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29 March 2024 |
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Quantum nonlocality does not demand all-out randomness in measurement choice | Manik Banik
; Samir Kunkri
; Avijit Misra
; Some Sankar Bhattacharya
; Arup Roy
; Amit Mukherjee
; Sibasish Ghosh
; Guruprasad Kar
; | Date: |
17 Jul 2017 | Abstract: | Nonlocality is the most characteristic feature of quantum mechanics. John
Bell, in his seminal 1964 work, proved that local-realism imposes a bound on
the correlations among the measurement statistics of distant observers.
Surpassing this bound rules out local-realistic description of microscopic
phenomena, establishing the presence of nonlocal correlation. To manifest
nonlocality, it requires, in the simplest scenario, two measurements performed
randomly by each of two distant observers. In this work, we propose a novel
framework where three measurements, two on Alice’s side and one on Bob’s side,
suffice to reveal quantum nonlocality and hence does not require all-out
randomness in measurement choice. Our method relies on a very naive operational
task in quantum information theory, namely, the minimal error state
discrimination. As a practical implication this method constitutes an
economical entanglement detection scheme, which uses a less number of entangled
states compared to all such existing schemes. Moreover, the method applies to
class of generalized probability theories containing quantum theory as a
special example. | Source: | arXiv, 1707.5339 | Services: | Forum | Review | PDF | Favorites |
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