Novel Schemes for Measurement-Based Quantum Computation
Open accessAbstract
We establish a framework which allows one to construct novel schemes for measurement-based quantum computation. The technique develops tools from many-body physics-based on finitely correlated or projected entangled pair states-to go beyond the cluster-state based one-way computer. We identify resource states radically different from the cluster state, in that they exhibit nonvanishing correlations, can be prepared using nonmaximally entangling gates, or have very different local entanglement properties. In the computational models, randomness is compensated in a different manner. It is shown that there exist resource states which are locally arbitrarily close to a pure state. We comment on the possibility of tailoring computational models to specific physical systems.
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Extremal entanglement features such as maximal localizable entanglement exhibited by 2D-cluster states need not be present in universal resources if only classical outputs are considered.
“The main conclusion of this investigation is that a number of extremal entanglement features (such as e.g. maximal localizable entanglement) exhibited by 2D-cluster states no longer have to be present in universal resources if only classical outputs are considered 19,85 .”
From Measurement-based quantum computation (2009) · cites this paper as [19]
In measurement-based quantum computation, universal resources for reproducing classical outputs of any quantum computation can be systematically constructed beyond 2D-cluster states.
“in 19,85 it is shown how such universal resources for MQC-beyond the 2D-cluster states-can systematically be constructed.”
From Measurement-based quantum computation (2009) · cites this paper as [19]
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Self-citationDelocalized information in quantum networks
Miguel-Ramiro, J., & Dür, W. (2020) · New Journal of Physics · doi:10.1088/1367-2630/ab784d · Cited by 38 · see citing works
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- Authors
- Gross, D., & Eisert, J.
- Affiliations
- Imperial College London (GB)
- ORCID
- Eisert, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-05-31
- Volume
- 98
- Issue
- 22
- Pages
- 220503-220503
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2013793864
- Cited by
- 255
- References
- 29
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 13 · 2023: 14 · 2022: 9 · 2021: 11 · 2020: 14 · 2019: 13 · 2018: 12 · 2017: 12 · 2016: 10 · 2015: 13 · 2014: 12 · 2013: 12 · 2012: 17
- FWCI
- 28.01
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (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
- measurement-based quantum computation, projected entangled pair states, resource states, cluster states, one-way quantum computation, local entanglement
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