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题名: Decoherence and relevant universality in quantum algorithms via a dynamic theory for quantum measurement
作者: Sun, CP ;  Zhan, H ;  Liu, XF
刊名: PHYSICAL REVIEW A
出版日期: 1998
卷号: 58, 期号:3, 页码:1810-1821
关键词: WAVE-FUNCTION COLLAPSE ;  ERROR-CORRECTING CODES ;  DISSIPATIVE SYSTEM ;  COMPUTERS ;  COMPUTATION ;  REALIZATION ;  COHERENCE ;  EVOLUTION ;  MODEL ;  LOGIC
学科分类: Physics
通讯作者: Sun, CP , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Beijing Univ, Dept Math, Beijing 100871, Peoples R China
英文摘要: It is well known that environment may decohere a quantum bit (qubit) system immersed in it, making a quantum computation invalid. But the quantitative features of the decoherence seem to depend on both the constitution of the environment and the details of its coupling with the qubit system. In this paper, based on the dynamic approach for quantum measurement developed from the Hepp-Coleman model [K. Hepp, Helv. Phys. Acta 45, 237 (1972)], we generally model the environment as a collection of a large number of subsystems and then consider to what extent and in which way the environment and its coupling with the qubit system may affect a quantum computation process. In the weak-coupling limit, we find that as far as decoherence time is concerned, there is no essential difference between an environment of two-level subsystems and an environment of harmonic oscillators. This implies that there exists some universality independent of specific constitutions of environments. However, it is also shown that this is not true at finite temperature or in the case of strong coupling. So only if the coupling is weak and the temperature low does there exist the possibility of developing a universal scheme of controlling a qubit system such that the decoherence is avoided. The possible effect of environment on the efficiency of a quantum algorithm is also explicitly illustrated through the example of Shor's prime factorization algorithm.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000075730200026
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12270
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Sun, CP,Zhan, H,Liu, XF. Decoherence and relevant universality in quantum algorithms via a dynamic theory for quantum measurement[J]. PHYSICAL REVIEW A,1998,58(3):1810-1821.
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