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Previously proposed measures of entanglement, such as entanglement of formation and assistance, are shown to be special cases of the relative entropy of entanglement. The difference between these measures for an ensemble of mixed states is…

量子物理 · 物理学 2009-10-31 L. Henderson , V. Vedral

We prove that the quantum relative entropy is a rate function in large deviation principle. Next, we define information criteria for quantum states and estimate the accuracy of the use of them. Most of the results in this paper are…

量子物理 · 物理学 2012-02-16 Kazuya Okamura

Inspired by foundational studies in classical and quantum physics, and by information retrieval studies in quantum information theory, we prove that the notions of 'energy' and 'entropy' can be consistently introduced in human language and,…

神经元与认知 · 定量生物学 2023-02-27 Diederik Aerts , Jonito Aerts Arguëlles , Lester Beltran , Sandro Sozzo

Distributed quantum information processing is a promising platform for scaling up quantum information processing, where small- and intermediate-scale quantum devices are connected by a network of quantum channels for communicating quantum…

量子物理 · 物理学 2019-03-26 Hayata Yamasaki

Resource theories in quantum information science are helpful for the study and quantification of the performance of information-processing tasks that involve quantum systems. These resource theories also find applications in other areas of…

量子物理 · 物理学 2021-08-09 Eneet Kaur , Siddhartha Das , Mark M. Wilde , Andreas Winter

Quantum thermodynamics and quantum information are two frameworks for employing quantum mechanical systems for practical tasks, exploiting genuine quantum features to obtain advantages with respect to classical implementations. While…

量子物理 · 物理学 2019-05-28 Giuseppe Vitagliano , Claude Klöckl , Marcus Huber , Nicolai Friis

We show that the conservation and the non-additivity of the information, together with the additivity of the entropy make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the…

量子物理 · 物理学 2009-11-13 Qi-Ren Zhang

Understanding the resource consumption in distributed scenarios is one of the main goals of quantum information theory. A prominent example for such a scenario is the task of quantum state merging where two parties aim to merge their parts…

量子物理 · 物理学 2016-06-21 A. Streltsov , E. Chitambar , S. Rana , M. N. Bera , A. Winter , M. Lewenstein

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for closed and open quantum systems far from equilibrium, where…

量子物理 · 物理学 2021-08-31 Philipp Strasberg , Andreas Winter

The present Thesis covers the subject of the characterization of entangled states by recourse to entropic measures, as well as the description of entanglement related to several issues in quantum mechanics, such as the speed of a quantum…

量子物理 · 物理学 2009-09-29 Josep Batle-Vallespir

Understanding thermodynamics far from equilibrium at the quantum scale remains a fundamental challenge, particularly in the presence of quantum coherence. Here we develop a first-principles framework for nonequilibrium quantum…

量子物理 · 物理学 2026-02-11 Md Manirul Ali , Po-Wen Chen

A key tenet of the Transactional Interpretation of Quantum Mechanics is the idea that photon absorption localizes the absorbing material system. In doing so, it measures the location of the absorber and hence reduces information entropy,…

量子物理 · 物理学 2024-12-31 Andreas Schlatter , R. E. Kastner

Entanglement entropy is one of the most prominent measures in quantum physics. We show that it has an interesting ergotropic interpretation in terms of unitarily extracted work. It determines how much energy one can extract from a source of…

量子物理 · 物理学 2023-06-16 Dominik Šafránek

Recently, it was discovered that the `quantum partial information' needed to merge one party's state with another party's state is given by the conditional entropy, which can be negative [Horodecki, Oppenheim, and Winter, Nature 436, 673…

量子物理 · 物理学 2008-03-25 Jonathan Oppenheim , Robert W. Spekkens , Andreas Winter

Quantum entanglement is at the heart of many tasks in quantum information. Apart from simple cases (low dimensions, few particles, pure states), however, the mathematical structure of entanglement is not yet fully understood. This tutorial…

量子物理 · 物理学 2015-06-26 Dagmar Bruss

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

The concept of entropy and the correct application of the Second Law of thermodynamics are essential in order to understand the reason why quantum error correction is thermodynamically possible and no violation of the Second Law occurs…

量子物理 · 物理学 2015-06-16 Carlo Cafaro , Peter van Loock

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

Entropy is the distinguishing and most important concept of our efforts to understand and regularize our observations of a very large class of natural phenomena, and yet, it is one of the most contentious concepts of physics. In this…

量子物理 · 物理学 2007-05-23 Elias P. Gyftopoulos

We consider two fundamental tasks in quantum information theory, data compression with quantum side information as well as randomness extraction against quantum side information. We characterize these tasks for general sources using…

量子物理 · 物理学 2013-10-25 Marco Tomamichel , Masahito Hayashi