New loophole for the Einstein-Podolsky-Rosen paradox

Feldmann, M.

doi:10.1007/bf02187530

Cited by 23 publications

(34 citation statements)

References 12 publications

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“…Nonetheless, if we relax our model and let the random variable depend on one of the inputs, it becomes possible to reproduce the quantum joint distribution (1) (this is a slight extension of a result by Feldmann [7]): Theorem 4 (Sampling theorem). Let a and b be Alice's and Bob's inputs.…”

Section: Protocol With a Biased Random Sourcementioning

confidence: 85%

“…In the local hidden variable model for two parties, Alice has an input a and an output A, and similarly, Bob has an input b and an output B, and they share a set of random variables which are distributed independently of Alice and Bob's input. Following an idea introduced by Feldmann [7], we can relax the condition that the shared randomness is distributed independently of the input, and imagine that Alice and Bob share a set of random variables with a distribution depending on Alice's input. Clearly in this scenario, there exists a distribution which allows them to reproduce quantum correlations (a trivial way is to let the random source produce a with probability 1).…”

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confidence: 99%

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Simulating quantum correlations as a distributed sampling problem

2005

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It is known that quantum correlations exhibited by a maximally entangled qubit pair can be simulated with the help of shared randomness, supplemented with additional resources, such as communication, post-selection or non-local boxes. For instance, in the case of projective measurements, it is possible to solve this problem with protocols using one bit of communication or making one use of a non-local box. We show that this problem reduces to a distributed sampling problem. We give a new method to obtain samples from a biased distribution, starting with shared random variables following a uniform distribution, and use it to build distributed sampling protocols. This approach allows us to derive, in a simpler and unified way, many existing protocols for projective measurements, and extend them to positive operator value measurements. Moreover, this approach naturally leads to a local hidden variable model for Werner states.

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Section: Protocol With a Biased Random Sourcementioning

confidence: 85%

mentioning

confidence: 99%

Simulating quantum correlations as a distributed sampling problem

2005

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“…Now, since ρ(λ|a,b) = ρ(u,v|a), i.e., ρ does not depend on b, one can go from (21) to (22), with ρ(λ) being replaced by ρ(u,v|a). But, as shown in Appendix D, for the present case a,b), which implies that (22), with ρ(λ) → ρ(λ|a), holds as an equality.…”

Section: Leggett Inequalitiesmentioning

confidence: 99%

“…Another approach to one-sided models has been discussed by Degorre et al [20], who-extending a result by Feldmann [21]-relaxed the condition that shared randomness is distributed independently of measurement settings. A biased distribution on Alice's side is assumed.…”

Section: Introductionmentioning

confidence: 99%

Leggett-type model with relaxed measurement independence

Zela

2013

Phys. Rev. A

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We present a Leggett-type model that reproduces quantum correlations for the Bell states. It cannot be falsified through known tests based on Bell-type, Leggett-type, or so-called chained Bell inequalities. The model entails partial suppression of measurement independence (free will) to a fraction of 1/4, as quantified by a recently proposed measure that varies between 0 and 1. This is a consequence of assuming a possible nonlocal relationship between an entangler and one of two measuring stations, thereby differing from the usual nonlocal, Leggett-type models. Furthermore, the model admits arbitrary time ordering for events occurring at two spacelike separated measuring stations. The predicted correlations reproduce the quantum-mechanical ones. Thus, the model is not falsified by so-called before-before tests.

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“…It was shown in [8] that if we define A(x, θ a ) = sign(cos(x − θ a )), B(x, θ b ) = −sign(cos(x − θ b )) and P (x, θ a ) = 1/4| cos(x − θ a )| then,…”

Section: Application To Bell Pairmentioning

confidence: 99%

Towards quantifying non-local information transfer: finite-bit non-locality

Steiner

2000

Physics Letters A

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The advent of Bell's inequalities provoked the possibility that entangled quantum phenomena is non-local in nature. Since teleportation only requires a finite amount of classical information, i.e. two bits, the author asks whether or not it is possible to further characterize the nature of internal correlation in terms of information. Towards this end, the issue of the amount of information that is transferred internally and nonlocally is addressed. There are two possibilities: the amount is infinite or the amount is finite. A partial answer to this problem is given: it is shown that models exist whereby the amount is finite. The EPR-Bell cosine correlation can be reproduced exactly using on average 1.48 bits. The issue of simultaneity and the problems it poses are also examined in this context. Several extensions are suggested. I. BACKGROUNDSince the advent of Bell's inequalities and the subsequent verification of the of the Quantum Mechanical predictions, it is speculated by some that there exists in nature information transfer across large distances that occurs faster then the speed of light, and perhaps, instantaneously. While such information transfer may occur internally to elementary particles, it is widely accepted that internal information transfer cannot be utilized to develop a classical signaling system that transmits external information instantaneously. However, that such

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New loophole for the Einstein-Podolsky-Rosen paradox

Cited by 23 publications

References 12 publications

Simulating quantum correlations as a distributed sampling problem

Simulating quantum correlations as a distributed sampling problem

Leggett-type model with relaxed measurement independence

Towards quantifying non-local information transfer: finite-bit non-locality

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