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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 incompatibility is one of the basic aspects of quantum theory. Here we study the structure of the set of compatible -- i.e. jointly measurable -- measurements. We are interested in whether or not there exist compatible…

量子物理 · 物理学 2020-07-01 Paul Skrzypczyk , Matty J. Hoban , Ana Belén Sainz , Noah Linden

We consider a physical system in which the description of states and measurements follow the usual quantum mechanical rules. We also assume that the dynamics is linear, but may not be fully quantum (i.e unitary). We show that in such a…

量子物理 · 物理学 2009-10-31 Aditi Sen De , Ujjwal Sen

A simple model of quantum particle is proposed in which the particle in a {\it macroscopic} rest frame is represented by a {\it microscopic d}-dimensional oscillator, {\it s=(d-1)/2} being the spin of the particle. The state vectors are…

量子物理 · 物理学 2007-05-23 Blagowest Nikolov

The concept of intrinsic and operational observables in quantum mechanics is introduced. In any realistic description of a quantum measurement that includes a macroscopic detecting device, it is possible to construct from the statistics of…

量子物理 · 物理学 2016-09-08 B. G. Englert , K. Wodkiewicz

This paper presents the measurement problem from the point of view of the thermal interpretation of quantum physics introduced in Part II. The measurement of a Hermitian quantity $A$ is regarded as giving an uncertain value approximating…

量子物理 · 物理学 2019-04-25 Arnold Neumaier

For an arbitrary preparation, quantum mechanical descriptions refer to the complementary contexts set by incompatible measurements. We argue that an arbitrary preparation, therefore, should be described with respect to such a context by its…

量子物理 · 物理学 2009-11-10 Mohammad Mehrafarin

This paper considers the relevance of the concepts of observability and computability in physical theory. Observability is related to verifiability which is essential for effective computing and as physical systems are computational systems…

综合物理 · 物理学 2012-06-28 Subhash Kak

We argue that it is fundamentally impossible to recover information about quantum superpositions when a system has interacted with a sufficiently large number of degrees of freedom of the environment. This is due to the fact that gravity…

量子物理 · 物理学 2010-01-07 Rodolfo Gambini , Luis Pedro Garcia Pintos , Jorge Pullin

To elucidate ideal measurements, one must explain how individual events emerge from quantum theory which deals with statistical ensembles, and how different may end up with different final states. This so-called "measurement problem" is…

量子物理 · 物理学 2017-10-04 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen

In previous articles we presented a derivation of Born's rule and unitary transforms in Quantum Mechanics (QM), from a simple set of axioms built upon a physical phenomenology of quantization. Physically, the structure of QM results of an…

量子物理 · 物理学 2022-01-04 Alexia Auffèves , Philippe Grangier

Some of the problems connected with the interpretation of quantum mechanics are enumerated, in particular those related to some well known paradoxes and, above all, to the measurement process. We then show how the so called "Physics…

量子物理 · 物理学 2026-01-05 Luigi E. Picasso

Observations or measurements taken of a quantum system (a small number of fundamental particles) are inherently random. If the state of the system depends on unknown parameters, then the distribution of the outcome depends on these…

统计理论 · 数学 2007-06-13 Richard D. Gill

It is by now well-recognised that the na\"ive application of the projection postulate on composite quantum systems can induce signalling between their constituent components, indicative of a breakdown of causality in a relativistic…

量子物理 · 物理学 2021-10-18 Leron Borsten , Ian Jubb , Graham Kells

We propose a system of equations to describe the interaction of a quasiclassical variable $X$ with a set of quantum variables $x$ that goes beyond the usual mean field approximation. The idea is to regard the quantum system as continuously…

量子物理 · 物理学 2009-10-30 L. Diosi , J. J. Halliwell

We critically evaluate the treatment of the notion of measurement in the Consistent Histories approach to quantum mechanics. We find such a treatment unsatisfactory because it relies, often implicitly, on elements external to those provided…

量子物理 · 物理学 2016-06-07 Elias Okon , Daniel Sudarsky

The apparent random outcome of a quantum measurement is conjectured to be fundamentally determined by the microscopic state of the macroscopic measurement apparatus. The apparatus state thus plays the role of a hidden variable which, in…

量子物理 · 物理学 2017-03-22 Jean-Marc Sparenberg , Réda Nour , Aylin Manço

It is commonly believed that the most general type of a quantum-mechanical measurement is one described by a positive-operator valued measure (POVM). In the present paper, this statement is proven for any measurements on quantum systems…

量子物理 · 物理学 2014-02-13 A. V. Nenashev

The paper gives a systematic review of the basic ideas of (non-relativistic) quantum mechanics including all changes that result from previous work of the authors. This shows that the new theory is self-consistent and (in certain sense)…

量子物理 · 物理学 2011-02-24 Petr Hajicek , Jiri Tolar

The existence of incompatibility is one of the most fundamental features of quantum theory, and can be found at the core of many of the theory's distinguishing features, such as Bell inequality violations and the no-broadcasting theorem. A…

量子物理 · 物理学 2018-06-27 Sergey N. Filippov , Teiko Heinosaari , Leevi Leppäjärvi