Two-local qubit Hamiltonians: when are they stoquastic?

Joel Klassen, Barbara M. Terhal

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

We examine the problem of determining if a 2-local Hamiltonian is stoquastic by local basis changes. We analyze this problem for two-qubit Hamiltonians, presenting some basic tools and giving a concrete example where using unitaries beyond Clifford rotations is required in order to decide stoquasticity. We report on simple results for n-qubit Hamiltonians with identical 2-local terms on bipartite graphs. Our most significant result is that we give an efficient algorithm to determine whether an arbitrary n-qubit XYZ Heisenberg Hamiltonian is stoquastic by local basis changes.
Original languageEnglish
Pages (from-to)139
Number of pages24
JournalQUANTUM
Volume3
DOIs
Publication statusPublished - 6 May 2019

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