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The representation of measurements by positive operator valued measures and the description of the most general state transformations by means of completely positive maps are two basic concepts of quantum information theory. These concepts…

量子物理 · 物理学 2007-05-23 Daniel R. Terno

The formulation of quantum mechanics within the framework of entropic dynamics is extended to the domain of relativistic quantum fields. The result is a non-dissipative relativistic diffusion in the infinite dimensional space of field…

量子物理 · 物理学 2015-06-12 Ariel Caticha

The theory of fields that are equipped with a countably infinite family of commuting derivations is not companionable; but if the axiom is added whereby the characteristic of the fields is zero, then the resulting theory is companionable.…

逻辑 · 数学 2013-03-28 Özcan Kasal , David Pierce

We show that three fundamental information-theoretic constraints--the impossibility of superluminal information transfer between two physical systems by performing measurements on one of them, the impossibility of broadcasting the…

量子物理 · 物理学 2007-05-23 Rob Clifton , Jeffrey Bub , Hans Halvorson

We consider a spacetime formed by several pieces having common timelike boundary which plays the role of a junction between them. We establish junction conditions for fields of various spin and derive the resulting laws of wave propagation…

高能物理 - 理论 · 物理学 2009-10-31 P. I. Fomin , Yu. V. Shtanov

A common assumption in quantum field theory is that the energy-momentum 4-vector of any quantum state must be timelike. It will be proven that this is not the case for a Dirac-Maxwell field. In this case quantum states can be shown to exist…

高能物理 - 理论 · 物理学 2007-05-23 Dan Solomon

It is shown that the independence of the continuum hypothesis points to the unique definite status of the set of intermediate cardinality: the intermediate set exists only as a subset of continuum. This latent status is a consequence of…

量子物理 · 物理学 2007-05-23 O. Yaremchuk

We highlight the general notion of a relative quantum field theory, which occurs in several contexts. One is in gauge theory based on a compact Lie algebra, rather than a compact Lie group. This is relevant to the maximal superconformal…

高能物理 - 理论 · 物理学 2014-01-15 Daniel S. Freed , Constantin Teleman

The relativistic conception of space and time is challenged by the quantum nature of physical observables. It has been known for a long time that Poincar\'e symmetry of field theory can be extended to the larger conformal symmetry. We use…

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

We consider in general terms dynamical systems with finite-dimensional, non-simply connected configuration-spaces. The fundamental group is assumed to be finite. We analyze in full detail those ambiguities in the quantization procedure that…

量子物理 · 物理学 2007-05-23 Domenico Giulini

We discuss a recently proposed extension of Bohmian mechanics to quantum field theory. For more or less any regularized quantum field theory there is a corresponding theory of particle motion, which in particular ascribes trajectories to…

量子物理 · 物理学 2007-05-23 Detlef Duerr , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

The assumption that the vacuum is the minimum energy state, invariant under unitary transformations, is fundamental to quantum field theory. However, the assertion that the conservation of charge implies that the equal time commutator of…

数学物理 · 物理学 2008-11-20 Gerald E. Marsh

Inspired by the structural unification of unitary groups (quantum field theory) with orthogonal groups (relativity) proposed recently through a non-division algebra, we construct a hypercomplex field theory with an internal symmetry that…

高能物理 - 理论 · 物理学 2017-05-24 R. Cartas-Fuentevilla , A. J. C. Juárez-Domínguez

The formalism of quantum mechanics is presented in a way that its interpretation as a classical field theory is emphasized. Two coupled real fields are defined with given equations of motion. Densities and currents associated to the fields…

量子物理 · 物理学 2007-05-23 A. C. de la Torre , A. Daleo

We explore the implications of restricting the framework of quantum theory and quantum computation to finite fields. The simplest proposed theory is defined over arbitrary finite fields and loses the notion of unitaries. This makes such…

量子物理 · 物理学 2015-03-19 Andrew J. Hanson , Gerardo Ortiz , Amr Sabry , Jeremiah Willcock

Decoherence may not solve all of the measurement problems of quantum mechanics. It is proposed that a solution to these problems may be to allow that superpositions describe physically real systems in the following sense. Each quantum…

量子物理 · 物理学 2007-05-23 Paul Merriam

Quantum energy teleportation (QET) is, from an operational viewpoint of distant protocol users, the transportation of energy via local operations and classical communication. QET has various links to fundamental research fields, including…

量子物理 · 物理学 2014-01-21 Masahiro Hotta , Jiro Matsumoto , Go Yusa

The limitation on the sharing of entanglement is a basic feature of quantum theory. For example, if two qubits are completely entangled with each other, neither of them can be at all entangled with any other object. In this paper we show,…

量子物理 · 物理学 2015-07-24 William K. Wootters

By considering (non-relativistic) quantum mechanics as it is done in practice in particular in condensed-matter physics, it is argued that a deterministic, unitary time evolution within a chosen Hilbert space always has a limited scope,…

量子物理 · 物理学 2017-10-03 Barbara Drossel

Quantum mechanics---the theory describing the fundamental workings of nature---is famously counterintuitive: it predicts that a particle can be in two places at the same time, and that two remote particles can be inextricably and…