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Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters

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Speaker

Dong An(QuICS)

Event Type

RQS Seminar

Related Groups

RQS

Date & Time

April 11, 2024, 10:00am

Where to Attend

PSC 2136 and Virtual Via Zoom

Zoom

This presentation introduces a family of identities that express general linear non-unitary evolution operators as a linear combination of unitary evolution operators, each solving a Hamiltonian simulation problem. This formulation can exponentially enhance the accuracy of the recently introduced linear combination of Hamiltonian simulation (LCHS) method [An, Liu, and Lin, Physical Review Letters, 2023]. For the first time, this approach enables quantum algorithms to solve linear differential equations with both optimal state preparation cost and near-optimal scaling in matrix queries on all parameters.

Coffee and pastries will be served after the talk.