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Doubling the efficiency of Hamiltonian simulation via generalized quantum signal processing

Dominic W. Berry*, Danial Motlagh, Giacomo Pantaleoni, Nathan Wiebe

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Quantum signal processing provides an optimal procedure for simulating Hamiltonian evolution on a quantum computer using calls to a block encoding of the Hamiltonian. In many situations it is possible to control between forward and reverse steps with almost identical cost to a simple controlled operation. We show that it is then possible to reduce the cost of Hamiltonian simulation by a factor of 2 using the recent results of generalized quantum signal processing.

Original languageEnglish
Article number012612
Pages (from-to)012612-1-012612-8
Number of pages8
JournalPhysical Review A
Volume110
Issue number1
DOIs
Publication statusPublished - Jul 2024

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