Non-Abelian Anyons and Topological Quantum Computation
- C. Nayak, S. Simon, A. Stern, M. Freedman, S. Sarma
- Physics
- 12 July 2007
Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of…
MIMO capacity through correlated channels in the presence of correlated interferers and noise: a (not so) large N analysis
- A. L. Moustakas, S. Simon, Anirvan M. Sengupta
- Computer ScienceIEEE Transactions on Information Theory
- 1 October 2003
An approach that provides analytic expressions for the statistics of throughput of the mutual information of multiple-antenna systems with arbitrary correlations, interferers, and noise is presented and a method to analytically optimize over the input signal covariance is developed.
Polarized MIMO channels in 3-D: models, measurements and mutual information
- M. Shafi, Min Zhang, S. Simon
- Computer ScienceIEEE Journal on Selected Areas in Communications
- 1 March 2006
An analytical model for large system mean mutual information values and the impact of elevation spectrum on MI is presented and a composite channel impulse model for the cross-polarized channel that takes into account both azimuth and elevation spectrum is proposed.
Capacity and Character Expansions: Moment-Generating Function and Other Exact Results for MIMO Correlated Channels
- S. Simon, A. L. Moustakas, L. Marinelli
- Computer ScienceIEEE Transactions on Information Theory
- 27 September 2005
This work examines unitary encoded space-time transmission of MIMO systems and derives the received signal distribution when the channel matrix is correlated at the transmitter end.
A Random Matrix-Theoretic Approach to Handling Singular Covariance Estimates
- T. Marzetta, G. Tucci, S. Simon
- MathematicsIEEE Transactions on Information Theory
- 4 October 2010
A radically new approach to deal with the case where N <; M such that this estimate is singular (noninvertible) and therefore fundamentally bad is presented, based on the idea of dimensionality reduction through an ensemble of isotropically random unitary matrices.
Braid topologies for quantum computation.
- N. Bonesteel, L. Hormozi, G. Zikos, S. Simon
- PhysicsPhysical Review Letters
- 10 May 2005
It is shown how to find braids that yield a universal set of quantum gates for qubits encoded using a specific kind of quasiparticle which is particularly promising for experimental realization.
The Oxford Solid State Basics
- S. Simon
- Physics, Materials Science
- 16 August 2013
PART I: SOLIDS WITHOUT CONSIDERING MICROSCOPIC STRUCTURE: THE EARLY DAYS OF SOLID STATE PART II: STRUCTURE OF MATERIALS PART III: TOY MODELS OF SOLIDS IN ONE DIMENSION PART IV: GEOMETRY OF SOLIDS…
Topological quantum compiling
- L. Hormozi, G. Zikos, N. Bonesteel, S. Simon
- Physics
- 13 October 2006
A method for compiling quantum algorithms into specific braiding patterns for non-Abelian quasiparticles described by the so-called Fibonacci anyon model is developed. The method is based on the…
The Chern-Simons Fermi Liquid Description of Fractional Quantum Hall States
- S. Simon
- Physics
- 11 December 1998
The composite fermion picture has had a remarkable number of recent successes both in the description of the fractional quantized Hall states and in the description on the even denominator Fermi…
Strong peak in Tc of Sr2RuO4 under uniaxial pressure
- A. Steppke, Lishan Zhao, C. Hicks
- PhysicsScience
- 22 April 2016
It is shown that uniaxial pressure can induce profound changes in the superconductivity of one of the model materials in the field, Sr2RuO4, and demonstrated using explicit calculations how the findings provide strong constraints on theory.
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