Greenberger-Horne-Zeilinger theorem for N qudits
- Title
- Greenberger-Horne-Zeilinger theorem for N qudits
- Author
- 이진형
- Keywords
- HIDDEN-VARIABLE THEORIES; QUANTUM ENTANGLEMENT; CRYPTOGRAPHY; INEQUALITIES; MECHANICS; STATES
- Issue Date
- 2013-10
- Publisher
- AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
- Citation
- PHYSICAL REVIEW A, 2013, 88(4), P.042101-, 5쪽
- Abstract
- We generalize Greenberger-Horne-Zeilinger (GHZ) theorem to an arbitrary number of D-dimensional systems. Contrary to conventional approaches using compatible composite observables, we employ incompatible and concurrent observables, whose common eigenstate is still a generalized GHZ state. It is these concurrent observables which enable one to prove a genuinely N-partite and D-dimensional GHZ theorem. Our principal idea is illustrated for a four-partite system with D which is an arbitrary multiple of 3. By extending to N qudits, we show that GHZ theorem holds as long as N is not divisible by all nonunit divisors of D, smaller than N.
- URI
- http://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.042101http://hdl.handle.net/20.500.11754/44592
- ISSN
- 1050-2947
- DOI
- 10.1103/PhysRevA.88.042101
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > PHYSICS(물리학과) > Articles
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