Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 40 min ago
PreprintCC BY 4.0arXiv

Performing a Quantum Subroutine Using Cluster States

  • Sakibul Islam Rayhan
  • Karima Hassan
  • Md Rasedujjaman
  • Md Mohsinur Rahman Adnan
Open at sourcePDFDOICite

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.

Related

  1. Asymptotics of Ground States for Helium-Like and Bosonic Atoms in a Two-Cluster Region
    Yukimi Goto
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv
  2. Exact SU(N) symmetry resolution of bosonic Hubbard models: general boson-fermion mappings and flat-band singlet-cluster states
    Loïc Herviou
    HALPreprintCC BY-NC 4.0Full textMathematical physicsAtomic, molecular & optical physicsHALarXiv
  3. Representations of shifted quantum affine algebras and cluster algebras II: Non simply-laced types and cluster expansions
    Christof Geiss, David Hernandez, Bernard Leclerc
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Quantum cluster structures on bosonic extensions
    Yingjin Bi
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  5. From the quantum group Uq1/2( sl̂2 ) to the Kronecker quantum cluster algebra
    Junyuan Huang, Xueqing Chen, Ming Ding +1
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{rayhan2026performing,
  title = {{Performing a Quantum Subroutine Using Cluster States}},
  author = {Sakibul Islam Rayhan and Karima Hassan and Md Rasedujjaman and Md Mohsinur Rahman Adnan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32227},
  eprint = {2610.32227},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32227},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Performing a Quantum Subroutine Using Cluster States
AU  - Sakibul Islam Rayhan
AU  - Karima Hassan
AU  - Md Rasedujjaman
AU  - Md Mohsinur Rahman Adnan
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32227
UR  - https://arxiv.org/abs/2610.32227
AB  - 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.
ER  -