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Quantum Information Processing

A doubly stochastic matrices-based approach to optimal qubit routing

  • 01-07-2023
Published in:
Authors
Nicola Mariella
Sergiy Zhuk
Published in
Quantum Information Processing | Issue 7/2023

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Abstract

The article introduces a novel approach to qubit routing in quantum computing using doubly stochastic matrices (DSM) to optimize the insertion of swap gates. This method aims to minimize the number of swaps and the depth of the resulting circuit, crucial for reducing noise in current NISQ devices. The authors propose a heuristic solver that scales linearly with the circuit depth and outperforms the state-of-the-art SABRE algorithm in terms of circuit depth. The approach leverages the algebraic properties of DSMs and employs a rolling horizon strategy to adaptively optimize the swap insertion process. Experimental results on quantum volume and multi-controlled X gate circuits demonstrate the effectiveness of the method, highlighting its potential for practical quantum circuit compilation.
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next article Deterministic hierarchical quantum operation sharing with five-qubit partially entangled states
Title
A doubly stochastic matrices-based approach to optimal qubit routing
Authors
Nicola Mariella
Sergiy Zhuk
Publication date
01-07-2023
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-023-04023-z
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