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您的检索式：作者名="Simon C.Benjamin"
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| 1 | 线性代数的量子变分算法显示文摘量子算法可用于高效解决线性代数问题.然而,对于一般的线性代数问题,通常需要深层量子线路和容错量子计算机,这就超出了现有的技术水平.本文提出变分量子算法来解决线性代数问题,可兼容中等规模含噪声量子器件.解线性方程组和矩阵乘法问题可以被转换为解有效哈密顿量的基态问题.基于变分算法,结合绝热演化的思想,作者采用自适应线路拟设来求解基态问题,并给出了求解的验证判据.另外,通过数值方法可对该算法的实用性和资源估计进行分析和验证.本文算法在IBM量子云平台机器进行了实验验证,求解达到了99.95%的保真度.研究表明本文提出的量子算法适用于稀疏矩阵的求解问题,可用于机器学习和优化等问题.其中矩阵乘法问题可用于量子演化和开放系统演化等量子模拟问题. | 徐晓思 孙金钊 Endo Suguru 李颖 Simon C.Benjamin 袁骁 | 2021 | Science Bulletin2021，66，21： | 1 |
| 2 | Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits显示文摘Quantum error correction is an essential ingredient for universal quantum computing.D espite tremendous experimental efforts in the study of quantum error correction,to date,there has been no demonstration in the realis ation of universal quantum error-correcting code,with the subsequent verification of all key features including the identification of an arbitrary physical error,the capability for transversal manipulation of the logical state and state decoding.To address this challenge,we experimentally realise the [5,1,3]code,the so-called smallest perfect code that permits corrections of generic single-qubit errors.In the experiment,having optimised the encoding circuit,we employ an array of superconducting qubits to realise the [5,1,3] code for several typical logical states including the magic state,an indispensable resource for realising non-Clifford gates.The encoded states are prepared with an average fidelity of 57.1(3)% while with a high fidelity of 98.6(1)% in the code space.Then,the arbitrary single-qubit errors introduced manually are identified by measuring the stabilisers.We further implement logical Pauli operations with a fidelity of 97.2(2)% within the code space.Finally,we realise the decoding circuit and recover the input state with an overall fidelity of 74.5(6)%,in total with 92 gates.Our work demonstrates each key aspect of the [5,1,3] code and verifies the viability of experimental realisation of quantum error-correcting codes with superconducting qubits. | Ming Gong Xiao Yuan Shiyu Wang Yulin Wu Youwei Zhao Chen Zha Shaowei Li Zhen Zhang Qi Zhao Yunchao Liu Futian Liang Jin Lin Yu Xu Hui Deng Hao Rong He Lu Simon C.Benjamin Cheng-Zhi Peng Xiongfeng Ma Yu-Ao Chen Xiaobo Zhu Jian-Wei Pan | 2022 | National Science Review2022，9，1： | 1 |
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