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We investigate bounds in the transmission of classical information through quantum systems. Our focus lies in the generalized Holevo theorem, which provides a single-letter Holevo-like inequality from arbitrary quantum distance measures.…

We investigate boundary critical phenomena from a quantum information perspective. Bipartite entanglement in the ground state of one-dimensional quantum systems is quantified using the Renyi entropy S_alpha, which includes the von Neumann…

强关联电子 · 物理学 2007-05-23 Huan-Qiang Zhou , Thomas Barthel , John Ove Fjaerestad , Ulrich Schollwoeck

Multipartite entanglement is the premier resource for quantum technologies. Yet, its exact quantification in the laboratory is notoriously challenging, typically requiring the full knowledge of high dimensional quantum states. Here, we…

量子物理 · 物理学 2026-05-05 Francois Payn , Davide Girolami

The well-known Heisenberg--Robertson uncertainty relation for a pair of noncommuting observables, is expressed in terms of the product of variances and the commutator among the operators, computed for the quantum state of a system.…

量子物理 · 物理学 2019-09-25 David Puertas Centeno , Mariela Portesi

Quantum generalizations of R\'enyi's entropies are a useful tool to describe a variety of operational tasks in quantum information processing. Two families of such generalizations turn out to be particularly useful: the Petz quantum R\'enyi…

量子物理 · 物理学 2020-12-16 Raban Iten

We study the behaviour of R\'enyi entropies in a generic thermodynamic macrostate of an integrable model. In the standard quench action approach to quench dynamics, the R\'enyi entropies may be derived from the overlaps of the initial state…

统计力学 · 物理学 2018-09-03 Marton Mestyán , Vincenzo Alba , Pasquale Calabrese

The entropic way of formulating Heisenberg's uncertainty principle not only plays a fundamental role in applications of quantum information theory but also is essential for manifesting genuine nonclassical features of quantum systems. In…

量子物理 · 物理学 2024-03-05 Shan Huang , Hua-Lei Yin , Zeng-Bing Chen , Shengjun Wu

We propose and experimentally measure an entropy that quantifies the volume of correlations among qubits. The experiment is carried out on a nearly isolated quantum system composed of a central spin coupled and initially uncorrelated with…

量子物理 · 物理学 2021-08-25 Mohamad Niknam , Lea F. Santos , David G. Cory

A classical fluid splitter produces the same patterns of energy redistribution as a Stern-Gerlach quantum device, with rotationally invariant coefficients of correlation between molecular paths. Alternative settings express a cosine squared…

综合物理 · 物理学 2026-04-23 Ghenadie N. Mardari

We prove an entropic uncertainty relation for two quantum channels, extending the work of Frank and Lieb for quantum measurements. This is obtained via a generalized strong super-additivity (SSA) of quantum entropy. Motivated by Petz's…

量子物理 · 物理学 2023-01-23 Li Gao , Marius Junge , Nicholas LaRacuente

Quantum coherence is a crucial resource for quantum information processing. By employing the language of coherence orders largely applied in NMR systems, quantum coherence has been currently addressed in terms of multiple quantum coherences…

量子物理 · 物理学 2020-08-12 Diego Paiva Pires , Augusto Smerzi , Tommaso Macrì

Entanglement entropy is a fundamental measure of quantum correlations and a key resource underpinning advances in quantum information and many-body physics. We uncover a universal relationship between bipartite entanglement entropy and…

By developing a method to represent the Renyi entropies via a replica-trick on classical statistical mechanical systems, we introduce a procedure to calculate the Renyi Mutual Information in any Monte Carlo simulation. Through simulations…

统计力学 · 物理学 2013-10-08 Jason Iaconis , Stephen Inglis , Ann B. Kallin , Roger G. Melko

We consider the Student-t and Student-r distributions, which maximise Renyi entropy under a covariance condition. We show that they have information-theoretic properties which mirror those of the Gaussian distributions, which maximise…

概率论 · 数学 2010-08-17 Oliver Johnson , Christophe Vignat

Quantum correlations arising in Bell experiments, involving a physical source that emits a quantum state to a number of observers, have been intensively studied over the last decades. Much less is known about the nature of quantum…

量子物理 · 物理学 2016-03-01 Armin Tavakoli

We present a new type of generalization of the Renyi entropy that follows naturally from its representation as a thermodynamic quantity. We apply it to the case of d-dimensional conformal field theories (CFTs) reduced on a region bounded by…

高能物理 - 理论 · 物理学 2019-05-29 Clifford V. Johnson

In this paper we discuss the problem of splitting the total correlations for a bipartite quantum state described by the Von Neumann mutual information into classical and quantum parts. We propose a measure of the classical correlations as…

量子物理 · 物理学 2009-11-07 S. Hamieh , J. Qi , D. Siminovitch , M. K. Ali

In this study, using the concept of relative entropy as a distance measure of cor- relations we investigate the important issue of evaluating quantum correlations such as entanglement, dissonance and classical correlations for…

量子物理 · 物理学 2015-09-30 M. A. Jafarizadeh , N. Karimi , D. Amidi , H. Zahir

A novel method for correlation analysis using scale-dependent Renyi entropies is described. The method involves calculating the entropy of a data distribution as an explicit function of the scale of a d-dimensional partition of d-cubes,…

数学物理 · 物理学 2007-05-23 J. G. Reid , T. A. Trainor

Quantum spin liquids are phases of matter whose internal structure is not captured by a local order parameter. Particularly intriguing are critical spin liquids, where strongly interacting excitations control low energy properties. Here we…

强关联电子 · 物理学 2011-08-05 Yi Zhang , Tarun Grover , Ashvin Vishwanath