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Doubling Efficiency of Hamiltonian Simulation via Generalized Quantum Signal Processing

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arxiv 2401.10321 v1 pith:DPNBQFQK submitted 2024-01-18 quant-ph

Dominic W. Berry , Danial Motlagh , Giacomo Pantaleoni , Nathan Wiebe This is my paper · ORCID
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keywords hamiltonianquantumprocessingsignalcostpossiblesimulationalmost
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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 generalised quantum signal processing.

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