Algebraic Compression of Quantum Circuits for Hamiltonian Evolution
Algebraic Compression of Quantum Circuits for Hamiltonian Evolution
复制标题
哈密顿演化的量子电路的代数压缩
作者：
Efekan Kökcü;Daan Camps;Lindsay Bassman;J. Freericks;W. A. Jong;R. Beeumen;A. Kemper
含时哈密顿量下的么正演化是量子硬件模拟的重要组成部分。合成相应的量子电路通常是通过将进化分解成小的时间步长来完成的，也就是众所周知的旋转化，这导致电路的深度与步数成比例。当电路元素被限制到SU(4)的一个子集时--或者等价地，当哈密顿量可以被映射到自由费米子模型上--存在几个组合和简化电路的恒等式。在此基础上，我们提出了一种将Trotter步长压缩为单个量子门块的算法。这导致了某些类哈密顿量的固定深度时间演化。我们明确地展示了该算法对几个自旋模型的工作原理，并演示了它在横场伊辛模型的绝热态制备中的应用。
Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. Synthesizing the corresponding quantum circuit is typically done by breaking the evolution into small time steps, also known as Trotterization, which leads to circuits whose depth scales with the number of steps. When the circuit elements are limited to a subset of SU(4) -- or equivalently, when the Hamiltonian may be mapped onto free fermionic models -- several identities exist that combine and simplify the circuit. Based on this, we present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians. We explicitly show how this algorithm works for several spin models, and demonstrate its use for adiabatic state preparation of the transverse field Ising model.
影响因子：
6.4
作者：
Preskill, John
通讯作者：
Preskill, John