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arXiv 1010.1622quant-phcs.SYeess.SYmath.OC
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在可控系统或子空间上操纵量子信息

Manipulating quantum information on the controllable systems or subspaces

National University of Defense Technology(国防科技大学);AMSS, Chinese Academy of Sciences(中国科学院自动化研究所)

Ming Zhang, Zairong Xi, Jia-Hua Wei

AI总结:

本文通过旋转布洛赫球构造哈密顿控制,利用Bang-Bang、三角函数和二次函数等局域波函数控制操纵量子态,并提出一种时间-能量性能指标以权衡时间和能量资源成本。

摘要:

在本文中,我们探讨如何通过旋转布洛赫球来建设性地操纵量子比特。研究表明,当有两个可调哈密顿控制时,可以构造三旋转和单旋转哈密顿控制来引导量子比特。本研究证明,Bang-Bang、三角函数和二次函数等局域波函数控制可用于在布洛赫球上操纵量子态。提出了一种新的时间-能量性能指标,以权衡时间和能量资源成本,并根据该性能优化控制幅度。进一步举例说明,该思想可推广到在可控子空间上操纵编码量子比特。

英文摘要:

In this paper, we explore how to constructively manipulate qubits by rotating Bloch spheres. It is revealed that three-rotation and one-rotation Hamiltonian controls can be constructed to steer qubits when two tunable Hamiltonian controls are available. It is demonstrated in this research that local-wave function controls such as Bang-Bang, triangle-function and quadratic function controls can be utilized to manipulate quantum states on the Bloch sphere. A new kind of time-energy performance index is proposed to trade-off time and energy resource cost, in which control magnitudes are optimized in terms of this kind of performance. It is further exemplified that this idea can be generalized to manipulate encoded qubits on the controllable subspace.

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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