Research Interests Condensed Matter Physics Correlated Electrons Quantum Hall Effect Quantum Computing

Graduate Students

Huan Tran, Summer 2004 - Present
Georgios Zikos, Fall 2004 - Present

Vilen Melik-Alaverdian, Ph.D., Graduated Fall 1998
Thesis: "Theory of Excitations in the Quantum Hall Effect"

Kerwin C. Foster, Ph.D., Graduated Summer 2002

Thesis: "Conductivity Predictions for the 5/2 Fractional Quantum Hall State Using the Composite Fermion Superconductor Model"

Dimitrije Stepanenko, Ph.D., Graduated Summer 2005
Thesis: "Symmetry and Control in Spin-Based Quantum Computing"

Layla Hormozi, Ph.D., Graduated Fall 2007
Thesis: "Topological Quantum Compiling"

Recent Publications and Preprints

"Block Entanglement Entropy of Ground States with Long-Range Magnetic Order."
W. Ding, N.E. Boneesteel and K. Yang
Submitted to Phys. Rev. A. (arXiv:0803.0013)

"Infinite Randomess Fixed Points for Chains of Non-Abelian Quasiparticles."
N.E. Bonesteel and K. Yang
Phys. Rev. Lett. 99, 140405 (2007). (cond-mat/0612503), (pdf file)

"Topological Quantum Compiling."
L. Hormozi, G. Zikos, N.E. Bonesteel, and S.H. Simon
Phys. Rev. B 75, 165310 (2007). (quant-ph/0610111), (pdf file)

"Topological Quantum Computation with Only One Mobile Quasiparticle."
S.H. Simon, N.E. Bonesteel, M.H. Freedman, N. Petrovic, and L. Hormozi
Phys. Rev. Lett. 96, 070503 (2006). (quant-ph/0509175), (pdf file)

"Braid Topologies for Quantum Computation."
N.E. Bonesteel, L. Hormozi, G. Zikos, and S. H. Simon
Phys. Rev. Lett. 95,  140503 (2005). (quant-ph/0505065), (pdf file)

"Universal Quantum Computation through Control of Spin-Orbit Coupling."
D. Stepanenko and N.E. Bonesteel,
Phys. Rev. Lett. 93, 140501 (2004). (quant-ph/0403023), (pdf file)

Full Publication List

Some Recent Talks

Random Chains of Interacting Non-Abelian Quasiparticles
Hamilton Mathematics Institute TCD, Dublin, Ireland, Sept. 10, 2007 (talk given at the workshop Topological Quantum Computing).

Quantum Computing with Braids
KITPC, Chinese Academy of Sciences, Beijing, China, June 27-28, 2007 (talks given during the workshop Quantum Phases of Matter).

Finding Braids for Non-Abelian Particles
Institute for Pure & Applied Mathematics, UC Los Angeles, Feb. 27, 2007 (talk given at the conference Topological Quantum Computing).

Braid Topologies for Quantum Computation
KITP, UC Santa Barbara, March 22, 2006.

Topological Quantum Compiling
KITP, UC Santa Barbara, May 17, 2006 (talk given at the conference Topological Phases and Quantum Computation).

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