S. Simon

Publications236
h-index38
Citations8,054
Highly Influential Citations229
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Non-Abelian Anyons and Topological Quantum Computation
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
TLDR
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
TLDR
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
TLDR
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.
The Oxford Solid State Basics
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…
A Random Matrix-Theoretic Approach to Handling Singular Covariance Estimates
TLDR
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.
Topological quantum compiling
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
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…
Optimizing MIMO antenna systems with channel covariance feedback
TLDR
It is shown how a transmitter with covariance knowledge should correlate its transmissions to maximize throughput, and an exact condition is derived that determines when beamforming is optimal for systems with arbitrary number of transmitters and receivers.
On the Outage Capacity of Correlated Multiple-Path MIMO Channels
  • A. Moustakas, S. Simon
  • Computer Science, Mathematics
    IEEE Transactions on Information Theory
  • 28 September 2005
TLDR
A mathematical approach is presented, using the method of replicas, that provides analytic expressions not only for the average, but also for the higher moments of the distribution of the mutual information for the most general zero-mean Gaussian multiple-input multiple-output (MIMO) channels when the channel is known at the receiver.
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