论文标题

基于CNOT的离散循环量子步行的概括:门误差的模拟和效果

Generalization of CNOT-based Discrete Circular Quantum Walk: Simulation and Effect of Gate Errors

论文作者

Slimen, Iyed Ben, Gueddana, Amor, Lakshminarayanan, Vasudevan

论文摘要

我们研究了通用量子计算中随机步行的对应物及其使用标准量子电路的实现。最近已经对量子行走进行了很好的研究,以遍历某些牙齿的图形。我们将研究重点放在遍历一个圆圈的1-D图上,并展示如何在使用通用cnot和单个退出门构建的量子电路中实施离散的圆形量子行走。我们回顾基本的量子门和电路分解,并提出了所有基于CNOT的量子离散圆形步行的广义版本。我们在IBM量子超级计算机伦敦IBM-Q上模拟了这些电路,并使用5个Quarbits进行了模拟。这款量子计算机具有基于超导量子位的非完美门,因此我们分析了错误对Walker Circuit的忠诚度的影响。

We investigate the counterparts of random walk in universal quantum computing and their implementation using standard quantum circuits. Quantum walk have been recently well investigated for traversing graphs with certain oracles. We focus our study on traversing a 1-D graph, namely a circle, and show how to implement discrete circular quantum walk in quantum circuits built with universal CNOT and single quit gates. We review elementary quantum gates and circuit decomposition and propose a a generalized version of the all CNOT based quantum discrete circular walk. We simulated these circuits on an IBM quantum supercomputer London IBM-Q with 5 qubits. This quantum computer has non perfect gates based on superconducting qubits, therefore we analyze the impact of errors on the fidelity of the Walker circuit.

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