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Quantum Computing with Spin Cluster Qubits
Open accessAbstract
We study the low energy states of finite spin chains with isotropic (Heisenberg) and anisotropic (XY and Ising-like) antiferromagnetic exchange interaction with uniform and nonuniform coupling constants. We show that for an odd number of sites a spin cluster qubit can be defined in terms of the ground state doublet. This qubit is remarkably insensitive to the placement and coupling anisotropy of spins within the cluster. One- and two-qubit quantum gates can be generated by magnetic fields and intercluster exchange, and leakage during quantum gate operation is small. Spin cluster qubits inherit the long decoherence times and short gate operation times of single spins. Control of single spins is hence not necessary for the realization of universal quantum gates.
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Cites
Quantum computation with quantum dots
Loss, D., & DiVincenzo, D. P. (1998) · Physical Review A · doi:10.1103/physreva.57.120 · Cited by 6,840
Self-citationRaussendorf, R., & Briegel, H. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5188 · Cited by 4,477
Quantum Mechanics Helps in Searching for a Needle in a Haystack
Grover, L. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.325 · Cited by 4,306
A silicon-based nuclear spin quantum computer
Kane, B. E. (1998) · Nature · doi:10.1038/30156 · Cited by 3,779
Quantum information and computation
Bennett, C. H., & DiVincenzo, D. P. (2000) · Nature · doi:10.1038/35005001 · Cited by 3,263
Density Matrix Theory and Applications
Blum, K. (2012) · Springer Series on Atomic, Optical, and Plasma Physics · doi:10.1007/978-3-642-20561-3 · Cited by 1,936
Interacting Electrons and Quantum Magnetism
Auerbach, A. (1994) · Graduate Texts in Contemporary Physics · doi:10.1007/978-1-4612-0869-3 · Cited by 1,738
DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651
Coupled quantum dots as quantum gates
Burkard, G., Loss, D., & DiVincenzo, D. P. (1999) · Physical Review B · doi:10.1103/physrevb.59.2070 · Cited by 1,478
Self-citationQuantum computation and Shor's factoring algorithm
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Cited by
Spintronics: Fundamentals and applications
Žutić, I., Fabian, J., & Das Sarma, S. (2004) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.323 · Cited by 11,268
Spins in few-electron quantum dots
Hanson, R., Kouwenhoven, L. P., Petta, J. R., Tarucha, S., & Vandersypen, L. M. K. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.1217 · Cited by 2,665
Colloquium: Opportunities in nanomagnetism
Bader, S. D. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.1 · Cited by 706
Molecular spins for quantum information technologies
Troiani, F., & Affronte, M. (2011) · Chemical Society Reviews · doi:10.1039/c0cs00158a · Cited by 572
Design of magnetic coordination complexes for quantum computing
Aromí, G., Aguilà, D., Gamez, P., Luis, F., & Roubeau, O. (2012) · Chem. Soc. Rev. · doi:10.1039/c1cs15115k · Cited by 552
Metadata
- Authors
- Meier, F., Levy, J., & Loss, D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-01-27
- Volume
- 90
- Issue
- 4
- Pages
- 047901-047901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2049633283
- Cited by
- 260
- References
- 25
- FWCI
- 8.65
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
