Nonlocality without inequality for almost all two-qubit entangled states based on Cabello’s nonlocality argument

Kunkri, Samir; Choudhary, Sujit K.; Ahanj, Ali; Joag, Pramod S.

doi:10.1103/physreva.73.022346

Cited by 23 publications

(44 citation statements)

References 9 publications

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“…We showed that on applying the principle of Information causality this bound decreases from 0.5 to 0.20717 in both the cases, but could not reach their respective Quantum mechanical bounds. Interestingly, in quantum mechanics the maximum probability of success for the Cabello's case is not same as the Hardy's case [20]. Since the condition given by equation (11) of the present paper is a sufficient condition derived in [15] for the violating IC, the probability derived here are therefore, strictly, an upper bound on the maximum probabilities allowed in an IC-respecting no-signaling theory.…”

Section: Resultsmentioning

confidence: 83%

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Bound on Hardy’s nonlocality from the principle of information causality

Ahanj

Kunkri²,

Rai

et al. 2010

Phys. Rev. A

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Recently, the principle of non-violation of Information Causality [Nature 461, 1101[Nature 461, (2009], has been proposed as one of the foundational properties of nature. We explore the Hardy's non-locality theorem for two qubit systems, in the context of generalized probability theory, restricted by the principle of non-violation of Information Causality. Applying, a sufficient condition for Information causality violation, we derive an upper bound on the maximum success probability of Hardy's nonlocality argument. We find that the bound achieved here is higher than that allowed by quantum mechanics, but still much less than what the no-signalling condition permits. We also study the Cabello type non-locality argument (a generalization of Hardy's argument) in this context.

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Section: Resultsmentioning

confidence: 83%

“…Later, Cabello [19] has introduced a logical structure to prove Bell's theorem without inequality for three particles GHZ and W states and the argument is also applicable for two qubits [20,21]. Hardy's logical structure is a special case of Cabello's structure.…”

Section: Introductionmentioning

confidence: 99%

Bound on Hardy’s nonlocality from the principle of information causality

Ahanj

Kunkri²,

Rai

et al. 2010

Phys. Rev. A

Self Cite

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show abstract

“…In 2006, Kunkri et al [25] proved that the maximum probability of success in Cabello's argument for two twoqubits system is approximately 11%, which is larger than the original Hardy's success probability. Here, we show that the maximal bound of success probability of Cabello's case has also no advantage in higher-dimension quantum systems and it can be used to generate much more randomness compare to the original Hardy test.…”

Section: B Cabello Paradoxmentioning

confidence: 95%

Device- and semi–device-independent random numbers based on noninequality paradox

Pawłowski

Rahaman

et al. 2015

Phys. Rev. A

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In this work, we propose device independent true random numbers generation protocols based on non-inequality paradoxes such as Hardy's and Cabello's non-locality argument. The efficiency of generating randomness in our protocols are far better than any other proposed protocols certified by CHSH inequality or other non-locality test involving inequalities. Thus, highlighting non-inequality paradox as an important resource for device independent quantum information processing in particular generating true randomness. As a byproduct, we find that the non-local bound of the Cabello's argument with arbitrary dimension is the same as the one achieved in the qubits system. More interestingly, we propose a new dimension witness paradox based on the Cabello's argument, which can be used for constructing semi-device-independent true random numbers generation protocol.

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“…Subsequently, in the literature generalizations [6] of the Hardy's argument appeared aiming at softening some of the correlations requested by the original argument. In fact, the authors of Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Now, one might wonder if a relation exists between the Hardy-like nonlocality conditions, as those mentioned in Refs. [1] and [6], and Bell-like inequalities [3,4]. The aim of this paper is precisely that of showing clearly how the just mentioned relations are nothing but particular instances of a violated Clauser-Horne inequality [4].…”

Section: Introductionmentioning

confidence: 99%