thestabilizerfornqubitsymmetricstates

	thestabilizerfornqubitsymmetricstates
	Shi Xian
刊名	chinesephysicsb
	2018
卷号	27 期号:10
ISSN号	1674-1056
英文摘要	The stabilizer group for an n-qubit state vertical bar phi > is the set of all invertible local operators (ILO) g = g(1 )circle times g(2) circle times ... g(n), g(i) is an element of L (2,C) such that vertical bar phi > = g vertical bar phi >. Recently, Gour et al. Gour G, Kraus B and Wallach N R 2017 J. Math. Phys. 58 092204 presented that almost all n-qubit states vertical bar psi > own a trivial stabilizer group when n >= 5. In this article, we consider the case when the stabilizer group of an n-qubit symmetric pure state vertical bar psi > is trivial. First we show that the stabilizer group for an n-qubit symmetric pure state vertical bar phi > is nontrivial when n <= 4. Then we present a class of n-qubit symmetric states vertical bar phi > with a trivial stabilizer group when n >= 5. Finally, we propose a conjecture and prove that an n-qubit symmetric pure state owns a trivial stabilizer group when its diversity number is bigger than 5 under the conjecture we make, which confirms the main result of Gour et al. partly.
资助项目	[National Key Research and Development Program of China] ; [National Natural Science Foundation of China] ; [Knowledge Innovation Program of the Chinese Academy of Sciences (CAS)] ; [Institute of Computing Technology of CAS]
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/48344]
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Shi Xian. thestabilizerfornqubitsymmetricstates[J]. chinesephysicsb,2018,27(10).
APA	Shi Xian.(2018).thestabilizerfornqubitsymmetricstates.chinesephysicsb,27(10).
MLA	Shi Xian."thestabilizerfornqubitsymmetricstates".chinesephysicsb 27.10(2018).