Time-Aware Qubit Assignment and Circuit Optimization for Distributed Quantum Computing

Fuente: arXiv
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Main Authors: Sünkel, Leo, Stein, Jonas, Zorn, Maximilian, Gabor, Thomas, Linnhoff-Popien, Claudia
Format: Preprint
Published: 2025
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author Sünkel, Leo
Stein, Jonas
Zorn, Maximilian
Gabor, Thomas
Linnhoff-Popien, Claudia
author_facet Sünkel, Leo
Stein, Jonas
Zorn, Maximilian
Gabor, Thomas
Linnhoff-Popien, Claudia
contents The emerging paradigm of distributed quantum computing promises a potential solution to scaling quantum computing to currently unfeasible dimensions. While this approach itself is still in its infancy, and many obstacles must still be overcome before its physical implementation, challenges from the software and algorithmic side must also be identified and addressed. For instance, this paradigm shift requires a new form of compiler that considers the network constraints in general as well as phenomena arising due to the nature of quantum communication. In distributed quantum computing, large circuits are divided into smaller subcircuits such that they can be executed individually and simultaneously on multiple QPUs that are connected through quantum channels. As quantum communication, for example, in the form of teleportation, is expensive, it must be used sparingly. We address the problem of assigning qubits to QPUs to minimize communication costs in two different ways. First by applying time-aware algorithms that take into account the changing connectivity of a given circuit as well as the underlying network topology. We define the optimization problem, use simulated annealing and an evolutionary algorithm and compare the results to graph partitioning and sequential qubit assignment baselines. In another approach, we propose an evolutionary-based quantum circuit optimization algorithm that adjusts the circuit itself rather than the schedule to reduce the overall communication cost. We evaluate the techniques against random circuits and different network topologies. Both evolutionary algorithms outperform the baseline in terms of communication cost reduction. We give an outlook on how the approaches can be integrated into a compilation framework for distributed quantum computing.
format Preprint
id arxiv_https___arxiv_org_abs_2507_11707
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Time-Aware Qubit Assignment and Circuit Optimization for Distributed Quantum Computing
Sünkel, Leo
Stein, Jonas
Zorn, Maximilian
Gabor, Thomas
Linnhoff-Popien, Claudia
Quantum Physics
The emerging paradigm of distributed quantum computing promises a potential solution to scaling quantum computing to currently unfeasible dimensions. While this approach itself is still in its infancy, and many obstacles must still be overcome before its physical implementation, challenges from the software and algorithmic side must also be identified and addressed. For instance, this paradigm shift requires a new form of compiler that considers the network constraints in general as well as phenomena arising due to the nature of quantum communication. In distributed quantum computing, large circuits are divided into smaller subcircuits such that they can be executed individually and simultaneously on multiple QPUs that are connected through quantum channels. As quantum communication, for example, in the form of teleportation, is expensive, it must be used sparingly. We address the problem of assigning qubits to QPUs to minimize communication costs in two different ways. First by applying time-aware algorithms that take into account the changing connectivity of a given circuit as well as the underlying network topology. We define the optimization problem, use simulated annealing and an evolutionary algorithm and compare the results to graph partitioning and sequential qubit assignment baselines. In another approach, we propose an evolutionary-based quantum circuit optimization algorithm that adjusts the circuit itself rather than the schedule to reduce the overall communication cost. We evaluate the techniques against random circuits and different network topologies. Both evolutionary algorithms outperform the baseline in terms of communication cost reduction. We give an outlook on how the approaches can be integrated into a compilation framework for distributed quantum computing.
title Time-Aware Qubit Assignment and Circuit Optimization for Distributed Quantum Computing
topic Quantum Physics
url https://arxiv.org/abs/2507.11707