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arXiv · 2212.06656

A programming language characterizing quantum polynomial time

Emmanuel Hainry·Romain Péchoux·Mário Silva
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Abstract

We introduce a first-order quantum programming language, named FOQ, whose terminating programs are reversible. We restrict FOQ to a strict and tractable subset, named PFOQ, of terminating programs with bounded width, that provides a first programming language-based characterization of the quantum complexity class FBQP. Finally, we present a tractable semantics-preserving algorithm compiling a PFOQ program to a quantum circuit of size polynomial in the number of input qubits.

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Emmanuel Hainry, Romain Péchoux, Mário Silva. 2022-12-13. A programming language characterizing quantum polynomial time. https://arxiv.org/abs/2212.06656

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