Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism
文献类型：期刊论文
| 作者 | Aurell, E1,2 |
| 刊名 | JOURNAL OF STATISTICAL PHYSICS
 |
| 出版日期 | 2018 |
| 卷号 | 171期号:5页码:745-767 |
| 关键词 | COMPUTERS SUPREMACY MEMORIES DYNAMICS SYSTEMS |
| ISSN号 | 0022-4715 |
| DOI | 10.1007/s10955-018-2037-6 |
| 英文摘要 | The operation of a quantum computer is considered as a general quantum operation on a mixed state on many qubits followed by a measurement. The general quantum operation is further represented as a Feynman-Vernon double path integral over the histories of the qubits and of an environment, and afterward tracing out the environment. The qubit histories are taken to be paths on the two-sphere as in Klauder's coherent-state path integral of spin, and the environment is assumed to consist of harmonic oscillators initially in thermal equilibrium, and linearly coupled to to qubit operators . The environment can then be integrated out to give a Feynman-Vernon influence action coupling the forward and backward histories of the qubits. This representation allows to derive in a simple way estimates that the total error of operation of a quantum computer without error correction scales linearly with the number of qubits and the time of operation. It also allows to discuss Kitaev's toric code interacting with an environment in the same manner. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22892]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Aalto Univ, Dept Appl Phys & Comp Sci, POB 11100, Aalto 00076, Finland 2.KTH Royal Inst Technol, Dept Computat Sci & Technol, AlbaNova Univ Ctr, S-10691 Stockholm, Sweden 3.Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Aurell, E. Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism[J]. JOURNAL OF STATISTICAL PHYSICS,2018,171(5):745-767. |
| APA | Aurell, E.(2018).Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism.JOURNAL OF STATISTICAL PHYSICS,171(5),745-767. |
| MLA | Aurell, E."Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism".JOURNAL OF STATISTICAL PHYSICS 171.5(2018):745-767. |
入库方式： OAI收割
来源：理论物理研究所
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