基于对称哈密顿变换的多量子位系统加速量子最优控制

IF 4.2 Q2 QUANTUM SCIENCE & TECHNOLOGY AVS quantum science Pub Date : 2023-10-03 DOI:10.1116/5.0162455
Xian Wang, Mahmut Sait Okyay, Anshuman Kumar, Bryan M. Wong
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引用次数: 1

摘要

我们提出了一种新的,计算效率高的方法来加速各种量子计算应用中使用的大型多量子位系统的量子最优控制计算。利用有限群的固有对称性,可以对希尔伯特空间进行分解,并将哈密顿量块对角化,从而实现极快的量子最优控制计算。我们的方法将n-量子比特系统的哈密顿大小分别从2n×2n降低到O(n×n)或O((2n/n)×(2n/n)),在Sn或Dn对称下。最重要的是,该方法在保持与传统方法相同精度的同时,将量子比特最优控制计算的计算运行时间减少了几个数量级。作为潜在的应用,我们表明(1)对称保护子空间可以成为量子误差抑制和模拟其他量子哈密顿量的潜在平台;(2)Lie-Trotter-Suzuki分解方法可以将我们的方法推广到各种各样的多量子位系统。
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Accelerating quantum optimal control of multi-qubit systems with symmetry-based Hamiltonian transformations
We present a novel, computationally efficient approach to accelerate quantum optimal control calculations of large multi-qubit systems used in a variety of quantum computing applications. By leveraging the intrinsic symmetry of finite groups, the Hilbert space can be decomposed and the Hamiltonians block diagonalized to enable extremely fast quantum optimal control calculations. Our approach reduces the Hamiltonian size of an n-qubit system from 2n×2n to O(n×n) or O((2n/n)×(2n/n)) under Sn or Dn symmetry, respectively. Most importantly, this approach reduces the computational runtime of qubit optimal control calculations by orders of magnitude while maintaining the same accuracy as the conventional method. As prospective applications, we show that (1) symmetry-protected subspaces can be potential platforms for quantum error suppression and simulation of other quantum Hamiltonians and (2) Lie–Trotter–Suzuki decomposition approaches can generalize our method to a general variety of multi-qubit systems.
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9.90
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