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Suppression of decoherence and development of quantum error correcting codes in solid state qubits

固态量子位中退相干的抑制和量子纠错码的开发

基本信息

批准号：
14540346
负责人：
NAKAHARA Mikio
金额：
$ 2.24万
依托单位：
Kinki University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

项目摘要

Nakahara and his Finnish collaborators developed a method for efficient implementation of quantum algorithms utilizing multi-qubit modules. This strategy has been employed for holonomic quantum computation first and subsequently applied to a more realistic Josephson junction qubit system. It has been estimated how many qubits and computational steps are required to factorize 21 using three-qubit modules. Later Tanimura of Osaka City University and Nakahara solved the isoholonomic problem exactly in the idealized siuation, where the relevant fibre bundle is the Stiefel manifold over the Grassmann manifold. This solves the longstanding isoholonomic problem posed by Montgomery in 1991.Nakahara and Kondo built an NMR quantum computer at Kinki University. Nakahara, with Tanimura, obtained time-optimal solutions for quantum algorithms, utilizing the Cartan decomposition of a Lie group, and Kondo executed these solutions on the NMR quantum computer with two-qubit molecules. It was verified experimentally that the NMR spectrum is improved thanks to reductions in execution time and the number of gates. It was also pointed out that a quantum algorithm U may be accelerated by adding a properly chosen simple extra gate W to U so that the algorithm now becomes WU. This is again verified experimentally on the NMR quantum computer and improvement in spectrum has been observed. This technique is called the warp-drive while the gate W is called the warp-gate.Hosoya studied the Hawking radiation in the blackhole spacetime from quantum information point of view and analyzed the entropy change when a measurement instrument is thrown into a blackhole after a measurement is made. He also studied the metric in quantum information geometry.Kuroda analyzed the chemical properties of a single-molecule magnet, Mn12 complex, which might work as a qudit, a quantum system with d states.

中原和他的芬兰合作者开发了一种利用多量子位模块有效实现量子算法的方法。该策略首先用于完整量子计算，随后应用于更现实的约瑟夫森结量子位系统。已经估计了使用三量子位模块分解 21 需要多少量子位和计算步骤。后来大阪市立大学的谷村和中原在理想化的情况下准确地解决了等完整问题，其中相关纤维丛是格拉斯曼流形上的斯蒂菲尔流形。这解决了蒙哥马利在 1991 年提出的长期存在的等完整问题。中原和近藤在近畿大学建造了一台核磁共振量子计算机。中原和谷村利用李群的嘉当分解获得了量子算法的时间最优解决方案，近藤在具有两个量子位分子的核磁共振量子计算机上执行了这些解决方案。实验证实，由于执行时间和门数的减少，NMR 谱得到改善。也有人指出，量子算法 U 可以通过在 U 中添加一个适当选择的简单额外门 W 来加速，这样算法现在就变成了 WU。这在核磁共振量子计算机上再次得到实验验证，并观察到光谱的改善。这种技术被称为曲速驱动，而门W被称为曲速门。细谷从量子信息的角度研究了黑洞时空中的霍金辐射，并分析了测量仪器在测量后被扔进黑洞时的熵变化。他还研究了量子信息几何中的度量。黑田分析了单分子磁体 Mn12 复合体的化学性质，该复合体可能作为 qudit（一种具有 d 态的量子系统）发挥作用。

项目成果

期刊论文数量（42）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

A novel Mn12 single-molecule magnet with a μ3-methanesulfonate bridge

一种具有μ3-甲磺酸桥的新型Mn12单分子磁体

DOI：
发表时间：
2004
期刊：
Chemistry Letters 33
影响因子：
0
作者：
A.Hosoya;T.Buchert;M.Morita;T.Kuroda-Sowa 他6名
通讯作者：
T.Kuroda-Sowa 他6名

Topological vortex formation in a Bose-Einstein condensate under gravitational field

引力场下玻色-爱因斯坦凝聚态拓扑涡旋的形成

DOI：
发表时间：
2004
期刊：
Physical Review A 70
影响因子：
0
作者：
Y. Kawaguchi
通讯作者：
Y. Kawaguchi

A Mn12 single-molecule magnet [Mn12O12(OAc)12(dpp)4] (dppH = diphenyl phosphate) with no coordinating water molecules.

DOI：
10.1021/ic049306n
发表时间：
2004-07
期刊：
Inorganic chemistry
影响因子：
4.6
作者：
Guo-qing Bian;T. Kuroda–Sowa;H. Konaka;Masaki Hatano;M. Maekawa;M. Munakata;H. Miyasaka;M. Yamashita
通讯作者：
Guo-qing Bian;T. Kuroda–Sowa;H. Konaka;Masaki Hatano;M. Maekawa;M. Munakata;H. Miyasaka;M. Yamashita

A Mn12 Single-Molecule Magnet [Mn12012(OAc)12(dpp)4] (dppH =Diphenyl Phosphate) with No Coordinating Water Molecules

无配位水分子的 Mn12 单分子磁体 [Mn12012(OAc)12(dpp)4]（dppH = 磷酸二苯酯）