物理 · 物理学 2016-10-27 Yutaro Suzuki , Masataka Iinuma , Holger F. Hofmann

We consider the problem of reproducing one quantum measurement given the ability to perform another. We give a general framework and specific protocols for this problem. For example, we show how to use available "imperfect" devices a small…

量子物理 · 物理学 2023-09-21 Noah Linden , Paul Skrzypczyk