The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Graphical description of the action of local Clifford transformations on graph states
Open accessAbstract
We translate the action of local Clifford operations on graph states into transformations on their associated graphs, i.e., we provide transformation rules, stated in purely graph theoretical terms, which completely characterize the evolution of graph states under local Clifford operations. As we will show, there is essentially one basic rule, successive application of which generates the orbit of any graph state under local unitary operations within the Clifford group.
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“The state | Φ ˆ θ 〉 △ is obtained via local complementation [44] on qubit 2 of | Φ ˆ θ 〉 ⊂ .”
From Demonstration of Blind Quantum Computing (2012) · cites this paper as [44]
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Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,450
Diestel, R. (1997) · Cited by 5,082
Measurement-based quantum computation on cluster states
Raussendorf, R., Browne, D. E., & Briegel, H. J. (2003) · Physical Review A · doi:10.1103/physreva.68.022312 · Cited by 1,655
Quantum Error Correction and Orthogonal Geometry
Calderbank, A. R., Rains, E. M., Shor, P. W., & Sloane, N. J. A. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.405 · Cited by 811
Multiparticle Entanglement Purification for Graph States
Dür, W., Aschauer, H. N., & Briegel, H. J. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.107903 · Cited by 216
Clifford group, stabilizer states, and linear and quadratic operations over GF(2)
Dehaene, J., & De Moor, B. (2003) · Physical Review A · doi:10.1103/physreva.68.042318 · Cited by 183
Self-citationLocal permutations of products of Bell states and entanglement distillation
Dehaene, J., den Nest, M. V., Moor, B. D., & Verstraete, F. (2003) · Physical Review A · doi:10.1103/physreva.67.022310 · Cited by 84
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Multiparty entanglement in graph states
Hein, M., Eisert, J., & Briegel, H. J. (2004) · Physical Review A · doi:10.1103/physreva.69.062311 · Cited by 915
The Variational Quantum Eigensolver: A review of methods and best practices
Tilly, J., Chen, H., Cao, S., Picozzi, D., Setia, K., Li, Y., Grant, E., Wossnig, L., Rungger, I., Booth, G. H., et al. (2022) · Physics Reports · doi:10.1016/j.physrep.2022.08.003 · Cited by 1,031
Demonstration of Blind Quantum Computing
Barz, S., Kashefi, E., Broadbent, A., Fitzsimons, J. F., Zeilinger, A., & Walther, P. (2012) · Science · doi:10.1126/science.1214707 · Cited by 475
Coecke, B., & Kissinger, A. (2017) · Cambridge University Press eBooks · doi:10.1017/9781316219317 · Cited by 512
Interacting quantum observables : categorical algebra and diagrammatics
Coecke, B., & Duncan, R. (2008) · Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) · Cited by 345
Metadata
- Authors
- Van den Nest, M., Dehaene, J., & De Moor, B.
- Affiliations
- KU Leuven (BE)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2004-02-24
- Volume
- 69
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2165148883
- Cited by
- 335
- References
- 8
- Citations by year
- 2026: 14 · 2025: 34 · 2024: 25 · 2023: 21 · 2022: 19 · 2021: 22 · 2020: 16 · 2019: 15 · 2018: 11 · 2017: 8 · 2016: 13 · 2015: 6 · 2014: 8 · 2013: 9 · 2012: 12
- FWCI
- 14.54
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- graph states, Clifford group, local unitary operations, graph transformation, quantum error correction, graph theory
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