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When a quantum system is divided into two local subsystems, measurements on the two subsystems can exhibit correlations beyond those possible in a classical joint probability distribution; these are partially explained by entanglement, and…

量子物理 · 物理学 2019-06-17 Aaron Szasz

A standard approach in the foundations of quantum mechanics studies local realism and hidden variables models exclusively in terms of violations of Bell-like inequalities. Thus quantum nonlocality is tied to the celebrated no-go theorems,…

量子物理 · 物理学 2007-05-23 James D. Malley , Arthur Fine

The uncertainty principle imposes a fundamental limit on predicting the measurement outcomes of incompatible observables even if complete classical information of the system state is known. The situation is different if one can build a…

量子物理 · 物理学 2021-07-21 Huangjun Zhu

We consider the classical correlations that two observers can extract by measurements on a bipartite quantum state, and we discuss how they are related to the quantum mutual information of the state. We show with several examples how…

量子物理 · 物理学 2009-09-19 Shengjun Wu , Uffe V. Poulsen , Klaus Mølmer

The purpose of this short tutorial paper is to review various criteria that have been used to characterize the quantum character of correlations in optical systems, such as "gemellity", QND correlation, intrication, EPR correlation and Bell…

量子物理 · 物理学 2007-05-23 Nicolas Treps , Claude Fabre

We consider how the theory of optimal quantum measurements determines the maximum information available to the receiving party of a quantum key distribution (QKD) system employing linearly independent but non-orthogonal quantum states. Such…

量子物理 · 物理学 2024-01-04 Isabella Cerutti , Petra F. Scudo

Informationally overcomplete measurements find important applications in quantum tomography and quantum state estimation. The most popular are maximal sets of mutually unbiased bases, for which trace relations between measurement operators…

量子物理 · 物理学 2024-12-16 Katarzyna Siudzińska

Just recently, complementarity relations (CRs) have been derived from the basic rules of Quantum Mechanics. The complete CRs are equalities involving quantum coherence, $C$, quantum entanglement, and predictability, $P$. While the first two…

量子物理 · 物理学 2022-05-24 Marcos L. W. Basso , Jonas Maziero

Quantum measurement and quantum operation theory is developed here by taking the relational properties among quantum systems, instead of the independent properties of a quantum system, as the most fundamental elements. By studying how the…

量子物理 · 物理学 2021-04-20 Jianhao M. Yang

Standard Quantum Physics states that the outcome of measurements for some distant entangled subsystems are instantaneously statistically correlated, whatever their mutual distance. This correlation presents itself as if there were a…

量子物理 · 物理学 2010-01-14 Jean Schneider

We derive a measurement-independent asymptotic continuity bound on the observational entropy for general POVM measurements, making essential use of its property of bounded concavity. The same insight is used to obtain continuity bounds for…

量子物理 · 物理学 2024-09-25 Joseph Schindler , Andreas Winter

Employing the lattice theory on majorization, we investigate the universal quantum uncertainty relation for any number observables and general measurement. We find: 1. The least bounds of the universal uncertainty relations can only be…

量子物理 · 物理学 2019-08-02 Jun-Li Li , Cong-Feng Qiao

Generalized quantum measurements (also known as POVMs) are of great importance in quantum information and quantum foundations, but often difficult to perform. We present an experimental approach which can in principle be used to perform…

Quantum metrology is a general term for methods to precisely estimate the value of an unknown parameter by actively using quantum resources. In particular, some classes of entangled states can be used to significantly suppress the…

量子物理 · 物理学 2015-05-01 Takanori Sugiyama

Under the principle that quantum mechanical observables are invariant under relevant symmetry transformations, we explore how the usual, non-invariant quantities may capture measurement statistics. Using a relativisation mapping, viewed as…

量子物理 · 物理学 2017-04-05 Leon Loveridge , Paul Busch , Takayuki Miyadera

The transition from classical to quantum mechanics rests on the recognition that the structure of information is not what we thought it was: there are operational, i.e., phenomenal, probabilistic correlations that lie outside the polytope…

量子物理 · 物理学 2015-06-11 Jeffrey Bub

The existence of noncompatible observables in quantum theory makes a direct operational interpretation of two-point correlation functions problematic. Here we challenge such a view by explicitly constructing a measuring scheme that,…

量子物理 · 物理学 2013-12-17 Francesco Buscemi , Michele Dall'Arno , Masanao Ozawa , Vlatko Vedral

The ability of quantum states to be in superposition is one of the key features that sets them apart from the classical world. This `coherence' is rigorously quantified by resource theories, which aim to understand how such properties may…

量子物理 · 物理学 2024-07-08 Ruvi Lecamwasam , Syed M Assad , Joseph J Hope , Ping Koy Lam , Jayne Thompson , Mile Gu

We propose a system of equations to describe the interaction of a quasiclassical variable $X$ with a set of quantum variables $x$ that goes beyond the usual mean field approximation. The idea is to regard the quantum system as continuously…

量子物理 · 物理学 2009-10-30 L. Diosi , J. J. Halliwell

Quantum measurements of physical quantities are usually described as ideal measurements. However, only a few measurements fulfil the conditions of ideal measurements. The aim of the present work is to describe real position measurements…

量子物理 · 物理学 2019-01-17 Klaus Wick