SCHEDULED MAINTENANCE
On the order problem in construction of unitary operators for the variational quantum eigensolver
Artur F.
Izmaylov, 
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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.
- This article is part of the themed collections: Quantum Computing and Quantum Information Storage and 2020 PCCP HOT Articles
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