Journal
PHYSICAL REVIEW A
Volume 88, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.88.042101
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Funding
- National Research Foundation of Korea (NRF)
- Korea government (MEST) [2010-0015059, 2010-0018295]
- Foundation for Polish Science TEAM project
- EU European Regional Development Fund
- NCBiR-CHIST-ERA Project QUASAR
- National Research Foundation
- Ministry of Education, Singapore
- National Research Foundation of Korea [2010-0015059] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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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