An efficient adaptive variational quantum solver of the Schrodinger
equation based on reduced density matrices
- URL: http://arxiv.org/abs/2012.07047v1
- Date: Sun, 13 Dec 2020 12:22:41 GMT
- Title: An efficient adaptive variational quantum solver of the Schrodinger
equation based on reduced density matrices
- Authors: Jie Liu and Zhenyu Li and Jinlong Yang
- Abstract summary: We present an efficient adaptive variational quantum solver of the Schrodinger equation based on ADAPT-VQE.
This new algorithm is quite suitable for quantum simulations of chemical systems on near-term noisy intermediate-scale hardware.
- Score: 8.24048506727803
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Recently, an adaptive variational algorithm termed Adaptive
Derivative-Assembled Pseudo-Trotter ansatz Variational Quantum Eigensolver
(ADAPT-VQE) has been proposed by Grimsley et al. (Nat. Commun. 10, 3007) while
the number of measurements required to perform this algorithm scales O(N^8). In
this work, we present an efficient adaptive variational quantum solver of the
Schrodinger equation based on ADAPT-VQE together with the reduced density
matrix reconstruction approach, which reduces the number of measurements from
O(N^8) to O(N^4). This new algorithm is quite suitable for quantum simulations
of chemical systems on near-term noisy intermediate-scale hardware due to low
circuit complexity and reduced measurement. Numerical benchmark calculations
for small molecules demonstrate that this new algorithm provides an accurate
description of the ground-state potential energy curves. In addition, we
generalize this new algorithm for excited states with the variational quantum
deflation approach and achieve the same accuracy as ground-state simulations.
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