Quantum phase processing and its applications in estimating phase and entropies
发布时间：2023-11-07点击次数：
- 发表刊物：Physical Review A
- 摘要：Quantum computing can provide speedups in solving many problems as the evolution of a quantum system is described by a unitary operator in an exponentially large Hilbert space. Such unitary operators change the phase of their eigenstates and make quantum algorithms fundamentally different from their classical counterparts. Based on this unique principle of quantum computing, we develop a new algorithmic toolbox "quantum phase processing’’ that can directly apply arbitrary trigonometric transformations to eigenphases of a unitary operator. The quantum phase processing circuit is constructed simply, consisting of single-qubit rotations and controlled-unitaries, typically using only one ancilla qubit. Besides the capability of phase transformation, quantum phase processing in particular can extract the eigen-information of quantum systems by simply measuring the ancilla qubit, making it naturally compatible with indirect measurement. Quantum phase processing complements another powerful framework known as quantum singular value transformation and leads to more intuitive and efficient quantum algorithms for solving problems that are particularly phase-related. As a notable application, we propose a new quantum phase estimation algorithm without quantum Fourier transform, which requires the fewest ancilla qubits and matches the best performance so far. We further exploit the power of our method by investigating a plethora of applications in Hamiltonian simulation, entanglement spectroscopy and quantum entropies estimation, demonstrating improvements or optimality for almost all cases.
- 论文类型：期刊论文
- 是否译文：否
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王友乐
个人信息
- 教师姓名： 王友乐
- 性别： 男
- 所在单位： 软件学院
- 学历： 博士研究生毕业
- 学位：工学博士学位
- 在职信息： 在岗
- 职称： 讲师（高校）
- 毕业院校：悉尼科技大学
曾获荣誉
- 江苏省应用技术学会青年科技奖
- 悉尼量子学院博士奖学金
- 2023 年中国物理学会 - MindSpore Quantum 学术奖励基金
其他联系方式
- 通讯/办公地址: 南信大临江楼A1108
- 移动电话: 18860848606
- 邮箱: youlew@foxmail.com
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