Noncyclic geometric quantum computation with shortcut to adiabaticity

Noncyclic geometric quantum computation with shortcut to adiabaticity
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具有绝热性捷径的非循环几何量子计算

DOI:
10.1103/physreva.101.022330
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发表时间:
2019-03
期刊:
影响因子:
2.9
通讯作者:
Du Yan-Xiong
Du Yan-Xiong
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Lv Qing-Xian;Liang Zhen-Tao;Liu Hong-Zhi;Liang Jia-Hao;Liao Kai-Yu;Du Yan-Xiong

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快速、鲁棒的量子门是容错量子计算的基石。本文提出了一种基于非循环几何演化的量子门实现方法。自旋回波过程抵消了演化过程中的动力学相位,绝热控制可以通过绝热的捷径来加速。与基于循环演化的几何门不同,非循环方案的优越性在于运算时间与量子态的旋转角度(而非几何相位)成正比。因此,在具有小旋转角的量子门的情况下,非循环方案变得相当快,这将对退相干和泄漏到计算基之外的状态更不敏感。由于投影希尔伯特空间的几何特性,该方案对随机噪声也具有鲁棒性。由于改进后的方法具有快速、鲁棒性强的特点,特别适合于对弱非线性物理系统(如超导系统)的操纵。
Fast and robust quantum gates is the cornerstone of fault-tolerance quantum computation. In this paper, we propose to achieve quantum gates based on non-cyclic geometric evolution. Dynamical phase during the evolution is cancelled by spin-echo process and the adiabatic control can be sped up through shortcut to adiabatic manner. Different from geometric gates based on cyclic evolution, the superiority of non-cyclic scheme is that the operation time is proportional to the rotation angle (but not the geometric phase) of quantum state. Therefore, the non-cyclic scheme becomes fairly fast in the case of quantum gates with small rotation angle which will be more insensitive to the decoherence and leakage to the states outside the computational basis. The proposed scheme is also robust against random noise due to the geometric characteristic of projective Hilbert space. Since the refined proposed scheme is fast and robust, it is an particularly suitable way to manipulate the physical systems with weak nonlinearity, such as superconucting systems.
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