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Sun, CP; Zhan, H; Liu, XF; Sun, CP , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Decoherence and relevant universality in quantum algorithms via a dynamic theory for quantum measurement
Source PublicationPHYSICAL REVIEW A
KeywordWave-function Collapse Error-correcting Codes Dissipative System Computers Computation Realization Coherence Evolution Model Logic
AbstractIt 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.
1998
ISSN1050-2947
Volume58Issue:3Pages:1810-1821
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:43[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12270
Collection理论物理所科研产出_SCI论文
Corresponding AuthorSun, CP , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
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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