中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90311-090311.doi: 10.1088/1674-1056/19/9/090311

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Implementation of positive-operator-value measurements for single spin qubit via Heisenberg model

Yeon Kyu-Hwang1, 邵晓强2, 程留永3, 张寿3   

  1. (1)BK21 Program Physics & Department of Physics, College of Natural Science, Chungbuk National University, Cheonju, Chungbuk 361-763, Republic of Korea; (2)Center for the Condensed-Matter Science and Technology, Department of Physics, Harbin Institute of Technology, Harbin 150001, China; (3)Department of Physics, College of Science, Yanbian University, Yanji 133002, China
  • 收稿日期:2009-12-02 修回日期:2010-01-18 出版日期:2010-09-15 发布日期:2010-09-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60667001).

Implementation of positive-operator-value measurements for single spin qubit via Heisenberg model

Cheng Liu-Yong(程留永)a), Shao Xiao-Qiang(邵晓强)b), Zhang Shou(张寿)a)†, and Yeon Kyu-Hwangc)   

  1. a Department of Physics, College of Science, Yanbian University, Yanji 133002, China; b Center for the Condensed-Matter Science and Technology, Department of Physics, Harbin Institute of Technology, Harbin 150001, China; c BK21 Program Physics & Department of Physics, College of Natural Science, Chungbuk National University, Cheonju, Chungbuk 361-763, Republic of Korea
  • Received:2009-12-02 Revised:2010-01-18 Online:2010-09-15 Published:2010-09-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60667001).

摘要: This paper shows that a proposal for implementing all possible two-operator positive-operator-value measurements of single spin qubit can be obtained via introducing another spin qubit as ancilla. The realization process is accomplished from the free evolution of the Heisenberg XX model by considering nearest-neighbour spin interaction. A controlled-NOT gate, which is a significant operator for this scheme is also constructed and the generalisation to multiple-operator is considered finally.

Abstract: This paper shows that a proposal for implementing all possible two-operator positive-operator-value measurements of single spin qubit can be obtained via introducing another spin qubit as ancilla. The realization process is accomplished from the free evolution of the Heisenberg XX model by considering nearest-neighbour spin interaction. A controlled-NOT gate, which is a significant operator for this scheme is also constructed and the generalisation to multiple-operator is considered finally.

Key words: positive-operator-value measurements, single spin qubit, Heisenberg model

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