On the Activation of Quantum Nonlocality

Ducuara, Andrés F.; Madroñero, Javier; Reina, John H.

doi:10.11144/javeriana.sc21-2.otao

Cited by 5 publications

(3 citation statements)

References 58 publications

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“…[23] to the general multipartite scenario. Other notable examples of hidden nonlocality can be found in [33][34][35][36][37]. To date, all known examples of activation in the single-copy regime can be understood as hidden nonlocality, and it is an open question whether stronger results are possible by exploiting the full sequential structure.…”

Section: Activation Of Bell Nonlocalitymentioning

confidence: 99%

Single-copy activation of Bell nonlocality via broadcasting of quantum states

Bowles

Hirsch

Cavalcanti

2021

Quantum

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Activation of Bell nonlocality refers to the phenomenon that some entangled mixed states that admit a local hidden variable model in the standard Bell scenario nevertheless reveal their nonlocal nature in more exotic measurement scenarios. We present such a scenario that involves broadcasting the local subsystems of a single-copy of a bipartite quantum state to multiple parties, and use the scenario to study the nonlocal properties of the two-qubit isotropic state:ρα=α|Φ+⟩⟨Φ+|+(1−α)14.We present two main results, considering that Nature allows for (i) the most general no-signalling correlations, and (ii) the most general quantum correlations at the level of any hidden variable theory. We show that the state does not admit a local hidden variable description for α>0.559 and α>12, in cases (i) and (ii) respectively, which in both cases provides a device-independent certification of the entanglement of the state. These bounds are significantly lower than the previously best-known bound of 0.697 for both Bell nonlocality and device-independent entanglement certification using a single copy of the state. Our results show that strong examples of non-classicality are possible with a small number of resources.

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Section: Activation Of Bell Nonlocalitymentioning

confidence: 99%

Single-copy activation of Bell nonlocality via broadcasting of quantum states

Bowles

Hirsch

Cavalcanti

2021

Quantum

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“…A well-known procedure [49,50] allows us to express the maximum value of the Bell function B max in terms of the concurrence (entanglement) [35] of the state |Ψ LR as…”

Section: (B) Bell Inequality Violation For Identical Particlesmentioning

confidence: 99%

Dealing with indistinguishable particles and their entanglement

Castellini

Franco

2018

Phil. Trans. R. Soc. A.

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Here, we discuss a particle-based approach to deal with systems of many identical quantum objects (particles) that never employs labels to mark them. We show that it avoids both methodological problems and drawbacks in the study of quantum correlations associated with the standard quantum mechanical treatment of identical particles. The core of this approach is represented by the multiparticle probability amplitude, whose structure in terms of single-particle amplitudes we derive here by first principles. To characterize entanglement among the identical particles, this new method uses the same notions, such as partial trace, adopted for non-identical ones. We highlight the connection between our approach and second quantization. We also define spin-exchanged multipartite states which contain a generalization of W states to identical particles. We prove that particle spatial overlap plays a role in the distributed entanglement within multipartite systems and is responsible for the appearance of non-local quantum correlations.This article is part of a discussion meeting issue 'Foundations of quantum mechanics and their impact on contemporary society'.

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“…Furthermore, Bell nonlocality has been recently shown to provide an advantage when deciding conflicting interest games 8 9 10 . In this regard, and mostly inspired by strategies of this sort, the activation of quantum nonlocality has been put forward 22 23 24 . In particular, k -copy nonlocality or superactivation 24 , and activation of nonlocality through tensoring and local filtering 25 , although seminal for protocols based on nonlocality (e.g., quantum cryptography), are ultimately limited by the presence of entanglement 22 .…”

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confidence: 99%

Quantum Locality in Game Strategy

Melo-Luna

Susa

Ducuara

et al. 2017

Sci Rep

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Game theory is a well established branch of mathematics whose formalism has a vast range of applications from the social sciences, biology, to economics. Motivated by quantum information science, there has been a leap in the formulation of novel game strategies that lead to new (quantum Nash) equilibrium points whereby players in some classical games are always outperformed if sharing and processing joint information ruled by the laws of quantum physics is allowed. We show that, for a bipartite non zero-sum game, input local quantum correlations, and separable states in particular, suffice to achieve an advantage over any strategy that uses classical resources, thus dispensing with quantum nonlocality, entanglement, or even discord between the players’ input states. This highlights the remarkable key role played by pure quantum coherence at powering some protocols. Finally, we propose an experiment that uses separable states and basic photon interferometry to demonstrate the locally-correlated quantum advantage.

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On the Activation of Quantum Nonlocality

Cited by 5 publications

References 58 publications

Single-copy activation of Bell nonlocality via broadcasting of quantum states

Single-copy activation of Bell nonlocality via broadcasting of quantum states

Dealing with indistinguishable particles and their entanglement

Quantum Locality in Game Strategy

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