Two-qubit pure state tomography by five product orthonormal bases | |
Wang, Yu1,2; Shang, Yun1,2,3,4 | |
2018-10-01 | |
Source Publication | CHINESE PHYSICS B |
ISSN | 1674-1056 |
Volume | 27Issue:10Pages:6 |
Abstract | In this paper, we focus on two-qubit pure state tomography. For an arbitrary unknown two-qubit pure state, separable or entangled, it has been found that the measurement probabilities of 16 projections onto the tensor products of Pauli eigenstates are enough to uniquely determine the state. Moreover, these corresponding product states are arranged into five orthonormal bases. We design five quantum circuits, which are decomposed into the common gates in universal quantum computation, to simulate the five projective measurements onto these bases. At the end of each circuit, we measure each qubit with the projective measurement {vertical bar 0 > < 0,vertical bar 1 >< 1}. Then, we consider the open problem whether three orthonormal bases are enough to distinguish all two-qubit pure states. A necessary condition is given. Suppose that there are three orthonormal bases {B-1, B-2,B-3}. Denote the unitary transition matrices from B-1 to {B-2, B-3} as U-1 and U-2. All 32 elements of matrices U-1 and U-2 should not be zero. If not, these three bases cannot distinguish all two-qubit pure states. |
DOI | 10.1088/1674-1056/27/10/100306 |
Language | 英语 |
Funding Project | National Key Research and Development Program of China[2016YFB1000902] ; National Natural Science Foundation of China[61472412] ; Program for Creative Research Group of the National Natural Science Foundation of China[61621003] |
WOS Research Area | Physics |
WOS Subject | Physics, Multidisciplinary |
WOS ID | WOS:000448161600001 |
Publisher | IOP PUBLISHING LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31329 |
Collection | 数学所 |
Corresponding Author | Shang, Yun |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, MDIS, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Wang, Yu,Shang, Yun. Two-qubit pure state tomography by five product orthonormal bases[J]. CHINESE PHYSICS B,2018,27(10):6. |
APA | Wang, Yu,&Shang, Yun.(2018).Two-qubit pure state tomography by five product orthonormal bases.CHINESE PHYSICS B,27(10),6. |
MLA | Wang, Yu,et al."Two-qubit pure state tomography by five product orthonormal bases".CHINESE PHYSICS B 27.10(2018):6. |
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