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arXiv quant-ph/0503101quant-ph
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用一维和二维核磁共振谱实现某些量子算法

Spectral implementation of some quantum algorithms by one- and two-dimensional nuclear magnetic resonance

Ranabir Das, Anil Kumar

摘要:

量子信息处理已经通过核磁共振在少量的量子比特上得到了有效的证明。在任何计算中,一个重要的子程序是输出的读出。"光谱实施“最初由Z.L.马迪河Reichweiler和R.R. Ernst [J. Chem. Phys. 109,10603(1999)]提供了一种使用额外的“观察者”量子位的优雅的读出方法。在计算结束时,观察者量子位的检测通过其光谱的多重态结构提供输出。在通过二维实验的“谱实现”中,观察者量子比特在计算期间保留输入状态的记忆,从而在相同的谱中提供关于输入和输出的相关信息。Grover的搜索算法,近似量子计数,Berstein-Vazirani问题的修改版本和Hogg算法的“光谱实现”在这里在三个和四个量子比特系统中演示。

英文摘要:

Quantum information processing has been effectively demonstrated on a small number of qubits by nuclear magnetic resonance. An important subroutine in any computing is the readout of the output. ``Spectral implementation'' originally suggested by Z.L. Madi, R. Bruschweiler and R.R. Ernst, [J. Chem. Phys. 109, 10603 (1999)], provides an elegant method of readout with the use of an extra `observer' qubit. At the end of computation, detection of the observer qubit provides the output via the multiplet structure of its spectrum. In "spectral implementation" by two-dimensional experiment the observer qubit retains the memory of input state during computation, thereby providing correlated information on input and output, in the same spectrum. "Spectral implementation" of Grover's search algorithm, approximate quantum counting, a modified version of Berstein-Vazirani problem, and Hogg's algorithm is demonstrated here in three and four-qubit systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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