Qutrit state tomography via optimal unambiguous state discrimination and mutually unbiased measurements
文献类型：期刊论文
| 作者 | Yuan, Hao3,4; Shi, Xuan5,6 ; Han, Lian-Fang1,2
|
| 刊名 | RESULTS IN PHYSICS
 |
| 出版日期 | 2022-03-01 |
| 卷号 | 34页码:4 |
| 关键词 | Quantum state tomography Optimal unambiguous state discrimination Mutually unbiased measurements von Neumann measurements |
| ISSN号 | 2211-3797 |
| DOI | 10.1016/j.rinp.2022.105228 |
| 通讯作者 | Han, Lian-Fang(lianfanghan@ahmu.edu.cn) |
| 英文摘要 | We propose an efficient scheme for qutrit state tomography based on optimal unambiguous discrimination of three nonorthogonal pure qutrit states. In our scheme, we first introduce an ancillary qubit initially prepared in a known state and apply a joint unitary transformation on the whole system composed of a qutrit state and an ancillary qubit state. Afterwards, we make a local von Neumann measurement (VNM) on the ancillary qubit. If it is projected onto the state |0 & rang;, we finally perform mutually unbiased measurements (MUMs) on the collapsed qutrit state arbitrarily chosen from a complete set of four mutually unbiased bases (MUBs). With only six properly-chosen projectors, the real and imaginary parts of non-diagonal elements can be entirely obtained. Together with the diagonal elements obtained directly from one VNM in the computational bases, the density matrix of an arbitrary unknown qutrit state can be fully determined. Compared with the previous work (R. Salazar and A. Delgado 2012), our scheme consumes much less resources. In comparison with MUBs-based tomography scheme (H. Yuan, et al., 2016), our scheme requires more measurements and less projectors, but pays the price of a loss of certain fraction identically prepared states. Our proposal can be extended to the case of other d-dimensional quantum states if their d MUBs are exactly known. |
| 资助项目 | National Natural Science Foun-dation of China[62001006] ; National Natural Science Foun-dation of China[12175001] ; An-hui Provincial Natural Science Foundation, China[2108085MA19] ; Natural Science Foundation of Chongqing, China[cstc2019jcyj-msxmX0387] ; Open Foundation for CAS Key Laboratory of Quantum Information, China[KQI201801] |
| WOS研究方向 | Materials Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000779149400005 |
| 出版者 | ELSEVIER |
| 源URL | [http://119.78.100.138/handle/2HOD01W0/15605]  |
| 专题 | 中国科学院重庆绿色智能技术研究院 |
| 通讯作者 | Han, Lian-Fang |
| 作者单位 | 1.Anhui Med Univ, Sch Biomed Engn, Dept Appl Phys, Hefei 230032, Peoples R China 2.South China Normal Univ, Sch Phys & Telecommun Engn, Guangzhou 510006, Peoples R China 3.Anhui Univ, Informat Mat & Intelligent Sensing Lab Anhui Prov, Hefei 230601, Peoples R China 4.Anhui Univ, Sch Phys & Optoelect Engn, Key Lab Optoelect Informat Acquisit & Manipulat, Minist Educ, Hefei 230601, Peoples R China 5.Chinese Acad Sci, Ctr Quantum Informat Technol, Chongqing Inst Green & Intelligent Technol, Chongqing 400714, Peoples R China 6.Univ Chinese Acad Sci, Coll Artificial Intelligence, Chongqing Sch, Chongqing 400714, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Hao,Shi, Xuan,Han, Lian-Fang. Qutrit state tomography via optimal unambiguous state discrimination and mutually unbiased measurements[J]. RESULTS IN PHYSICS,2022,34:4. |
| APA | Yuan, Hao,Shi, Xuan,&Han, Lian-Fang.(2022).Qutrit state tomography via optimal unambiguous state discrimination and mutually unbiased measurements.RESULTS IN PHYSICS,34,4. |
| MLA | Yuan, Hao,et al."Qutrit state tomography via optimal unambiguous state discrimination and mutually unbiased measurements".RESULTS IN PHYSICS 34(2022):4. |
入库方式： OAI收割
来源：重庆绿色智能技术研究院
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