Quantum phase estimation and quantum counting with qudits

Quantum phase estimation and quantum counting with qudits
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DOI:
10.1103/physreva.94.042307
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发表时间:
2016-10
期刊:
影响因子:
2.9
通讯作者:
H. S. Tonchev;N. Vitanov
H. S. Tonchev;N. Vitanov
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
H. S. Tonchev;N. Vitanov

文献摘要

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提出了使用 qudits 实现量子相位估计和量子计数算法。详细描述了算法基本构建模块的构造,并对具有量子位和量子点的量子计数算法的保真度进行了数值模拟。随着目标寄存器大小的指数级增长,使用 qudit 进行的模拟表明,找到解决方案数量的概率明显高于量子位,并且对于不同数量的解决方案,性能也更加一致。
Implementations of the quantum phase estimation and quantum counting algorithms with qudits are proposed. The construction of the basic building blocks of the algorithms is described in detail and the fidelity of the quantum counting algorithm with qubits and qudits is simulated numerically. Along with the exponential increase of the size of the target register, the simulations with qudits demonstrate significantly higher probability of finding the number of solutions than qubits and more consistent performance for a different number of solutions.