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Quantum Information Processing without Strong Optical Nonlinearity

无强光学非线性的量子信息处理

基本信息

批准号：
15340133
负责人：
IMOTO Nobuyuki
金额：
$ 9.02万
依托单位：
Osaka University (2004)The Graduate University for Advanced Studies (2003)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (B)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2004
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15340133/
关键词：
Quantum Information Processing Linear Optics Quantum Information Processing Quantum Dot Exciton Quantum Game Entanglement Quantum Cryptography Multiparty Quantum Computation 量子光学量子コンピューティング

项目摘要

It has been said that gigantic optical nonlinearity is necessary for realization of quantum information processing. Since 2001, however, it became clear, by theoretical research contribution including our results, that some of quantum information processings are possible using linear optics and practically reasonable magnitude of nonlinear optics.This research deals with the fundamental properties of "linear optics quantum gates" and "light-exciton interaction" as the element of such quantum information processing, and also seek the possibility of "entanglement manipulation" and "quantum game" as the application of such quantum information processing.We obtained a rigorous solution for exciton dynamics under linear and Coulomb interactions between quantum dots. As a result, it became clear that a strong entanglement can be generated between the dots using such interactions. Also, the robustness of even/odd-coherent-state qubits against decoherence and its dot-size dependence have been … More investigated.In order to treat individual proposals of linear optics quantum information processing(LOQIP) in an organized way, We built up a systematic theory for LOQIP. Particularly, the influence of detector imperfections has been taken into account numerically. As a result, it became clear that several information processing can be accomplished with high fidelity using exsisting photon counters.In quantum game theory, we theoretically compared the effects of entanglement and classical correlations on non-cooperative games, and obtained a result that in general entanglement is more influential than classical correlations in changing the phase of games. In comparing this kind of effects, it is necessary that a quantum version of a game should include the original classical game as a special case. According to our research, it became clear that GHZ entanglement can be used for this purpose but W entanglement cannot.An application example of LOQIP is B92 quantum cryptography, whose security under practical imperfection has not been proven in a satisfied way. We theoretically proven the security of B92 protocols and obtained the security conditions versus the magnitude of the imperfections. Less

量子信息处理的实现需要巨大的光学非线性。然而，自2001年以来，通过包括我们的结果在内的理论研究贡献，人们逐渐清楚地认识到，使用线性光学和实际上合理大小的非线性光学可以进行一些量子信息处理。本研究涉及作为这种量子信息处理的要素的"线性光学量子门"和"光-激子相互作用"的基本性质，同时也探索了"纠缠操纵"和"量子博弈"作为这种量子信息处理应用的可能性，得到了量子点间线性相互作用和库仑相互作用下激子动力学的严格解。结果，很明显，使用这种相互作用可以在点之间产生强纠缠。此外，偶/奇相干态量子比特对退相干及其点大小依赖性的鲁棒性已经被研究。 ...更多信息为了有组织地处理线性光学量子信息处理（LOQIP）的个别方案，我们建立了一个系统的LOQIP理论。特别是，探测器的缺陷的影响已被考虑到数值。在量子博弈论中，我们从理论上比较了纠缠和经典关联对非合作博弈的影响，得出了在一般情况下纠缠比经典关联对博弈相位的影响更大的结论。在比较这类效应时，一个量子版本的博弈必须包括最初的经典博弈作为特例。根据我们的研究，我们发现GHZ纠缠可以实现这一目的，而W纠缠不能。LOQIP的一个应用实例是B92量子密码，它在实际缺陷下的安全性尚未得到令人满意的证明。我们从理论上证明了B92协议的安全性，并得到了安全性条件与缺陷大小的关系。少