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

Current and Former Graduate Students

        Huan Tran, Summer 2004 - Present
          Robert Cipri, Summer 2008 - 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"

Georgios Zikos, Ph.D., Graduated Summer 2009
Thesis: "Braiding and Berry's Phase in Non-Abelian Quantum Hall States"
 

Recent Publications and Preprints

         "Valence Bond Entanglement and Fluctuations in Random Singlet Phases"
          H. Tran and N.E. Bonesteel
          Preprint. (arXiv:0909.0038), (pdf file)

"Topological Quantum Computing with Read-Rezayi States"
L. Hormozi, N.E. Bonesteel, and S. H. Simon
Phys. Rev. Lett. 103, 160501 (2009). (arXiv:0903.2239), (pdf file)

"Numerical Analysis of Quasiholes of the Moore-Read Wavefunction"
M. Baraban, G. Zikos, N.E. Bonesteel, and S. H. Simon
Phys. Rev. Lett. 103, 076801 (2009). (arXiv:0901.3502), (pdf file)

"Braiding and Entanglement in Non-Abelian Quantum Hall States"
G. Zikos,  K. Yang, N.E. Bonesteel, L. Hormozi, and S. H. Simon
Int. J. Mod. Phys. B 23, 2727 (2009).  (pdf file)

Some Older Papers

        "Infinite Randomness 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/0403023), (pdf file)

"Spin-Orbit Coupling and Time-Reversal Symmetry in Quantum Gates"
D. Stepanenko, N.E. Bonesteel, D.P. DiVincenzo, G. Burkard, and D. Loss
Phys. Rev. B 68, 115306 (2003). (cond-mat/0303474), (pdf file)

"Chiral Spin Liquids and Quantum Error-Correcting Codes"
N.E. Bonesteel
Phys. Rev. A 62, 62310 (2000). (quant-ph/0006092), (pdf file)

Full Publication List
 

Some Recent Talks       

Bond Fluctuations in Random Singlet Phases
Microsoft Station Q, UCSB, Santa Barbara, May 5, 2009.

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

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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