Operational quasiprobabilities for quditsopen access
- Authors
- Ryu, Junghee; Lim, James; Hong, Sunghyuk; Lee, Jinhyoung
- Issue Date
- Nov-2013
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW A, v.88, no.5, pp.1 - 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW A
- Volume
- 88
- Number
- 5
- Start Page
- 1
- End Page
- 9
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143663
- DOI
- 10.1103/PhysRevA.88.052123
- ISSN
- 1050-2947
- Abstract
- We propose an operational quasiprobability function for qudits, enabling a comparison between quantum and hidden-variable theories. We show that the quasiprobability function becomes positive semidefinite if consecutive measurement results are described by a hidden-variable model with locality and noninvasive measurability assumed. Otherwise, it is negative valued. The negativity depends on the observables to be measured as well as a given state, as the quasiprobability function is operationally defined. We also propose a marginal quasiprobability function and show that it plays the role of an entanglement witness for two qudits. In addition, we discuss an optical experiment of a polarization qubit to demonstrate its nonclassicality in terms of the quasiprobability function.
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