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arXiv 2302.13299quant-phhep-th
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开放量子系统的辅助量子模拟

Assisted quantum simulation of open quantum systems

Jin-Min Liang, Qiao-Qiao Lv, Zhi-Xi Wang, Shao-Ming Fei

AI总结:

本文提出量子辅助量子算法,利用NISQ设备和参数化量子电路降低通用量子算法电路深度,并通过变分量子态制备方法实现开放量子系统的高效短时演化模拟。

摘要:

在容错量子计算机上实现的通用量子算法(UQA)有望相比经典算法实现指数级加速。然而,深量子电路使得UQA在当前时代难以实现。在仅有含噪中等规模量子(NISQ)设备可用的情况下,我们引入了量子辅助量子算法,该算法通过NISQ技术降低UQA的电路深度。基于该框架,我们提出了两种用于模拟开放量子系统的量子辅助量子算法,它们利用两个参数化量子电路实现短时演化。我们提出了一种变分量子态制备方法,作为制备辅助态的子程序,用于以浅量子电路和对数量子比特数将经典向量加载到量子态中。我们以具有振幅阻尼信道的二能级系统以及两格点耗散横场Ising模型的开放版本为例,数值演示了我们的方法。

英文摘要:

Universal quantum algorithms (UQA) implemented on fault-tolerant quantum computers are expected to achieve an exponential speedup over classical counterparts. However, the deep quantum circuits makes the UQA implausible in the current era. With only the noisy intermediate-scale quantum (NISQ) devices in hand, we introduce the quantum-assisted quantum algorithm, which reduces the circuit depth of UQA via NISQ technology. Based on this framework, we present two quantum-assisted quantum algorithms for simulating open quantum systems, which utilize two parameterized quantum circuits to achieve a short-time evolution. We propose a variational quantum state preparation method, as a subroutine to prepare the ancillary state, for loading a classical vector into a quantum state with a shallow quantum circuit and logarithmic number of qubits. We demonstrate numerically our approaches for a two-level system with an amplitude damping channel and an open version of the dissipative transverse field Ising model on two sites.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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