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Cited by 333Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum many-body systems

Valence-bond states for quantum computation

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Verstraete, F., Cirac, J. I.·2004·Physical Review A
DOI 10.1103/physreva.70.060302
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Abstract

We propose a way of universal quantum computation by doing joint measurements on distributed singlets. We show how these joint measurements become local measurements when the singlets are interpreted as the virtual components of a large valence-bond state. This proves the equivalence of the cluster-state-based quantum computational model and the teleportation-based model, and we discuss several features and possible extensions. We show that all stabilizer states have a very simple interpretation in terms of valence-bond solids, which allows to understand their entanglement properties in a transparent way.

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  • The underlying structure of the constructive approach to universal resources for MQC can be described mathematically using matrix-product states or projected-entangled-pairs.

    “The underlying structure of this approach can be described mathematically using the language of matrix-product-states or projected-entangled-pairs 18,86,87 .”

    From Measurement-based quantum computation (2009) · cites this paper as [18]

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Research works printed but not linked: 24

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Related

Authors
Verstraete, F., & Cirac, J. I.
Affiliations
Max Planck Institute of Quantum Optics (DE)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2004-12-14
Volume
70
Issue
6
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.70.060302
OpenAlex
W2078330415
Cited by
333
References
28
Citations by year
2026: 9 · 2025: 14 · 2024: 15 · 2023: 14 · 2022: 14 · 2021: 16 · 2020: 14 · 2019: 6 · 2018: 16 · 2017: 10 · 2016: 12 · 2015: 22 · 2014: 23 · 2013: 21 · 2012: 15
FWCI
17.25
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Ghent University Academic Bibliography (Ghent University) (submittedVersion, other-oa)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • Max Planck Institute for Plasma Physics (submittedVersion)
  • MPG.PuRe (Max Planck Society) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
valence bond states, valence bond solid, universal quantum computation, joint measurement, cluster states, quantum teleportation, stabilizer states, entanglement, local measurements

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