scholarly journals Quantum contextuality implies a logic that does not obey the principle of bivalence

2018 ◽  
Vol 6 (2) ◽  
pp. 151-159
Author(s):  
Arkady Bolotin
Keyword(s):  
Quantum Contextuality

scholarly journals Indistinguishability and Negative Probabilities

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 829
Author(s):  
J. Acacio de Barros ◽  
Federico Holik
Keyword(s):  
Quantum Systems ◽  
Quantum Contextuality ◽  
No Signaling ◽  
Definition Of ◽  
Do So

In this paper, we examined the connection between quantum systems’ indistinguishability and signed (or negative) probabilities. We do so by first introducing a measure-theoretic definition of signed probabilities inspired by research in quantum contextuality. We then argue that ontological indistinguishability leads to the no-signaling condition and negative probabilities.

scholarly journals Quantum Contextuality and Indeterminacy

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 867
Author(s):  
Gregg Jaeger
Keyword(s):  
Quantum Mechanics ◽  
Hidden Variables ◽  
Equivalence Classes ◽  
Measuring Apparatus ◽  
Classical Physics ◽  
Quantum Contextuality ◽  
Natural Feature ◽  
Classical Models ◽  
Quantum Behavior ◽  
Quantum Observables

The circumstances of measurement have more direct significance in quantum than in classical physics, where they can be neglected for well-performed measurements. In quantum mechanics, the dispositions of the measuring apparatus-plus-environment of the system measured for a property are a non-trivial part of its formalization as the quantum observable. A straightforward formalization of context, via equivalence classes of measurements corresponding to sets of sharp target observables, was recently given for sharp quantum observables. Here, we show that quantum contextuality, the dependence of measurement outcomes on circumstances external to the measured quantum system, can be manifested not only as the strict exclusivity of different measurements of sharp observables or valuations but via quantitative differences in the property statistics across simultaneous measurements of generalized quantum observables, by formalizing quantum context via coexistent generalized observables rather than only its subset of compatible sharp observables. Here, the question of whether such quantum contextuality follows from basic quantum principles is then addressed, and it is shown that the Principle of Indeterminacy is sufficient for at least one form of non-trivial contextuality. Contextuality is thus seen to be a natural feature of quantum mechanics rather than something arising only from the consideration of impossible measurements, abstract philosophical issues, hidden-variables theories, or other alternative, classical models of quantum behavior.

Testing Quantum Contextuality

2015 ◽  
Author(s):  
Jochen Szangolies
Keyword(s):  
Quantum Contextuality

Experimental observation of quantum contextuality beyond Bell nonlocality

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Zheng-Hao Liu ◽  
Hui-Xian Meng ◽  
Zhen-Peng Xu ◽  
Jie Zhou ◽  
Sheng Ye ◽  
...  
Keyword(s):  
Experimental Observation ◽  
Quantum Contextuality ◽  
Bell Nonlocality

scholarly journals Randomness Expansion Secured by Quantum Contextuality

2020 ◽  
Vol 13 (3) ◽  
Author(s):  
Mark Um ◽  
Qi Zhao ◽  
Junhua Zhang ◽  
Pengfei Wang ◽  
Ye Wang ◽  
...  
Keyword(s):  
Quantum Contextuality

scholarly journals Revealing universal quantum contextuality through communication games

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
A. K. Pan
Keyword(s):  
Quantum Theory ◽  
Success Probability ◽  
Quantum Contextuality ◽  
Communication Games ◽  
Qubit System ◽  
Operational Theory ◽  
Universal Quantum ◽  
Local Bound ◽  
Ontological Model ◽  
Non Locality

AbstractAn ontological model of an operational theory is considered to be universally noncontextual if both preparation and measurement noncontextuality assumptions are satisfied in that model. In this report, we first generalize the logical proofs of quantum preparation and measurement contextuality for qubit system for any odd number of preparations and measurements. Based on the logical proof, we derive testable universally non-contextual inequalities violated by quantum theory. We then propose a class of two-party communication games and show that the average success probability of winning such games is solely linked to suitable Bell expression whose local bound is greater than universal non-contextual bound. Thus, for a given state, even if quantum theory does not exhibit non-locality, it may still reveal non-classicality by violating the universal non-contextual bound. Further, we consider a different communication game to demonstrate that for a given choices of observables in quantum theory, even if there is no logical proof of preparation and measurement contextuality exist, the universal quantum contextuality can be revealed through that communication game. Such a game thus test a weaker form of universal non-contextuality with minimal assumption.

Quantum contextuality in neutron interferometer experiments

2006 ◽  
Vol 385-386 ◽  
pp. 1377-1380 ◽  
Author(s):  
Yuji Hasegawa ◽  
Rudolf Loidl ◽  
Matthias Baron ◽  
Gerald Badurek ◽  
Helmut Rauch
Keyword(s):  
Quantum Contextuality ◽  
Neutron Interferometer

Quantum Contextuality in a Single-Neutron Optical Experiment

2006 ◽  
Vol 97 (23) ◽  
Author(s):  
Yuji Hasegawa ◽  
Rudolf Loidl ◽  
Gerald Badurek ◽  
Matthias Baron ◽  
Helmut Rauch
Keyword(s):  
Quantum Contextuality ◽  
Optical Experiment ◽  
Single Neutron
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