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Theoretical physicists working at a blackboard collaboration pod in the Beecroft building.
Credit: Jack Hobhouse

Steve Simon

Professorial Research Fellow and Professorial Fellow of Somerville College

Sub department

  • Rudolf Peierls Centre for Theoretical Physics

Research groups

  • Condensed Matter Theory
steven.simon@physics.ox.ac.uk
Telephone: 01865 (2)73954
Rudolf Peierls Centre for Theoretical Physics, room 70.06
  • About
  • Publications

Quantum Hall wave functions based on S3 conformal field theories

PHYSICAL REVIEW B 81:12 (2010) ARTN 121301

Authors:

Steven H Simon, Edward H Rezayi, Nicolas Regnault
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Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State

(2009)

Authors:

Edward H Rezayi, Steven H Simon
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Skyrmions in the Moore-Read state at nu=5/2

(2009)

Authors:

Arkadiusz Wojs, Gunnar Moller, Steven H Simon, Nigel R Cooper
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Topological quantum computing with read-rezayi states

Physical Review Letters 103:16 (2009)

Authors:

L Hormozi, NE Bonesteel, SH Simon

Abstract:

Read-Rezayi fractional quantum Hall states are among the prime candidates for realizing non-Abelian anyons which, in principle, can be used for topological quantum computation. We present a prescription for efficiently finding braids which can be used to carry out a universal set of quantum gates on encoded qubits based on anyons of the Read-Rezayi states with k>2, k≠4. This work extends previous results which only applied to the case k=3 (Fibonacci) and clarifies why, in that case, gate constructions are simpler than for a generic Read-Rezayi state. © 2009 The American Physical Society.
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Numerical analysis of quasiholes of the moore-read wave function

Physical Review Letters 103:7 (2009)

Authors:

M Baraban, G Zikos, N Bonesteel, SH Simon

Abstract:

We demonstrate numerically that non-Abelian quasihole (qh) excitations of the ν=5/2 fractional quantum Hall state have some of the key properties necessary to support quantum computation. We find that as the qh spacing is increased, the unitary transformation which describes winding two qh's around each other converges exponentially to its asymptotic limit and that the two orthogonal wave functions describing a system with four qh's become exponentially degenerate. We calculate the length scales for these two decays to be ξU2.70 and ξE2.30, respectively. Additionally, we determine which fusion channel is lower in energy when two qh's are brought close together. © 2009 The American Physical Society.
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