Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
- Title
- Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
- Author
- 권영헌
- Keywords
- contextuality; ontological model; minimum error discrimination
- Issue Date
- 2021-11
- Publisher
- MDPI
- Citation
- ENTROPY, v. 23, NO 1583, Page. 1-9
- Abstract
- Recently, Schmid and Spekkens studied the quantum contextuality in terms of state discrimination. By dealing with the minimum error discrimination of two quantum states with identical
prior probabilities, they reported that quantum contextual advantage exists. Meanwhile, if one notes
a striking observation that the selection of prior probability can affect the quantum properties of the
system, it is necessary to verify whether the quantum contextual advantage depends on the prior
probabilities of the given states. In this paper, we consider the minimum error discrimination of
two states with arbitrary prior probabilities, in which both states are pure or mixed. We show that
the quantum contextual advantage in state discrimination may depend on the prior probabilities of
the given states. In particular, even though the quantum contextual advantage always exists in the
state discrimination of two nonorthogonal pure states with nonzero prior probabilities, the quantum
contextual advantage depends on prior probabilities in the state discrimination of two mixed states.
- URI
- https://www.proquest.com/docview/2612772684?accountid=11283https://repository.hanyang.ac.kr/handle/20.500.11754/169627
- ISSN
- 10994300
- DOI
- 10.3390/e23121583
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED PHYSICS(응용물리학과) > Articles
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