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We derive a Bell-like inequality involving all correlations in local observables with uncertainty free states and show that the inequality is violated in quantum mechanics for EPR and GHZ states. If the uncertainties are allowed in local…

量子物理 · 物理学 2007-05-23 Arun Kumar Pati

The use of the so-called entropic inequalities is revisited in the light of new quantum correlation measures, specially nonlocality. We introduce the concept of {\it classicality} as the non-violation of these classical inequalities by…

量子物理 · 物理学 2015-05-14 J. Batle , Mahmoud Abdel-Aty , C. H. Raymond Ooi , S. Abdalla , Y. Al-hedeethi

The assumptions required for the derivation of Bell inequalities are not usually satisfied for random fields in which there are any thermal or quantum fluctuations, in contrast to the general satisfaction of the assumptions for classical…

其他凝聚态物理 · 物理学 2007-05-23 Peter Morgan

Some authors have raised the question whether the probabilities stemming from a quantum mechanical computation are entitled to enter the Bell and the Clauser-Horne inequalities. They have remarked that if the quantum probabilities are given…

量子物理 · 物理学 2007-05-23 S. Antoci , L. Mihich

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 relation between Bell inequalities with two two-outcome measurements per site and distillability is analyzed in systems of an arbitrary number of quantum bits. We observe that the violation of any of these inequalities by a quantum…

量子物理 · 物理学 2009-11-07 Antonio Acin , Valerio Scarani , Michael M. Wolf

We define a property called nondegeneracy for Bell inequalities, which describes the situation that in a Bell setting, if a Bell inequality and involved local measurements are chosen and fixed, any quantum state with a given dimension and…

量子物理 · 物理学 2021-03-24 Zhaohui Wei , Lijinzhi Lin

What violations of Bell inequalities teach us is that the world is quantum mechanical, i.e., nonclassical. Assertions that they imply the world is nonlocal arise from ignoring differences between quantum and classical physics.

量子物理 · 物理学 2013-04-17 Robert B. Griffiths

Quantum mechanics can emerge from classical statistics. A typical quantum system describes an isolated subsystem of a classical statistical ensemble with infinitely many classical states. The state of this subsystem can be characterized by…

量子物理 · 物理学 2015-05-13 C. Wetterich

Measurement incompatibility describes two or more quantum measurements whose expected joint outcome on a given system cannot be defined. This purely non-classical phenomenon provides a necessary ingredient in many quantum information tasks…

量子物理 · 物理学 2020-04-01 Francesco Buscemi , Eric Chitambar , Wenbin Zhou

Quantum mechanics challenges our intuition on the cause-effect relations in nature. Some fundamental concepts, including Reichenbach's common cause principle or the notion of local realism, have to be reconsidered. Traditionally, this is…

量子物理 · 物理学 2020-12-04 Mariami Gachechiladze , Nikolai Miklin , Rafael Chaves

Quantum correlations which violate a Bell inequality are presumed to power better-than-classical protocols for solving communication complexity problems (CCPs). How general is this statement? We show that violations of correlation-type Bell…

量子物理 · 物理学 2020-09-09 Armin Tavakoli , Marek Żukowski , Časlav Brukner

We discuss the connection between the incompatibility of quantum measurements, as captured by the notion of joint measurability, and the violation of Bell inequalities. Specifically, we present explicitly a given a set of non jointly…

量子物理 · 物理学 2018-02-02 Flavien Hirsch , Marco Túlio Quintino , Nicolas Brunner

Although quantum coherence is a basic trait of quantum mechanics, the presence of coherences in the quantum description of a certain phenomenon does not rule out the possibility to give an alternative description of the same phenomenon in…

Bell inequalities have traditionally been used to demonstrate that quantum theory is nonlocal, in the sense that there exist correlations generated from composite quantum states that cannot be explained by means of local hidden variables.…

The claim that there is an inconsistency of quantum-classical dynamics [1] is investigated. We point out that a consistent formulation of quantum and classical dynamics which can be used to describe quantum measurement processes is already…

量子物理 · 物理学 2007-05-23 E. C. G. Sudarshan

In the first part of this thesis Bell's theorem is revisited. It points at a difference between the quantum and the classical world. This difference is often behind the advantages of solutions using quantum mechanics. New and more general…

量子物理 · 物理学 2007-08-23 Tomasz Paterek

Bell inequality violation is one of the most widely known manifestations of entanglement in quantum mechanics; indicating that experiments on physically separated quantum mechanical systems cannot be given a local realistic description.…

量子物理 · 物理学 2007-05-23 Yeong-Cherng Liang , Andrew C. Doherty

We establish connections between the requirement of measurability of a probability space and the principle of complimentarity in quantum mechanics. It is shown that measurability of a probability space implies the dependence of results of…

量子物理 · 物理学 2007-05-23 D. A. Slavnov

Quantum simulations of Bell inequality violations are numerically obtained using probabilistic phase space methods, namely the positive P-representation. In this approach the moments of quantum observables are evaluated as moments of…

量子物理 · 物理学 2014-08-18 Laura Rosales-Zárate , Bogdan Opanchuk , Peter D. Drummond , Margaret D. Reid