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arXiv · 1211.4637

Gate-efficient discrete simulations of continuous-time quantum query algorithms

Dominic W. Berry·Richard Cleve·Sevag Gharibian
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Abstract

We show how to efficiently simulate continuous-time quantum query algorithms that run in time T in a manner that preserves the query complexity (within a polylogarithmic factor) while also incurring a small overhead cost in the total number of gates between queries. By small overhead, we mean T within a factor that is polylogarithmic in terms of T and a cost measure that reflects the cost of computing the driving Hamiltonian. This permits any continuous-time quantum algorithm based on an efficiently computable driving Hamiltonian to be converted into a gate-efficient algorithm with similar running time.

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Dominic W. Berry, Richard Cleve, Sevag Gharibian. 2013-04-05. Gate-efficient discrete simulations of continuous-time quantum query algorithms. https://arxiv.org/abs/1211.4637

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