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With approaching quantum/noncommutative models for the deep microscopic spacetime in mind, and inspired by our recent picture of the (projective) Hilbert space as the model of physical space behind basic quantum mechanics, we reformulate…

量子物理 · 物理学 2021-01-13 Chuan Sheng Chew , Otto C. W. Kong , Jason Payne

The relativity to the measuring device in quantum theory, i.e. the covariance of local dynamical variables relative transformations to moving quantum reference frame in Hilbert space, may be achieved only by the rejection of super-selection…

综合物理 · 物理学 2007-05-23 Peter Leifer

The measurement process for hidden-configuration formulations of quantum mechanics is analysed. It is shown how a satisfactory description of quantum measurement can be given in this framework. The unified treatment of hidden-configuration…

量子物理 · 物理学 2009-10-30 Giulio Peruzzi , Alberto Rimini

The notorious quantum measurement problem brings out the difficulty to reconcile two quantum postulates: the unitary evolution of closed quantum systems and the wave-function collapse after a measurement. This problematics is particularly…

量子物理 · 物理学 2022-08-24 George Moreno , Ranieri Nery , Cristhiano Duarte , Rafael Chaves

Quantum mechanics predicts correlation between spacelike separated events which is widely argued to violate the principle of Local Causality. By contrast, here we shall show that the Schr\"odinger equation with Born's statistical…

量子物理 · 物理学 2014-04-07 Agung Budiyono

Theory of quantum measurements is often classified as decision theory. An event in decision theory corresponds to the measurement of an observable. This analogy looks clear for operationally testable simple events. However, the situation is…

量子物理 · 物理学 2015-06-24 V. I. Yukalov , D. Sornette

We analyze in mathematical detail, within the framework of the QMUPL model of spontaneous wave function collapse, the von Neumann measurement scheme for the measurement of a 1/2 spin particle. We prove that, according to the equation of the…

量子物理 · 物理学 2009-11-13 A. Bassi , D. G. M. Salvetti

The probability operator is derived from first principles for an equilibrium quantum system. It is also shown that the superposition states collapse into a mixture of states giving the conventional von Neumann trace form for the quantum…

统计力学 · 物理学 2014-01-09 Phil Attard

Quantum measurement is a fundamental cornerstone of experimental quantum computations. The main issues in current quantum measurement strategies are the high number of measurement rounds to determine a global optimal measurement output and…

量子物理 · 物理学 2019-05-02 Laszlo Gyongyosi , Sandor Imre

This paper is a sequel to the series of papers [gr-qc/9409010, gr-qc/9505034, gr-qc/9603022, gr-qc/9609035, gr-qc/9609046, gr-qc/9704033, gr-qc/9704038, gr-qc/9708014, gr-qc/9802016, gr-qc/9802022]. We define a quantum measurement as a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Vladimir S. Mashkevich

An alternative approach to decoherence, named non-dynamical decoherence is developed and used to resolve the quantum measurement problem. According to decoherence, the observed system is open to a macroscopic apparatus(together with a…

量子物理 · 物理学 2015-04-08 Yu-Lei Feng , Yi-Xin Chen

Quantum theory depends on an external classical time, and there ought to exist an equivalent reformulation of the theory which does not depend on such a time. The demand for the existence of such a reformulation suggests that quantum theory…

量子物理 · 物理学 2012-10-31 Tejinder P. Singh

In this paper we discuss the relevance of the algebraic approach to quantum phenomena first introduced by von Neumann before he confessed to Birkoff that he no longer believed in Hilbert space. This approach is more general and allows us to…

量子物理 · 物理学 2014-08-26 Basil J. Hiley

The wide-spread opinion is that original quantum mechanics is a reversible theory, but this statement is only true for undecomposed systems, that are those systems which sub-systems are out of consideration. Taking sub-systems into account,…

量子物理 · 物理学 2022-11-24 Wolfgang Muschik

We present a variational algorithm for fault tolerant quantum computing to solve a system of linear equations which directly maximises the parameters of the target fidelity. This so-called measurement test algorithm can be applied to any…

量子物理 · 物理学 2026-04-30 Alain Giresse Tene , Thomas Konrad

Quantum mechanics introduces the concept of probability at the fundamental level, yielding the measurement problem. On the other hand, recent progress in cosmology has led to the "multiverse" picture, in which our observed universe is only…

高能物理 - 理论 · 物理学 2012-05-10 Yasunori Nomura

Ultimately, any explanation of quantum measurement must be extendable to relativistic quantum mechanics (RQM), since many precisely confirmed experimental results follow from quantum field theory (QFT), which is based on RQM. Certainly, the…

量子物理 · 物理学 2025-04-08 Ed Seidewitz

The study of measurements in quantum mechanics exposes many of the ways in which the quantum world is different. For example, one of the hallmarks of quantum mechanics is that observables may be incompatible, implying among other things…

量子物理 · 物理学 2025-10-15 Emery Doucet , Sebastian Deffner

Is is shown here that the "simple test of quantumness for a single system" of arXiv:0704.1962 (for a recent experimental realization see arXiv:0804.1646) has exactly the same relation to the discussion of to the problem of describing the…

量子物理 · 物理学 2009-11-13 Marek Zukowski

The field of interpretation of quantum mechanics emerged in an attempt to solve the measurement problem. This turned on the perception that Niels Bohr avoided addressing the measurement problem by taking an instrumentalist view of quantum…

物理学史与哲学 · 物理学 2023-08-03 Govind Krishnan.