Quantum Physics


Refutation of an Adaptive Algorithm for Molecular Simulation on Quantum Computers

Authors: Colin James III

We evaluate “a unitary variant of coupled cluster theory (UCCSD) [as] defined by replacing the excitation operators with an anti-Hermitian sum of excitation and de-excitation operators”. It is not tautologous, hence refuting the subsequent sections for the ADAPT-VQE algorithm, molecular dissociation simulation results, and dependence of convergence on operator ordering. The conjecture of the paper is refuted from its abstract as: “an arbitrarily accurate variational algorithm that instead of fixing an ansatz upfront, … grows it systematically one operator at a time in a way dictated by the molecule being simulated … [to] highlight the potential of our adaptive algorithm for exact simulations with present-day and near-term quantum hardware.” These equations form a non tautologous fragment of the universal logic VŁ4.

Comments: 2 Pages. Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at ersatz-systems.com.

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Submission history

[v1] 2019-09-11 19:56:19

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