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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

The traditional framework of quantum metrology commonly assumes unlimited access to resources, overlooking resource constraints in realistic scenarios. As such, the optimal strategies therein can be infeasible in practice. Here, we…

量子物理 · 物理学 2026-02-25 Longyun Chen , Yuxiang Yang

Every restriction on quantum operations defines a resource theory, determining how quantum states that cannot be prepared under the restriction may be manipulated and used to circumvent the restriction. A superselection rule is a…

量子物理 · 物理学 2009-11-13 Gilad Gour , Robert W. Spekkens

A central problem in quantum resource theory is to give operational meaning to quantum resources that can provide clear advantages in certain physical tasks compared to the convex set of resource-free states. We propose to extend this basic…

量子物理 · 物理学 2024-12-30 Sunho Kim , Chunhe Xiong , Junde Wu

Consider a statistical model with an epistemic restriction such that, unlike in classical mechanics, the allowed distribution of positions is fundamentally restricted by the form of an underlying momentum field. Assume an agent (observer)…

量子物理 · 物理学 2020-05-15 Agung Budiyono

Axiomatic approach to measurement theory is developed. All the possible statistical properties of apparatuses measuring an observable with nondegenerate spectrum allowed in standard quantum mechanics are characterized.

量子物理 · 物理学 2007-05-23 Masanao Ozawa

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states which are free (because they can be…

量子物理 · 物理学 2015-06-11 Michał Horodecki , Jonathan Oppenheim

In quantum theory, physically measurable quantities of a microscopic system are represented by self-adjoint operators. However, not all of the self-adjoint operators correspond to measurable quantities. The superselection rule is a…

量子物理 · 物理学 2011-12-30 Shogo Tanimura

An interpretation and re-formulation of modern physics which removes the presumption of the space-time continuum, and bases physical theory on a small number of rational and empirical principles. After briefly describing the philosophical…

综合物理 · 物理学 2014-05-13 Charles Francis

The Page-Wootters mechanism questioned the fundamental nature of time in quantum physics. The mechanism explored the notion that a given physical quantity is always defined and measured relative to a reference frame, in general, not…

量子物理 · 物理学 2019-05-01 Tiago Martinelli , Diogo O. Soares-Pinto

We describe a quantum mechanical measurement as a variational principle including interaction between the system under measurement and the measurement apparatus. Augmenting the action with a nonlocal term (a double integration over the…

量子物理 · 物理学 2021-04-07 Alan K. Harrison

If the block universe view is correct, the future and the past have similar status and one would expect physical theories to involve final as well as initial boundary conditions. A plausible consistency condition between the initial and…

量子物理 · 物理学 2007-05-23 D. J. Miller

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

Fluctuation theorems provide universal constraints on nonequilibrium energy and entropy fluctuations, making them a natural framework to assess how and to what extent quantum resources become thermodynamically relevant. We develop a unified…

量子物理 · 物理学 2025-12-19 Sukrut Mondkar , Sayan Mondal , Ujjwal Sen

A fundamental approach for the characterization and quantification of all kinds of resources is to study the conversion between different resource objects under certain constraints. Here we analyze, from a resource-non-specific standpoint,…

量子物理 · 物理学 2019-07-11 Zi-Wen Liu , Kaifeng Bu , Ryuji Takagi

We consider the hypothesis that quantum mechanics is an approximation to another, cosmological theory, accurate only for the description of subsystems of the universe. Quantum theory is then to be derived from the cosmological theory by…

量子物理 · 物理学 2007-05-23 Lee Smolin

The purpose of this paper is to formalize the concept that best synthesizes our intuitive understanding of quantum mechanics -- that the information carried by a system is limited -- and, from this principle, to construct the foundations of…

量子物理 · 物理学 2025-07-04 Paolo Ferro

Noether's theorem is a fundamental result in physics stating that every symmetry of the dynamics implies a conservation law. It is, however, deficient in several respects: (i) it is not applicable to dynamics wherein the system interacts…

量子物理 · 物理学 2014-05-16 Iman Marvian , Robert W. Spekkens

Observations in Quantum Mechanics are subject to complex restrictions arising from the principle of energy conservation. Determining such restrictions, however, has been so far an elusive task, and only partial results are known. In this…

量子物理 · 物理学 2015-06-12 Miguel Navascues , Sandu Popescu

The outcomes of a series of measurements, made on a quantum system, form a sequence of random events which occur in a particular order. The system, together with a meter or meters, can be seen as following the paths of a stochastic network…

量子物理 · 物理学 2016-08-01 D. Sokolovski