论文标题
fock-schrieffer - 沃尔夫转换：经典的等级降低量子相估计算法
Fock-space Schrieffer--Wolff transformation: classically-assisted rank-reduced quantum phase estimation algorithm
论文作者
论文摘要
我们提出了多体下折叠方法的扩展，以减少量子相估计（QPE）算法中所需的资源。在本文中，我们关注的是Schrieffer-Wolff（SW）电子汉密尔顿（SW）用于分子系统的电子哈密顿量转换，这些分子系统为量子动力学的模拟提供了大量简化量子电路的简化。我们证明，通过采用SW转换的Fock空间变体（或降级相似性转换（RRST））可以显着提高Qubit-mapp的相似性转化的汉密尔顿人的位置。 SW-RRS形式主义的实际利用与手稿中讨论的一系列近似有关。特别是，可以使用常规计算机评估定义RRST的振幅，然后在量子计算机上编码。 The SW-RRST QPE quantum algorithms can also be viewed as an extension of the standard state-specific coupled-cluster downfolding methods to provide a robust alternative to the traditional QPE algorithms to identify the ground and excited states for systems with various numbers of electrons using the same Fock-space representations of the downfolded Hamiltonian.The RRST formalism serves as a design principle for developing new classes of approximate降低量子电路复杂性的方案。
We present an extension of many-body downfolding methods to reduce the resources required in the quantum phase estimation (QPE) algorithm. In this paper, we focus on the Schrieffer--Wolff (SW) transformation of the electronic Hamiltonians for molecular systems that provides significant simplifications of quantum circuits for simulations of quantum dynamics. We demonstrate that by employing Fock-space variants of the SW transformation (or rank-reducing similarity transformations (RRST)) one can significantly increase the locality of the qubit-mapped similarity transformed Hamiltonians. The practical utilization of the SW-RRST formalism is associated with a series of approximations discussed in the manuscript. In particular, amplitudes that define RRST can be evaluated using conventional computers and then encoded on quantum computers. The SW-RRST QPE quantum algorithms can also be viewed as an extension of the standard state-specific coupled-cluster downfolding methods to provide a robust alternative to the traditional QPE algorithms to identify the ground and excited states for systems with various numbers of electrons using the same Fock-space representations of the downfolded Hamiltonian.The RRST formalism serves as a design principle for developing new classes of approximate schemes that reduce the complexity of quantum circuits.
