How entangled can two couples get?
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The maximum entanglement entropy that a quantum representation of BAS(2,2) can reach is S_BAS(2,2) = 1.79248, which is the maximum entanglement entropy known for any four-qubit state.
“Furthermore, the maximum value that a quantum representation of BAS(2, 2) can reach is S BAS(2,2) = 1.79248, which happens to be the maximum entanglement entropy known for any four-qubit state 56 (see also Fig. S5 and the corresponding Section in the Supplementary Material).”
From A generative modeling approach for benchmarking and training shallow quantum circuits (2019) · cites this paper as [56]
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Cites
Three qubits can be entangled in two inequivalent ways
Dür, W., Vidal, G., & Cirac, J. I. (2000) · Physical Review A · doi:10.1103/physreva.62.062314 · Cited by 3,384 · see citing works
Coffman, V., Kundu, J., & Wootters, W. K. (2000) · Physical Review A · doi:10.1103/physreva.61.052306 · Cited by 2,619 · see citing works
Bell inequality, Bell states and maximally entangled states for n qubits
Gisin, N., & Bechmann-Pasquinucci, H. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00516-7 · Cited by 270 · see citing works
Multipartite generalization of the Schmidt decomposition
Carteret, H. A., Higuchi, A., & Sudbery, A. (2000) · Journal of Mathematical Physics · doi:10.1063/1.1319516 · Cited by 180 · see citing works
Self-citationQuantum entanglement as a quantifiable resource
Wootters, W. K. (1998) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.1998.0244 · Cited by 124 · see citing works
The maximal entangled three-particle state is unique
Schlienz, J., & Mahler, G. (1996) · Physics Letters A · doi:10.1016/s0375-9601(96)00803-1 · Cited by 45 · see citing works
Multipartite pure-state entanglement and the generalized GHZ states
Wu, S., & Zhang, Y. (2000) · CERN Document Server (European Organization for Nuclear Research) · doi:10.48550/arxiv.quant-ph/0004020
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A generative modeling approach for benchmarking and training shallow quantum circuits
Benedetti, M., Garcia-Pintos, D., Perdomo, O., Leyton-Ortega, V., Nam, Y., & Perdomo-Ortiz, A. (2019) · npj Quantum Information · doi:10.1038/s41534-019-0157-8 · Cited by 379 · see citing works
Zhou, N.-R., Zhang, T.-F., Xie, X.-W., & Wu, J.-Y. (2023) · Signal Processing Image Communication · doi:10.1016/j.image.2022.116891 · Cited by 161 · see citing works
No invariant perfect qubit codes
Mansuroglu, R., & Sahlmann, H. (2023) · Journal of High Energy Physics · doi:10.1007/jhep02(2023)062 · Cited by 3 · see citing works
Multiqubit monogamy relations beyond shadow inequalities
Serrano-Ensástiga, E., Giraud, O., & Martin, J. (2026) · Physical Review A · doi:10.1103/9fkf-hm8l
- Authors
- Higuchi, A., & Sudbery, A.
- Affiliations
- University of York (GB)
- Corresponding author
- Sudbery, A.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 2000-08
- Volume
- 273
- Issue
- 4
- Pages
- 213-217
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2093189259
- Cited by
- 189
- References
- 7
- Citations by year
- 2026: 9 · 2025: 11 · 2024: 11 · 2023: 10 · 2022: 9 · 2021: 12 · 2020: 18 · 2019: 11 · 2018: 9 · 2017: 8 · 2016: 11 · 2015: 5 · 2014: 6 · 2013: 7 · 2012: 5
- FWCI
- 3.33
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- four-qubit entanglement, maximally entangled states, quantum entanglement
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