期刊
PHYSICS LETTERS A
卷 379, 期 34-35, 页码 1868-1870出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2015.04.024
关键词
State-independent contextuality set; Noncontextuality inequality; Qutrit
资金
- National Basic Research Program (973 Program) of China [2012CB921900]
- NSFC [11175089, 11475089]
- NRF
- Ministry of Education - Singapore [WBS: R-710-000-008-271]
We present a generalized set of complex rays for a qutrit in terms of parameter q = e(i2 pi/k), a k-th root of unity. Remarkably, when k = 2,3, the set reduces to two well-known state-independent contextuality (SIC) sets: the Yu-Oh set and the Bengtsson-Blanchfield-Cabello set. Based on the Ramanathan-Horodecki criterion and the violation of a noncontextuality inequality, we have proven that the sets with k = 3m and k = 4 are SIC sets, while the set with k = 5 is not. Our generalized set of rays will theoretically enrich the study of SIC proofs, and stimulate the novel application to quantum information processing. (C) 2015 Elsevier B.V. All rights reserved.
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