Unitary Synthesis with AlphaZero via Dynamic Circuits

Fuente: arXiv
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Auteurs principaux: Valcarce, Xavier, Grivet, Bastien, Sangouard, Nicolas
Format: Preprint
Publié: 2025
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author Valcarce, Xavier
Grivet, Bastien
Sangouard, Nicolas
author_facet Valcarce, Xavier
Grivet, Bastien
Sangouard, Nicolas
contents Unitary synthesis is the process of decomposing a target unitary transformation into a sequence of quantum gates. This is a challenging task, as the number of possible gate combinations grows exponentially with the circuit depth. In this manuscript, we propose an approach using an AlphaZero-inspired reinforcement-learning agent for the exact compilation of unitaries using discrete sets of logic gates. The approach achieves low inference time and proves versatile across different gate sets, and qubit connectivities. Leveraging this flexibility, we explore unitary synthesis with dynamic circuits -- circuits that contain non-unitary operations such as measurements and conditional gates -- and discover unusual implementations of logical quantum gates. Although the direct synthesis of complete algorithms is intractable, our approach is well suited for efficiently synthesizing subroutines. This may have a significant impact when these subroutines are invoked repeatedly during algorithm execution.
format Preprint
id arxiv_https___arxiv_org_abs_2508_21217
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unitary Synthesis with AlphaZero via Dynamic Circuits
Valcarce, Xavier
Grivet, Bastien
Sangouard, Nicolas
Quantum Physics
Unitary synthesis is the process of decomposing a target unitary transformation into a sequence of quantum gates. This is a challenging task, as the number of possible gate combinations grows exponentially with the circuit depth. In this manuscript, we propose an approach using an AlphaZero-inspired reinforcement-learning agent for the exact compilation of unitaries using discrete sets of logic gates. The approach achieves low inference time and proves versatile across different gate sets, and qubit connectivities. Leveraging this flexibility, we explore unitary synthesis with dynamic circuits -- circuits that contain non-unitary operations such as measurements and conditional gates -- and discover unusual implementations of logical quantum gates. Although the direct synthesis of complete algorithms is intractable, our approach is well suited for efficiently synthesizing subroutines. This may have a significant impact when these subroutines are invoked repeatedly during algorithm execution.
title Unitary Synthesis with AlphaZero via Dynamic Circuits
topic Quantum Physics
url https://arxiv.org/abs/2508.21217