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We investigate the amount of communication that must augment classical local hidden variable models in order to simulate the behaviour of entangled quantum systems. We consider the scenario where a bipartite measurement is given from a set…

量子物理 · 物理学 2009-10-31 Gilles Brassard , Richard Cleve , Alain Tapp

What classical resources are required to simulate quantum correlations? For the simplest and most important case of local projective measurements on an entangled Bell pair state, we show that exact simulation is possible using local hidden…

量子物理 · 物理学 2007-05-23 B. F. Toner , D. Bacon

Bell's theorem states that Local Hidden Variables (LHVs) cannot fully explain the statistics of measurements on some entangled quantum states. It is natural to ask how much supplementary classical communication would be needed to simulate…

量子物理 · 物理学 2023-10-25 Peter Sidajaya , Aloysius Dewen Lim , Baichu Yu , Valerio Scarani

According to Bell's theorem, certain entangled states cannot be simulated classically using local hidden variables (LHV). But if can we augment LHV by classical communication, how many bits are needed to simulate them? There is a strong…

量子物理 · 物理学 2024-09-02 István Márton , Erika Bene , Péter Diviánszky , Tamás Vértesi

Simulation tasks are insightful tools to compare information-theoretic resources. Considering a generalization of usual Bell scenarios where external quantum inputs are provided to the parties, we show that any entangled quantum state…

量子物理 · 物理学 2013-06-06 Denis Rosset , Cyril Branciard , Nicolas Gisin , Yeong-Cherng Liang

As a consequence of Bell's theorem, the statistics of measurements on some entangled states cannot be simulated with local hidden variables alone. The amount of communication that must be supplied is an intuitive quantifier of…

量子物理 · 物理学 2024-06-17 Peter Sidajaya , Valerio Scarani

Bell's theorem implies that the outcomes of local measurements on two maximally entangled systems cannot be simulated without classical communication between the parties. The communication cost is finite for n Bell states, but it grows…

量子物理 · 物理学 2011-10-17 Alberto Montina

Classical and quantum physics provide fundamentally different predictions about experiments with separate observers that do not communicate, a phenomenon known as quantum nonlocality. This insight is a key element of our present…

量子物理 · 物理学 2017-02-17 Jonatan Bohr Brask , Rafael Chaves

Quantum mechanics admits correlations that cannot be explained by local realistic models. Those most studied are the standard local hidden variable models, which satisfy the well-known Bell inequalities. To date, most works have focused on…

量子物理 · 物理学 2017-06-01 Dylan J. Saunders , Adam J. Bennet , Cyril Branciard , Geoff J. Pryde

We initiate the study of quantifying nonlocalness of a bipartite measurement by the minimum amount of classical communication required to simulate the measurement. We derive general upper bounds, which are expressed in terms of certain…

量子物理 · 物理学 2011-11-04 Yaoyun Shi , Yufan Zhu

Description of nonclassicality of states has hitherto been through violation of Bell inequality and non-separability, with the latter being a stronger constraint. In this paper, we show that this can be further sharpened, by introducing the…

量子物理 · 物理学 2015-06-18 H. M. Bharath , V. Ravishankar

Recent experimental tests of Bell inequalities confirm that entangled quantum systems cannot be described by local classical theories but still do not answer the question whether or not quantum systems could in principle be modelled by…

量子物理 · 物理学 2024-03-07 Kawthar Al Rasbi , Lewis A. Clark , Almut Beige

We investigate when the quantum correlations of a bipartite system, under the influence of environments with memory, are not reproducible with certainty by a classical local hidden variable model. To this purpose, we compare the dynamics of…

量子物理 · 物理学 2010-03-30 Bruno Bellomo , Rosario Lo Franco , Giuseppe Compagno

Suppose Alice and Bob share a maximally entangled state of any finite dimension and each perform two-outcome measurements on the respective part of the state. It is known, due to the recent result of Regev and Toner, that if a classical…

量子物理 · 物理学 2015-05-13 T. Vértesi , E. Bene

In Bell scenario, any nonlocal correlation, shared between two spatially separated parties, can be modeled deterministically either by allowing communications between the two parties or by restricting their free will in choosing the…

量子物理 · 物理学 2013-11-01 Manik Banik

Quantum steering is observed when performing appropriate local measurements on an entangled state. Here we discuss the possibility of simulating classically this effect, using classical communication instead of entanglement. We show that…

量子物理 · 物理学 2016-07-14 Ana Belén Sainz , Leandro Aolita , Nicolas Brunner , Rodrigo Gallego , Paul Skrzypczyk

While all bipartite pure entangled states violate some Bell inequality, the relationship between entanglement and non-locality for mixed quantum states is not well understood. We introduce a simple and efficient algorithmic approach for the…

量子物理 · 物理学 2009-11-07 Barbara M. Terhal , Andrew C. Doherty , David Schwab

We present a local hidden-variable model supplemented by classical communication that reproduces the quantum-mechanical predictions for measurements of all products of Pauli operators on an n-qubit GHZ state (or "cat state"). The simulation…

量子物理 · 物理学 2007-05-23 Tracey E. Tessier , Ivan H. Deutsch , Carlton M. Caves

John Bell taught us that quantum mechanics can not be reproduced by non-contextual and local Hidden variable theory. The impossibility of replacing quantum mechanics by non-contextual Hidden Variable Theory can be turned to a impossible…

量子物理 · 物理学 2007-05-23 Guruprasad Kar

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
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