中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3215-3220.doi: 10.1088/1674-1056/18/8/020

• GENERAL • 上一篇    下一篇

The remote implementation of all possible generalized quantum measurement on single atomic qubit in a quantum network

韩阳, 吴春旺, 吴伟, 陈平形, 李承祖   

  1. College of Science, National University of Defense Technology, Changsha 410073, China
  • 收稿日期:2008-09-22 修回日期:2008-12-24 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10774192) and the Fund of Innovation of the Graduate School of National University of Defense Technology (Grant No B080201).

The remote implementation of all possible generalized quantum measurement on single atomic qubit in a quantum network

Han Yang(韩阳)†, Wu Chun-Wang(吴春旺), Wu Wei(吴伟), Chen Ping-Xing(陈平形), and Li Cheng-Zu(李承祖)   

  1. College of Science, National University of Defense Technology, Changsha 410073, China
  • Received:2008-09-22 Revised:2008-12-24 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10774192) and the Fund of Innovation of the Graduate School of National University of Defense Technology (Grant No B080201).

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摘要： To implement generalized quantum measurement (GQM) one has to extend the original Hilbert space. Generally speaking, the additional dimensions of the ancilla space increase as the number of the operators of the GQM n increases. This paper presents a scheme for deterministically implementing all possible n-operator GQMs on a single atomic qubit by using only one 2-dimensional ancillary atomic qubit repeatedly, which remarkably reduces the complexity of the realistic physical system. Here the qubit is encoded in the internal states of an atom trapped in an optical cavity and single-photon pulses are employed to provide the interaction between qubits. It shows that the scheme can be performed remotely, and thus it is suitable for implementing GQM in a quantum network. What is more, the number of the total ancilla dimensions in our scheme achieves the theoretic low bound.

Abstract: To implement generalized quantum measurement (GQM) one has to extend the original Hilbert space. Generally speaking, the additional dimensions of the ancilla space increase as the number of the operators of the GQM n increases. This paper presents a scheme for deterministically implementing all possible n-operator GQMs on a single atomic qubit by using only one 2-dimensional ancillary atomic qubit repeatedly, which remarkably reduces the complexity of the realistic physical system. Here the qubit is encoded in the internal states of an atom trapped in an optical cavity and single-photon pulses are employed to provide the interaction between qubits. It shows that the scheme can be performed remotely, and thus it is suitable for implementing GQM in a quantum network. What is more, the number of the total ancilla dimensions in our scheme achieves the theoretic low bound.

Key words: generalized quantum measurement, single atomic qubit, cavity-QED

中图分类号:  (Quantum computation architectures and implementations)

  • 03.67.Lx
03.65.Fd (Algebraic methods) 03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.65.Ud (Entanglement and quantum nonlocality) 42.50.Dv (Quantum state engineering and measurements)