Geometric extension of Clauser-Horne inequality to more qubits
- Title
- Geometric extension of Clauser-Horne inequality to more qubits
- Author
- 이진형
- Keywords
- geometric multiparty extension; CHinequality; Kolmogorov theory
- Issue Date
- 2018-09
- Publisher
- IOP PUBLISHING LTD
- Citation
- NEW JOURNAL OF PHYSICS, v. 20, Article no. 093006
- Abstract
- We propose a geometric multiparty extension of Clauser-Horne (CH) inequality. The standard CH inequality can be shown to be an implication of the fact that statistical separation between two events, A and B, defined as P (A circle plus B), where A circle plus B = (A - B) boolean OR (B - A), satisfies the axioms of a distance. Our extension for tripartite case is based on triangle inequalities for the statistical separations of three probabilistic events P (A circle plus B circle plus C). We show that Mermin inequality can be retrieved from our extended CH inequality for three subsystems in a particular scenario. With our tripartiteCH inequality, we investigate quantum violations by GHZ-type and W-type states. Our inequalities are compared to another type, so- called N-site CH inequality. In addition we argue how to generalize our method for more subsystems and measurement settings. Our method can be used to write down several Bell-type inequalities in a systematic manner.
- URI
- https://iopscience.iop.org/article/10.1088/1367-2630/aadc78https://repository.hanyang.ac.kr/handle/20.500.11754/120032
- ISSN
- 1367-2630
- DOI
- 10.1088/1367-2630/aadc78
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > PHYSICS(물리학과) > Articles
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