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Information shared between parties quantifies their correlation. The encoding of correlations across space and time characterises the structure, history, and interactions of systems. One of the most fundamental properties that emerges from…

Theoretical understanding of the scaling of entropies and the mutual information has led to significant advances in the research of correlated states of matter, quantum field theory, and gravity. Measuring von Neumann entropy in quantum…

The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. This counterintuitive idea which has its roots in the nonextensive nature of…

Quantum Physics · Physics 2009-11-13 M. M. Wolf , F. Verstraete , M. B. Hastings , J. I. Cirac

We study the nonequilibrium steady state of an infinite chain of free fermions, resulting from an initial state where the two sides of the system are prepared at different temperatures. The mutual information is calculated between two…

Statistical Mechanics · Physics 2014-03-14 Viktor Eisler , Zoltan Zimboras

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…

Quantum Physics · Physics 2025-10-07 Paolo Glorioso , Xiao-Liang Qi , Zhenbin Yang

The area law of the bipartite information measure characterizes one of the most fundamental aspects of quantum many-body physics. In thermal equilibrium, the area law for the mutual information universally holds at arbitrary temperatures as…

Quantum Physics · Physics 2025-08-05 Donghoon Kim , Tomotaka Kuwahara , Keiji Saito

Mutual information and information entropies in momentum space are proposed as measures of the non-local aspects of information. Singlet and triplet state members of the helium isoelectronic series are employed to examine Coulomb and Fermi…

Quantum Physics · Physics 2009-11-13 Robin P. Sagar , Nicolais L. Guevara

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.…

Quantum Physics · Physics 2016-09-08 Igor V. Volovich

We initiate the systematic study of experimental quantum physics from the perspective of computational complexity. To this end, we define the framework of quantum algorithmic measurements (QUALMs), a hybrid of black box quantum algorithms…

Quantum Physics · Physics 2022-03-09 Dorit Aharonov , Jordan Cotler , Xiao-Liang Qi

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…

Quantum Physics · Physics 2024-10-04 James Fullwood , Zhen Wu , Arthur J. Parzygnat , Vlatko Vedral

The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled…

High Energy Physics - Theory · Physics 2011-12-05 V. Balasubramanian , A. Bernamonti , N. Copland , B. Craps , F. Galli

Correlations disguised in various forms underlie a host of important phenomena in classical and quantum systems, such as information and energy exchanges. The quantum mutual information and the norm of the correlation matrix are both…

Quantum Physics · Physics 2020-04-15 S. Alipour , S. Tuohino , A. T. Rezakhani , T. Ala-Nissila

This thesis uses a quantity that is defined and justified by information theory -- mutual information -- to examine models of condensed matter systems. More precisely, it studies models which are made up out of ferromagnetically interacting…

Quantum Physics · Physics 2013-03-19 Johannes Wilms

A new approach is presented to compute entropy for massless scalar quantum fields. By perturbing a skewed correlation matrix composed of field operator correlation functions, the mutual information is obtained for disjoint spherical regions…

High Energy Physics - Theory · Physics 2025-01-15 Joseph Bramante , Andrew Buchanan

We study the entanglement entropy and the mutual information in coupled harmonic systems at finite temperature. Interestingly, we find that the mutual information does not vanish at infinite temperature, but it rather reaches a specific…

High Energy Physics - Theory · Physics 2020-04-20 Dimitrios Katsinis , Georgios Pastras

A framework for a quantum information theory is introduced that is based on the measure of quantum information associated with probability distribution predicted by quantum measuring of state. The entanglement between states of measured…

Quantum Physics · Physics 2007-05-23 Yi-Xin Chen

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

We study thermodynamics and quantum correlations of the string cloud geometry whose field theory dual is the quark-gluon medium. We found the novel universality of the entanglement entropy first law in the high quark density limit. We also…

High Energy Physics - Theory · Physics 2022-12-14 Chanyong Park , Jung Hun Lee

The area law-like scaling of local quantum entropies is the central characteristic of the entanglement inherent in quantum fields, many-body systems, and spacetime. Whilst the area law is primarily associated with the entanglement structure…

Quantum Physics · Physics 2024-04-19 Tobias Haas

Motivated by thermodynamic considerations, we analyse the variation of the quantum mutual information on a unitary orbit of a bipartite system's state, with and without global constraints such as energy conservation. We solve the full…

Quantum Physics · Physics 2012-06-01 Sania Jevtic , David Jennings , Terry Rudolph
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