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arXiv · 1712.07311

Optimising Matrix Product State Simulations of Shor's Algorithm

Aidan Dang·Charles D. Hill·Lloyd C. L. Hollenberg
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Abstract

We detail techniques to optimise high-level classical simulations of Shor's quantum factoring algorithm. Chief among these is to examine the entangling properties of the circuit and to effectively map it across the one-dimensional structure of a matrix product state. Compared to previous approaches whose space requirements depend on $r$, the solution to the underlying order-finding problem of Shor's algorithm, our approach depends on its factors. We performed a matrix product state simulation of a 60-qubit instance of Shor's algorithm that would otherwise be infeasible to complete without an optimised entanglement mapping.

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Aidan Dang, Charles D. Hill, Lloyd C. L. Hollenberg. 2019-01-09. Optimising Matrix Product State Simulations of Shor's Algorithm. https://doi.org/10.22331/q-2019-01-25-116

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