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We study the concepts of compatibility and separability and their implications for quantum and classical systems. These concepts are illustrated on a macroscopic model for the singlet state of a quantum system of two entangled spin 1/2 with…

量子物理 · 物理学 2012-03-28 Diederik Aerts , Christian de Ronde , Bart D'Hooghe

We develop a unified, information theoretic interpretation of the number-phase complementarity that is applicable both to finite-dimensional (atomic) and infinite-dimensional (oscillator) systems. The relevant uncertainty principle is…

量子物理 · 物理学 2015-05-19 R. Srikanth , Subhashish Banerjee

Complementary correlations can reveal the genuine quantum correlations present in a composite quantum system. Here we investigate the relation between complementary correlations and other aspects of genuine quantum correlations. We show…

量子物理 · 物理学 2015-03-12 Prasenjit Deb

A quantitative measure of quantum coherence was recently introduced, in the context of quantum information theory. This measure has also been propounded as a good quantifier of the wave nature of quantum objects. However, actually measuring…

量子物理 · 物理学 2017-04-12 Tania Paul , Tabish Qureshi

Entanglement entropy, which is a measure of quantum correlations between separate parts of a many-body system, has emerged recently as a fundamental quantity in broad areas of theoretical physics, from cosmology and field theory to…

量子物理 · 物理学 2009-03-09 Israel Klich , Leonid Levitov

There are at least a number of ways to formally define complexity. Most of them relate to some kind of minimal description of the studied object. Being this one in form of minimal resources of minimal effort needed to generate the object…

量子物理 · 物理学 2013-04-25 Yuri Campbell , José Roberto Castilho Piqueira

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

We discuss the notion of integrability in quantum mechanics. Starting from a review of some definitions commonly used in the literature, we propose a different set of criteria, leading to a classification of models in terms of different…

强关联电子 · 物理学 2015-05-20 J. -S. Caux , J. Mossel

We review some concepts and properties of quantum correlations, in particular multipartite measures, geometric measures and monogamy relations. We also discuss the relation between classical and total correlations

量子物理 · 物理学 2017-06-13 Thiago R. de Oliveira

Quantum capacities are fundamental quantities that are notoriously hard to compute and can exhibit surprising properties such as superadditivity. Thus, a vast amount of literature is devoted to finding tight and computable bounds on these…

量子物理 · 物理学 2023-03-02 Christoph Hirche , Felix Leditzky

Quantum entanglement is the quantum information processing resource. Thus it is of importance to understand how much of entanglement particular quantum states have, and what kinds of laws entanglement and also transformation between…

量子物理 · 物理学 2007-05-23 Toshiyuki Shimono

Developments in the foundations of quantum mechanics have identified several attributes and tests associated with the "quantumness" of systems, including entanglement, nonlocality, quantum erasure, Bell test, etc. Here we introduce and…

量子物理 · 物理学 2016-05-03 Torsten Scholak , Paul Brumer

The quantitative formulation of Bohr's complementarity proposed by Greenberger and Yasin is applied to some physical situations for which analytical expressions are available. This includes a variety of conventional double-slit experiments,…

量子物理 · 物理学 2009-11-10 A. Bramon , G. Garbarino , B. C. Hiesmayr

One of the central features of quantum theory is that there are pairs of quantum observables that cannot be measured simultaneously. This incompatibility of quantum observables is a necessary ingredient in several quantum phenomena, such as…

量子物理 · 物理学 2016-04-28 Teiko Heinosaari

We investigate the system-environment information flow from the point of view ofcomplete complementarity relations. We consider some commonly used noisy quantum channels:Amplitude damping, phase damping, bit flip, bit-phase flip, phase…

量子物理 · 物理学 2021-06-25 Marcos L. W. Basso , Jonas Maziero

We review a recently developed theoretical approach to the experimental detection and quantification of bipartite quantum correlations between a qubit and a d dimensional system. Specifically, introducing a properly designed measure Q, the…

量子物理 · 物理学 2012-12-06 Davide Girolami , Ruggero Vasile , Gerardo Adesso

Quantization of the gravity remains one of the most important, yet extremely illusive, challenges at the heart of modern physics. Any attempt to resolve this long-standing problem seems to be doomed, as the route to any direct empirical…

广义相对论与量子宇宙学 · 物理学 2022-05-05 Yusef Maleki , Alireza Maleki

We analyze the trade-off between the amounts of information obtainable on complementary properties of a qubit state by simultaneous measurements. We consider a "state discrimination" scenario wherein the same measurements are repeated, but…

量子物理 · 物理学 2009-03-26 Noam Erez , Daniel Jacobs , Gershon Kurizki

We propose a novel approach to quantify quantum coherence which, contrary to the previous ones, does not rely on resource theory but rather on ontological considerations. In this framework, coherence is understood as the ability for a…

数学物理 · 物理学 2025-02-17 Antoine Soulas

Complementarity principle is one of the central concepts in quantum mechanics which restricts joint measurement for certain observables. Of course, later development shows that joint measurement could be possible for such observables with…

量子物理 · 物理学 2013-05-28 Manik Banik , M. D. Rajjak Gazi , Sibasish Ghosh , Guruprasad Kar