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In usual quantum theory, the information available about a quantum system is defined in terms of the density matrix describing it on a spacelike surface. This definition must be generalized for extensions of quantum theory which do not have…

广义相对论与量子宇宙学 · 物理学 2009-10-22 James B. Hartle

Many important results in modern quantum information theory have been obtained for an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a…

量子物理 · 物理学 2016-09-08 Igor V. Volovich

In standard quantum theory, the ideas of information-entropy and of pure states are closely linked. States are represented by density matrices $\rho$ on a Hilbert space and the information-entropy $-tr(\rho\log\rho)$ is minimised on pure…

量子物理 · 物理学 2016-09-08 C. J. Isham , N. Linden

In modern quantum information theory one deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime.…

量子物理 · 物理学 2016-09-08 Igor V. Volovich

A definition is proposed to give precise meaning to the counterfactual statements that often appear in discussions of the implications of quantum mechanics. Of particular interest are counterfactual statements which involve events occurring…

量子物理 · 物理学 2007-05-23 J. Finkelstein

According to quantum mechanics, the informational content of isolated systems does not change in time. However, subadditivity of entropy seems to describe an excess of information when we look at single parts of a composite systems and…

量子物理 · 物理学 2019-11-12 Marco Roncaglia

While the quantum mutual information is a fundamental measure of quantum information, it is only defined for spacelike-separated quantum systems. Such a limitation is not present in the theory of classical information, where the mutual…

量子物理 · 物理学 2024-10-04 James Fullwood , Zhen Wu , Arthur J. Parzygnat , Vlatko Vedral

Quantum information can provide a lens for characterizing the operational implications of spacetime physics. A well-known result in this area is that quantum entanglement is degraded in the vicinity of a black hole. This result treats the…

量子物理 · 物理学 2024-07-02 Richard Howl , Ali Akil , Hlér Kristjánsson , Xiaobin Zhao , Giulio Chiribella

These are the author's lectures at the 1992 Les Houches Summer School, "Gravitation and Quantizations". They develop a generalized sum-over-histories quantum mechanics for quantum cosmology that does not require either a preferred notion of…

广义相对论与量子宇宙学 · 物理学 2014-01-15 James B. Hartle

Quantum information is defined by applying the concepts of ordinary (Shannon) information theory to a quantum sample space consisting of a single framework or consistent family. A classical analogy for a spin-half particle and other…

量子物理 · 物理学 2009-11-07 Robert B. Griffiths

This work is a discussion on the concept of information. We define here information as an abstraction that is able to be copied. We consider the connection between the process of copying information in quantum systems and the emergence of…

量子物理 · 物理学 2012-02-10 Marcin Ostrowski

The mutual information characterizes correlations between spatially separated regions of a system. Yet, in experiments we often measure dynamical correlations, which involve probing operators that are also separated in time. Here, we…

量子物理 · 物理学 2025-10-07 Paolo Glorioso , Xiao-Liang Qi , Zhenbin Yang

Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent…

量子物理 · 物理学 2007-05-23 M. A. Nielsen

One of the reasons we expect a standard quantum mechanics, which predicts probabilities for alternatives defined on spacelike slices, to be inadequate for quantum gravity is that the notion of ``spacelike'' is ill-defined in a theory where…

广义相对论与量子宇宙学 · 物理学 2009-10-22 John T. Whelan

It is univocally anticipated that in a theory of quantum gravity, there exist quantum superpositions of semiclassical states of spacetime geometry. Such states could arise for example, from a source mass in a superposition of spatial…

广义相对论与量子宇宙学 · 物理学 2025-01-20 Joshua Foo , Robert B. Mann , Magdalena Zych

Although the standard viewpoint in theoretical physics is that the unification of quantum theory and general relativity requires the quantization of gravity and spacetime, there is not consensus about whether spacetime must fundamentally…

量子物理 · 物理学 2022-05-23 Damián Pitalúa-García

Quantum information, a field in which great advances have been made in the past decades, now presents opportunities for chemistry. One roadblock to progress, especially for experimental chemical science, is that new concepts and technical…

量子物理 · 物理学 2024-04-22 Weijun Wu , Gregory D. Scholes

A deformation of special relativistic kinematics (possible signal of a theory of quantum gravity at low energies) leads to a modification of the notion of spacetime. At the classical level, this modification is required when one considers a…

高能物理 - 理论 · 物理学 2019-12-02 J. M. Carmona , J. L. Cortes , J. J. Relancio

This essay examines our fundamental conceptions of time, spacetime, the asymmetry of time, and the motion of a quantum mechanical particle. The concept of time has multiple meanings and these are often confused in the literature and must be…

广义相对论与量子宇宙学 · 物理学 2014-08-15 Gerald E. Marsh

We argue in a quantitative way that the unitarity principle of quantum field theory together with the quantum information bound on correlation functions are in tension with a space which is made out of disconnected patches at microscopic…

高能物理 - 理论 · 物理学 2021-02-05 Amir-Pouyan Khosravi , Frank Saueressig
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