Cluster states from Heisenberg interactions
Open accessAbstract
We show that a special type of entangled states, cluster states, can be created with Heisenberg interactions and local rotations in $2d$ steps where $d$ is the dimension of the lattice. We find that, by tuning the coupling strengths, anisotropic exchange interactions can also be employed to create cluster states. Finally, we propose electron spins in quantum dots as a possible realization of a one-way quantum computer based on cluster states.
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There have been proposals to implement one-way quantum computation or create cluster states in solid state systems using superconducting circuits and quantum dots.
“In addition to these works, there have been a series of proposals how to implement one-way quantum computation (or to create cluster states) in solid state systems, using superconducting circuits 55 and quantum dots 56,57 .”
From Measurement-based quantum computation (2009) · cites this paper as [56]
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<i>Quantum Computation and Quantum Information</i>
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895 · see citing works
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,449 · see citing works
Quantum computation with quantum dots
Loss, D., & DiVincenzo, D. P. (1998) · Physical Review A · doi:10.1103/physreva.57.120 · Cited by 6,840 · see citing works
Self-citationRaussendorf, R., & Briegel, H. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5188 · Cited by 4,477 · see citing works
Elementary gates for quantum computation
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Quantum Computations with Cold Trapped Ions
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Persistent Entanglement in Arrays of Interacting Particles
Briegel, H. J., & Raussendorf, R. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.910 · Cited by 1,950 · see citing works
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 · see citing works
Semiconductor Spintronics and Quantum Computation
Awschalom, D. D., Loss, D., & Samarth, N. (2002) · Nanoscience and technology · doi:10.1007/978-3-662-05003-3 · Cited by 1,613 · see citing works
Self-citationCoupled quantum dots as quantum gates
Burkard, G., Loss, D., & Divincenzo, D. P. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.59.2070 · Cited by 1,463 · see citing works
Self-citationJosephson Persistent-Current Qubit
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Huang, K., & Holbrow, C. H. (1965) · Physics Today · doi:10.1063/1.3047170 · Cited by 498 · see citing works
Double-occupancy errors, adiabaticity, and entanglement of spin qubits in quantum dots
Schliemann, J., Loss, D., & MacDonald, A. H. (2001) · Physical review. B, Condensed matter · doi:10.1103/physrevb.63.085311 · Cited by 239 · see citing works
Self-citationPhysical optimization of quantum error correction circuits
Burkard, G., Loss, D., Divincenzo, D. P., & Smolin, J. A. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.60.11404 · Cited by 106 · see citing works
Self-citationNachtergaele, B., Solovej, J. P., & Yngvason, J. (2004) · Springer eBooks · doi:10.1007/978-3-662-10018-9 · Cited by 99 · see citing works
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Measurement-based quantum computation
Briegel, H. J., Browne, D. E., Dür, W., Raussendorf, R., & Van den Nest, M. (2009) · Nature Physics · doi:10.1038/nphys1157 · Cited by 1,090 · see citing works
Producing Cluster States in Charge Qubits and Flux Qubits
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Fundamentals of universality in one-way quantum computation
Nest, M. V. D., Dür, W., Miyake, A., & Briegel, H. J. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/6/204 · Cited by 97 · see citing works
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- Authors
- Borhani, M., & Loss, D.
- Affiliations
- University of Basel (CH)
- ORCID
- Loss, Daniel
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-03-23
- Volume
- 71
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2124002916
- Cited by
- 68
- References
- 15
- Citations by year
- 2023: 1 · 2021: 1 · 2019: 2 · 2017: 1 · 2016: 1 · 2015: 1 · 2014: 5 · 2013: 1 · 2012: 4
- FWCI
- 11.28
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- cluster states, Heisenberg exchange interaction, entangled states, local rotation, anisotropic exchange interaction, one-way quantum computation, quantum dot spin qubits
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