Emergence of quantum correlations from nonlocality swapping.

  title={Emergence of quantum correlations from nonlocality swapping.},
  author={Paul Skrzypczyk and Nicolas Brunner and Sandu Popescu},
  journal={Physical review letters},
  volume={102 11},
By studying generalized nonsignaling theories, the hope is to find out what makes quantum mechanics so special. In the present Letter, we revisit the paradigmatic model of nonsignaling boxes and introduce the concept of a genuine box. This will allow us to present the first generalized nonsignaling model featuring quantumlike dynamics. In particular, we present the coupler, a device enabling nonlocality swapping, the analogue of quantum entanglement swapping, as well as teleportation… 

Figures from this paper

Couplers for non-locality swapping

Studying generalized non-signaling theories brings insight into the foundations of quantum mechanics. Here we focus on a dynamical process in such general theories, namely non-locality swapping, the

Strong nonlocality: a trade-off between states and measurements

Measurements on entangled quantum states can produce outcomes that are nonlocally correlated. But according to Tsirelson's theorem, there is a quantitative limit on quantum nonlocality. It is

Generalizations of Boxworld

Boxworld is a toy theory that can generate extremal nonlocal correlations known as PR boxes. These have been well established as an important tool to examine general nonlocal correlations, even

New Genuine Multipartite Entanglement

  • M. Luo
  • Physics, Computer Science
  • 2020
It is proved that any symmetric entangled pure state shows stronger nonlocality than the genuinely multipartiteNonlocality in the biseparable model, and that the present model is useful characterizing a new kind of generic quantum entanglement.

Evolution of entanglement in the Heisenberg XY model: the Yangian algebra method

AbstractWe construct transition operators in terms of generators for Yangian and act with them on the entangled state of the Heisenberg XY model. Different parameter values of the transition

Characterizing quantum correlations in the nonsignaling framework

Quantum correlations forms a subset of the set of nonsignaling boxes. This allows us to characterize quantum correlations as a convex combination of the extremal boxes of the nonsignaling polytope

Resources for quantum information tasks: from the bipartite to the multipartite scenario

The aim of this thesis is to identify and characterize quantum entanglement and quantum nonlocality, the key resources used at quantum information protocols, and builds a multipartite game for which classical and quantum players perform equally well, but for which supre-quantum players can sometimes provide an advantage.

Nonlocality beyond quantum mechanics

There are good reasons to consider nonlocality to be the defining feature of quantum mechanics, but stronger nonlocal correlations than those predicted by quantum theory could exist, which raises the

Application of Y(sl(2)) Algebra for Entanglement of Two-Qubit System

We construct the transition operators in terms of the generators of the general Yangian and the reduced Yangian. By acting these operators on a two-qubit pure state, we find that the entanglement



Entanglement swapping for generalized nonlocal correlations

We consider an analog of entanglement-swapping for a set of black boxes with the most general nonlocal correlations consistent with relativity (including correlations which are stronger than any

Quantum nonlocality and beyond: limits from nonlocal computation.

This work addresses the problem of "nonlocal computation," in which separated parties must compute a function without any individual learning anything about the inputs, and provides intriguing insights into the limits of quantum information processing, the nature of quantum nonlocality, and the differences between quantum and stronger-than-quantum nonlocal correlations.

Limit on nonlocality in any world in which communication complexity is not trivial.

A partial answer to the question why are the correlations achievable by quantum mechanics not maximal among those that preserve causality is given by showing that slightly stronger correlations would result in a world in which communication complexity becomes trivial.

Quantum nonlocality as an axiom

In the conventional approach to quantum mechanics, indeterminism is an axiom and nonlocality is a theorem. We consider inverting the logical order, making nonlocality an axiom and indeterminism a

Nonlocal correlations as an information-theoretic resource

It is well known that measurements performed on spatially separated entangled quantum systems can give rise to correlations that are nonlocal, in the sense that a Bell inequality is violated. They

General properties of nonsignaling theories

This article identifies a series of properties common to all theories that do not allow for superluminal signaling and predict the violation of Bell inequalities. Intrinsic randomness, uncertainty

Quantum analogues of the Bell inequalities. The case of two spatially separated domains

One Investigates inequalities for the probabilities and mathematical expectations which follow from the postulates of the local quantum theory. It turns out that the relation between the quantum and

Simulating maximal quantum entanglement without communication.

It is shown that a single instance of the latter elementary nonlocal correlation suffices to simulate exactly all possible projective measurements that can be performed on a maximally entangled state of two qubits, with no communication needed at all.

On the Einstein-Podolsky-Rosen paradox

THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional

Information processing in generalized probabilistic theories

A framework in which a variety of probabilistic theories can be defined, including classical and quantum theories, and many others, is introduced, and a tensor product rule for combining separate systems can be derived.