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Decoherence and relevant universality in quantum algorithms via a dynamic theory for quantum measurement
Sun, CP; Zhan, H; Liu, XF; Sun, CP , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
1998
发表期刊PHYSICAL REVIEW A
ISSN1050-2947
卷号58期号:3页码:1810-1821
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.
部门归属Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Beijing Univ, Dept Math, Beijing 100871, Peoples R China
关键词Wave-function Collapse Error-correcting Codes Dissipative System Computers Computation Realization Coherence Evolution Model Logic
学科领域Physics
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收录类别SCI
WOS记录号WOS:000075730200026
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被引频次:43[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12270
专题理论物理所SCI论文
通讯作者Sun, CP , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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Sun, CP,Zhan, H,Liu, XF,et al. Decoherence and relevant universality in quantum algorithms via a dynamic theory for quantum measurement[J]. PHYSICAL REVIEW A,1998,58(3):1810-1821.
APA Sun, CP,Zhan, H,Liu, XF,&Sun, CP , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(1998).Decoherence and relevant universality in quantum algorithms via a dynamic theory for quantum measurement.PHYSICAL REVIEW A,58(3),1810-1821.
MLA Sun, CP,et al."Decoherence and relevant universality in quantum algorithms via a dynamic theory for quantum measurement".PHYSICAL REVIEW A 58.3(1998):1810-1821.
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