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This research proposes a distributed quantum amplitude amplification algorithm leveraging fixed-point quantum search, offering reduced qubit counts and circuit depth without requiring quantum communication. The study establishes a general model for integrating these techniques into distributed architectures, demonstrating robustness against noise through Qiskit simulations. These advancements address critical scalability challenges in multi-node quantum systems by optimizing resource usage and operational efficiency.
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Distributed Quantum Computing Based on Fixed-point Quantum Search

arXiv2 min read

arXiv:2510.16498v2 Announce Type: replace Abstract: Fixed-point quantum search can find target strings without knowing their initial success probability and can be applied to the design of distributed quantum algorithms. This paper makes the following contributions to the integration of distributed quantum computing and the fixed-point quantum search: (1) An inherent relationship between a given Boolean function and its sub-functions is discovered. (2) In particular, a distributed quantum amplitude amplification algorithm based on the fixed-point search is proposed. The algorithm has advantages in the number of qubits and circuit depth, requires no quantum communication, and is simulated by means of Qiskit to show good noise resistance. (3) Inspired by the proposed algorithm, a general model for applying the fixed-point quantum search to distributed quantum computing is formulated.

Abstract:Fixed-point quantum search can find target strings without knowing their initial success probability and can be applied to the design of distributed quantum algorithms. This paper makes the following contributions to the integration of distributed quantum computing and the fixed-point quantum search: (1) An inherent relationship between a given Boolean function and its sub-functions is discovered. (2) In particular, a distributed quantum amplitude amplification algorithm based on the fixed-point search is proposed. The algorithm has advantages in the number of qubits and circuit depth, requires no quantum communication, and is simulated by means of Qiskit to show good noise resistance. (3) Inspired by the proposed algorithm, a general model for applying the fixed-point quantum search to distributed quantum computing is formulated.

arXiv:2510.16498 [quant-ph]

(or arXiv:2510.16498v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2510.16498 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 210 words

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