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One of the hallmarks of quantum theory is the realization that distinct measurements cannot in general be performed simultaneously, in stark contrast to classical physics. In this context the notions of coexistence and joint measurability…

量子物理 · 物理学 2013-11-26 David Reeb , Daniel Reitzner , Michael M. Wolf

Quantum measurements are noncontextual, with outcomes independent of which other commuting observables are measured at the same time, when consistently analyzed using principles of Hilbert space quantum mechanics rather than classical…

量子物理 · 物理学 2013-06-06 Robert B. Griffiths

Given an ontological model of a quantum system, a "genuine measurement," as opposed to a quantum measurement, means an experiment that determines the value of a beable, i.e., of a variable that, according to the model, has an actual value…

量子物理 · 物理学 2022-10-10 Roderich Tumulka

Within the framework of quantum memory channels we introduce the notion of repeatability of quantum channels. In particular, a quantum channel is called repeatable if there exist a memory device implementing the same channel on each…

量子物理 · 物理学 2008-12-10 Tomas Rybar , Mário Ziman

In Quantum Physics it is not always possible to directly perform the measurement of an obsevable; in some of these cases, however, its value can be {\sl detected}, i.e. it can be inferred by measuring {\sl another} observable characterized…

量子物理 · 物理学 2014-06-10 Giuseppe Nisticò , Angela Sestito

Measurement in quantum mechanics is generally described as an irreversible process that perturbs the wavefunction describing a quantum system. In this work we establish a formal connection between the measurement description within the…

量子物理 · 物理学 2016-05-17 Fabio L. Traversa , Guillermo Albareda

We study sequential measurement scenarios where the system is repeatedly subjected to the same measurement process. We first provide examples of such repeated measurements where further repetitions of the measurement do not increase our…

量子物理 · 物理学 2016-09-14 Erkka Haapasalo , Teiko Heinosaari , Yui Kuramochi

Quantum coherence is the key resource for quantum technology, with applications in quantum optics, information processing, metrology and cryptography. Yet, there is no universally efficient method for quantifying coherence either in…

量子物理 · 物理学 2014-10-24 Davide Girolami

We show that measurement can recover the quantum coherence of a qubit in a non-Markovian environment. The experimental demonstration in an optical system is provided by comparing the visibilities (and fidelities) of the final states with…

量子物理 · 物理学 2009-11-13 JinShi Xu , ChuanFeng Li , Ming Gong , XuBo Zou , Lei Chen , Geng Chen , JianShun Tang , GuangCan Guo

The fact that not all measurements can be carried out simultaneously is a peculiar feature of quantum mechanics and responsible for many key phenomena in the theory, such as complementarity or uncertainty relations. For the special case of…

量子物理 · 物理学 2014-10-22 Roope Uola , Tobias Moroder , Otfried Gühne

In general, a quantum measurement yields an undetermined answer and alters the system to be consistent with the measurement result. This process maps multiple initial states into a single state and thus cannot be reversed. This has…

In this work, we show that very natural, apparently simple problems in quantum measurement theory can be undecidable even if their classical analogues are decidable. Undecidability hence appears as a genuine quantum property here. Formally,…

量子物理 · 物理学 2012-07-20 J. Eisert , M. P. Mueller , C. Gogolin

We characterize the class of quantum measurements that matches the applications of quantum theory to cognition (and decision making) - quantum-like modeling. Projective measurements describe the canonical measurements of the basic…

人工智能 · 计算机科学 2025-12-15 Miho Fuyama , Andrei Khrennikov , Masanao Ozawa

In Quantum Physics there are circumstances where the direct measurement of particular observables encounters diffculties; in some of these cases, however, its value can be evaluated, i.e. it can be inferred by measuring another observable…

量子物理 · 物理学 2016-03-23 Giuseppe Nisticò , Angela Sestito

We propose a protocol to test whether the postulate of a measurement acting as an instantaneous projection onto an eigenstate of the measurement apparatus is compatible with physical reality. This approach is solely based on repeated…

量子物理 · 物理学 2025-06-26 Leonard Werner Pingen , Mattia Moroder , Sebastian Paeckel

In this work we attempt to confront the orthodox widespread claim present in the foundational literature of Quantum Mechanics (QM) according to which 'superpositions are never actually observed in the lab'. In order to do so, we begin by…

物理学史与哲学 · 物理学 2020-07-03 Christian de Ronde

The fact that there are quantum observables without a simultaneous measurement is one of the fundamental characteristics of quantum mechanics. In this work we expand the concept of joint measurability to all kinds of possible measurement…

量子物理 · 物理学 2014-02-19 Teiko Heinosaari , Takayuki Miyadera , Daniel Reitzner

J. v. Neumann justified the collapse postulate by the empirical fact of the repeatability of a measurement at a single quantum system. However, in his quantum mechanical treatment of the measurement process repeatability emerges without…

量子物理 · 物理学 2013-11-06 Michael Zirpel

Quantum mechanics, devoid of any additional assumption, does not give any theoretical constraint on the projection basis to be used for the measurement process. It is shown in this paper that it does neither allow any physical means for an…

综合物理 · 物理学 2018-01-17 Hitoshi Inamori

Fix a point in a finite-dimensional complex vector space and consider the sequence of iterates of this point under the composition of a unitary map with the orthogonal projection on the hyperplane orthogonal to the starting point. We prove…

量子物理 · 物理学 2021-08-10 Wojciech Słomczyński , Anna Szczepanek