Greenberger-Horne-Zeilinger theorem for N quditsopen access
- Authors
- Ryu, Junghee; Lee, Changhyoup; Zukowski, Marek; Lee, Jinhyoung
- Issue Date
- Oct-2013
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW A, v.88, no.4, pp.1 - 5
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW A
- Volume
- 88
- Number
- 4
- Start Page
- 1
- End Page
- 5
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143671
- DOI
- 10.1103/PhysRevA.88.042101
- ISSN
- 1050-2947
- 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.
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