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Quantum correlations can be naturally formulated in a classical statistical system of infinitely many degrees of freedom. This realizes the underlying non-commutative structure in a classical statistical setting. We argue that the quantum…

量子物理 · 物理学 2015-06-26 C. Wetterich

Following a review of quantum-classical hybrid dynamics, we discuss the ensuing proliferation of observables and relate it to measurements of (would-be) quantum mechanical degrees of freedom performed by (would-be) classical ones (if they…

量子物理 · 物理学 2013-03-06 Hans-Thomas Elze

Observables have a dual nature in both classical and quantum kinematics: they are at the same time \emph{quantities}, allowing to separate states by means of their numerical values, and \emph{generators of transformations}, establishing…

物理学史与哲学 · 物理学 2018-08-01 Federico Zalamea

In this short paper we present the main features of a new quantum programming language proposed recently by Peter Selinger which gives a good idea about the difficulties of constructing a scalable quantum computer. We show how some of these…

量子物理 · 物理学 2007-05-23 M. Kupczynski

Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase…

高能物理 - 理论 · 物理学 2015-06-26 J. M. Isidro

Quantum considerations have led many theorists to believe that classical black hole physics is modified not just deep inside black holes but at {\it horizon scales}, or even further outward. The near-horizon regime has just begun to be…

广义相对论与量子宇宙学 · 物理学 2016-11-14 Steven B. Giddings

In the rapidly growing area of quantum information, the Deutsch algorithm is ubiquitous and, in most cases, the first one to be introduced to any student of this relatively new field of research. The reason for this historical relevance…

量子物理 · 物理学 2019-03-18 Yohan Vianna , Mariana R. Barros , Malena Hor-Meyll

Observables 'are observed' whereas beables just 'are'. This gives beables more scope in the cosmological and quantum domains. Both observables and beables are entities that form 'brackets' with 'the constraints' that are 'equal to' zero. We…

广义相对论与量子宇宙学 · 物理学 2014-09-01 Edward Anderson

We study joint measurability of quantum observables in open systems governed by a master equation of Lindblad form. We briefly review the historical perspective of open systems and conceptual aspects of quantum measurements, focusing…

量子物理 · 物理学 2023-09-13 Jukka Kiukas , Pekka Lahti , Juha-Pekka Pellonpää

Quantum complementarity is a fundamental feature of quantum systems and has captivated the physics research community for nearly a century, with significant advancements emerging in recent decades. This review traces the historical…

量子物理 · 物理学 2026-05-27 Diego S. Starke , Jonas Maziero , Marcos L. W. Basso , Tabish Qureshi

This is an overview of higher structural constructions in physics. The main motivations of our current attempt are as follows: (i) to provide a brief introduction to derived algebraic geometry, (ii) to understand how derived objects…

代数几何 · 数学 2023-07-14 Kadri İlker Berktav

These notes are an elaboration on: (i) a short course that I gave at the IPhT-Saclay in May-June 2012; (ii) a previous letter on reversibility in quantum mechanics. They present an introductory, but hopefully coherent, view of the main…

数学物理 · 物理学 2012-11-27 Francois David

Contextuality is regarded as a non-classical feature, challenging our everyday intuition; quantum contextuality is currently seen as a resource for many applications in quantum computation, being responsible for quantum advantage over…

量子物理 · 物理学 2020-12-16 Roberto D. Baldijao , Marcelo Terra Cunha

Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs,…

量子物理 · 物理学 2015-05-13 C. Wetterich

The framework of generalized probabilistic theories is a powerful tool for studying the foundations of quantum physics. It provides the basis for a variety of recent findings that significantly improve our understanding of the rich physical…

量子物理 · 物理学 2014-08-14 Peter Janotta , Haye Hinrichsen

We present a reformulation of quantum mechanics in terms of probability measures and functions on a general classical sample space and in particular in terms of probability densities and functions on phase space. The basis of our proceeding…

量子物理 · 物理学 2007-05-23 Werner Stulpe

Simultaneous decoherence of conjugate observables of an open quantum system leads to a classical statistical mechanical description with constant phase space probability density in terms of a uniform ensemble. We investigate a scenario…

量子物理 · 物理学 2026-03-30 S. Adarsh , P. N. Bala Subramanian , Sreeraj T. P

The description of relativistic effects requires a preliminary definition of events localised in space-time while the clocks used for time definition and the fields used in synchronisation or localisation procedures are necessarily quantum…

量子物理 · 物理学 2013-02-27 Marc-Thierry Jaekel , Serge Reynaud

We consider some generalization of the theory of quantum states and demonstrate that the consideration of quantum states as sheaves can provide, in principle, more deep understanding of some well-known phenomena. The key ingredients of the…

量子物理 · 物理学 2017-03-29 Antonina N. Fedorova , Michael G. Zeitlin

In the past several years, observational entropy has been developed as both a (time-dependent) quantum generalization of Boltzmann entropy, and as a rather general framework to encompass classical and quantum equilibrium and non-equilibrium…

量子物理 · 物理学 2021-10-28 Dominik Šafránek , Anthony Aguirre , Joseph Schindler , J. M. Deutsch