Issue 23, 2020

On the order problem in construction of unitary operators for the variational quantum eigensolver

Abstract

One of the main challenges in the variational quantum eigensolver (VQE) framework is construction of the unitary transformation. The dimensionality of the space for unitary rotations of N qubits is 4N − 1, which makes the choice of a polynomial subset of generators an exponentially difficult process. Moreover, due to non-commutativity of generators, the order in which they are used strongly affects results. Choosing the optimal order in a particular subset of generators requires testing the factorial number of combinations. We propose an approach based on the Lie algebra–Lie group connection and corresponding closure relations that systematically eliminates the order problem.

Graphical abstract: On the order problem in construction of unitary operators for the variational quantum eigensolver

Article information

Article type
Paper
Submitted
29 3 2020
Accepted
01 6 2020
First published
01 6 2020

Phys. Chem. Chem. Phys., 2020,22, 12980-12986

On the order problem in construction of unitary operators for the variational quantum eigensolver

A. F. Izmaylov, M. Díaz-Tinoco and R. A. Lang, Phys. Chem. Chem. Phys., 2020, 22, 12980 DOI: 10.1039/D0CP01707H

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