A complementary relation between classical bits and randomness in local part in the simulating singlet state

Kar, Guruprasad; Gazi, Md. Rajjak; Banik, Manik; Das, Santabrata; Rai, Ashutosh; Kunkri, Samir

doi:10.1088/1751-8113/44/15/152002

Cited by 16 publications

(21 citation statements)

References 8 publications

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“…The complementarity between signaling and randomness in the context of nonlocality [60], based on techniques developed in [61], and first conjectured in [62,63], can be formulated analogously for contextuality, reported elsewhere. Similarly, one may consider the single-system analog of device-independent quantum cryptography [64][65][66][67], based on contextuality inequalities [68].…”

Section: Inputmentioning

confidence: 99%

On the origin of nonclassicality in single systems

Aravinda

Srikanth

Pathak

2017

J. Phys. A: Math. Theor.

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In the framework of certain general probability theories of single systems, we identify various nonclassical features such as incompatibility, multiple pure-state decomposability, measurement disturbance, no-cloning and the impossibility of certain universal operations, with the non-simpliciality of the state space. This is shown to naturally suggest an underlying simplex as an ontological model. Contextuality turns out to be an independent nonclassical feature, arising from the intransitivity of compatibility.

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Section: Inputmentioning

confidence: 99%

On the origin of nonclassicality in single systems

Aravinda

Srikanth

Pathak

2017

J. Phys. A: Math. Theor.

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“…A dierent way for quantifying the random choice was provided by [92,93] (see also [94]). Reconsidering Eq.…”

Section: Random Choicementioning

confidence: 99%

Entanglement and Quantum non-locality: an experimental perspective

Avella

Gramegna

2013

EPJ Web of Conferences

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Abstract.The theory of Quantum Mechanics is one of the mainstay of modern physics, a wellestablished mathematical clockwork whose strength and accuracy in predictions are currently experienced in worldwide research laboratories. As a matter of fact, Quantum Mechanics laid the groundwork of a rich variety of studies ranging from solid state physics to cosmology, from bio-physics to particle physics. The up-to-date ability of manipulating single quantum states is paving the way for emergent quantum technologies as quantum information and computation, quantum communication, quantum metrology and quantum imaging. In spite of the impressive matemathical capacity, a long-standing debate is even revolving around the foundational axioms of this theory, the main bones of content being the non-local eects of entangled states, the wave function collapse and the concept of measurement in Quantum Mechanics, the macro-objectivation problem (the transition from a microscopic probabilistic world to a macroscopic deterministic world described by classical mechanics). Problems that, beyond their fundamental interest in basic science, now also concern the impact of these developing technologies. Without claiming to be complete, this article provides in outline the living matter concerning some of these problems, the implications of which extend deeply on the connection between entanglement and space-time structure.

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“…Later in [3], it has been shown that Bell's locality condition can be thought of as a conjunction of two independent conditions namely outcome independence and parameter independence, popularly called no signaling, which restricts instantaneous communication between two spatially separated locations. In recent times, lots of interest have been found in simulating nonlocal correlations by violating these assumptions individually or collectively [4][5][6][7]; and in particular for singlet state correlation there exists several interesting simulation protocols [8][9][10][11][12][13]. Please note, in Bell scenario any nonlocal correlation can be simulated by violating only the no signaling assumption (i.e.…”

Section: Introductionmentioning

confidence: 99%

Lack of measurement independence can simulate quantum correlations even when signaling can not

Banik

2013

Phys. Rev. A

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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 measurement settings. Recently, Bell scenario has been generalized into 'semi-quantum' scenario where external quantum inputs are provided to the parties. We show that in 'semi-quantum' scenario, entangled states produce correlations whose deterministic explanation is possible only if measurement independence is reduced. Thus in simulating quantum correlation 'semi-quantum' scenario reveals a qualitative distinction between signaling and measurement dependence which is absent in Bell scenario. We further show that such distinction is not observed in 'steering game' scenario, a special case of 'semi-quantum' scenario.

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A complementary relation between classical bits and randomness in local part in the simulating singlet state

Cited by 16 publications

References 8 publications

On the origin of nonclassicality in single systems

On the origin of nonclassicality in single systems

Entanglement and Quantum non-locality: an experimental perspective

Lack of measurement independence can simulate quantum correlations even when signaling can not

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