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This paper gives a transparent, explicit construction of a phase oracle for Grover-style search within measurement-based quantum computing (MBQC), using cluster states that the authors describe as experimentally feasible. Prior MBQC Grover demonstrations often left the oracle implicit, so the value here is the measurement patterns, byproduct correlations, and density-matrix simulations that make the subroutine reproducible and checkable. Readers interested in quantum algorithm design or hardware-agnostic compilation will find it useful, though the results are simulation-based and still need experimental validation.
Performing a Quantum Subroutine Using Cluster States
arXiv:2610.32227v1 Announce Type: new Abstract: Quantum subroutines, like their classical counterparts, serve as essential components of larger algorithms. They can be realized using gate based architectures or measurement based quantum computation (MBQC), where computation proceeds through adaptive measurements on highly entangled cluster states. In this work, we implement a phase oracle as a reusable subroutine within the MBQC framework using experimentally feasible cluster states. Unlike prior demonstrations of Grover's algorithm in MBQC that omit explicit oracle construction, our approach provides a transparent formulation of the oracle subroutine, including its measurement patterns, byproduct correlations, density-matrix simulations, and corresponding MBQC measurement circuits.
Abstract:Quantum subroutines, like their classical counterparts, serve as essential components of larger algorithms. They can be realized using gate based architectures or measurement based quantum computation (MBQC), where computation proceeds through adaptive measurements on highly entangled cluster states. In this work, we implement a phase oracle as a reusable subroutine within the MBQC framework using experimentally feasible cluster states. Unlike prior demonstrations of Grover's algorithm in MBQC that omit explicit oracle construction, our approach provides a transparent formulation of the oracle subroutine, including its measurement patterns, byproduct correlations, density-matrix simulations, and corresponding MBQC measurement circuits.
arXiv:2610.32227 [quant-ph]
(or arXiv:2610.32227v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.32227 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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