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The Pusey-Barrett-Rudolph theorem has recently provoked a lot of discussion regarding the reality of the quantum state. In this article we focus on a property called antidistinguishability, which is a main component in constructing the…

量子物理 · 物理学 2018-08-13 Teiko Heinosaari , Oskari Kerppo

We study the quantumness of correlations for ensembles of bi- and multi-partite systems and relate it to the task of quantum data hiding. Quantumness is here intended in the sense of minimum average disturbance under local measurements. We…

量子物理 · 物理学 2014-12-02 Marco Piani , Varun Narasimhachar , John Calsamiglia

The well-known two-slit interference is understood as a special relation between observable (localization at the slits) and state (being on both slits). Relation between an observable and a quantum state is investigated in the general case.…

量子物理 · 物理学 2009-11-11 Fedor Herbut

Identical classical particles are distinguishable. This distinguishability affects the number of ways W a macrostate can be realized on the micro-level, and from the relation S = k ln W leads to a non-extensive expression for the entropy.…

统计力学 · 物理学 2015-05-20 Marijn A. M. Versteegh , Dennis Dieks

The existence of incompatible measurements, i.e. measurements which cannot be performed simultaneously on a single copy of a quantum state, constitutes an important distinction between quantum mechanics and classical theories. While…

量子物理 · 物理学 2022-06-22 Krzysztof Mordasewicz , Jędrzej Kaniewski

An essential quantity in quantum information theory is the von Neumann entropy which depends entirely on the quantum density operator. Once known, the density operator reveals the statistics of observables in a quantum process, and the…

系统与控制 · 电气工程与系统科学 2023-09-08 Mark Balas , Vinod P. Gehlot , Tristan D. Griffith

We present first measure of quantum correlation of an ensemble of multiparty states. It is based on the idea of minimal entropy production in a locally distinguishable basis measurement. It is shown to be a relative entropy distance from a…

量子物理 · 物理学 2009-10-29 Michal Horodecki , Aditi Sen De , Ujjwal Sen

Heisenberg's uncertainty principle is one of the main tenets of quantum theory. Nevertheless, and despite its fundamental importance for our understanding of quantum foundations, there has been some confusion in its interpretation: although…

量子物理 · 物理学 2013-05-06 Cyril Branciard

Observational entropy provides a general notion of quantum entropy that appropriately interpolates between Boltzmann's and Gibbs' entropies, and has recently been argued to provide a useful measure of out-of-equilibrium thermodynamic…

量子物理 · 物理学 2023-05-09 Francesco Buscemi , Joseph Schindler , Dominik Šafránek

Quantum coherence is one of the most basic characteristics of quantum mechanics. Here we give some methods to detect and measure quantum coherence. Firstly, we propose a coherence criterion without full quantum state tomography based on…

量子物理 · 物理学 2025-06-19 Yiding Wang , Tinggui Zhang

Identifying the $k$-partite entanglement and $k$-nonseparability of general $N$-partite quantum states are fundamental issues in quantum information theory. By use of computable inequalities of nonlinear operators, we present some simple…

量子物理 · 物理学 2021-05-11 Yan Hong , Ting Gao , Fengli Yan

State representations summarize our knowledge about a system. When unobservable quantities are introduced the state representation is typically no longer unique. However, this non-uniqueness does not affect subsequent inferences based on…

量子物理 · 物理学 2009-11-10 Kae Nemoto , Samuel L. Braunstein

Indistinguishability of particles is normally considered to be an inherently quantum property which cannot be possessed by a classical theory. However, Saunders has argued that this is incorrect, and that classically indistinguishable…

统计力学 · 物理学 2007-05-23 Daniel Gottesman

In this work, we show that 'splitting of quantum information' [6] is an impossible task from three different but consistent principles of unitarity of Quantum Mechanics, no-signalling condition and non increase of entanglement under Local…

量子物理 · 物理学 2009-11-13 Indranil Chakrabarty , S. Adhikari , Prashant , B. S. Choudhury

We present here an overview of our work concerning entanglement properties of composite quantum systems. The characterization of entanglement, i.e. the possibility to assert if a given quantum state is entangled with others and how much…

量子物理 · 物理学 2007-05-23 K. Eckert , O. Gühne , F. Hulpke , P. Hyllus , J. Korbicz , J. Mompart , D. Bruß , M. Lewenstein , A. Sanpera

Wave-particle duality, a fundamental principle of quantum mechanics, encapsulates the complementary relationship between the wave and particle behaviors of quantum systems. In this paper, we treat quantum coherence and classical…

量子物理 · 物理学 2025-08-05 Zhiping Liu , Chengkai Zhu , Hua-Lei Yin , Xin Wang

Quantum systems can display particle- or wave-like properties, depending on the type of measurement that is performed on them. The Bell-state quantum eraser is an experiment that brings the duality to the forefront, as a single measurement…

量子物理 · 物理学 2017-01-11 Jennifer R. Glick , Christoph Adami

The basic notions of quantum mechanics are formulated in terms of separable infinite dimensional Hilbert space $\mathcal{H}$. In terms of the Hilbert lattice $\mathcal{L}$ of closed linear subspaces of $\mathcal{H}$ the notions of state and…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Eike Neumann , Martin Pape , Thomas Streicher

The second law of thermodynamics states that entropy increases (or does not change) by time in an isolated system. As microscopic physical laws are reversible, the origin of irreversibility is not straightforward. Although the outcome of a…

统计力学 · 物理学 2013-02-19 Balint Szabo

The maximum-likelihood principle unifies inference of quantum states and processes from experimental noisy data. Particularly, a generic quantum process may be estimated simultaneously with unknown quantum probe states provided that…

量子物理 · 物理学 2009-11-07 Miroslav Jezek , Jaromir Fiurasek , Zdenek Hradil