Novel class of Josephson junction arrays with protected ground states and their application for quantum computing

Research output: Contribution to journalConference article

Abstract

A realistic implemetation of the macroscopic quantum computer requires that individual qubits are realized as quantum systems with degenerate ground states which are well protected from the effects of the environment. I show how this protection can be achieved in the new class of Josephson arrays with non-trivial symmetry or topology. For such "topologically protected" arrays the effect of noise is exponentially small in the array size which allows one in principle to get extremely small error rates and extremely long dephasing times in these systems. In this review I present a simple physical picture of the topological protection and explain why it is related to the presence of the topological order parameter in these systems. I formulate a set of general mathematical requirements on a model that ensures the appearance of the protected degenerate states and show how these conditions can be satisfied in a simple spin model. Finally I present Josephson junction array that is described by the mathematical model which satisfy these conditions and discuss its physical properties and how one can test these predictions experimentally.

Original languageEnglish (US)
Pages (from-to)250-261
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume5436
DOIs
StatePublished - Dec 24 2004
EventQuantum Information and Computation II - Orlando, FL, United States
Duration: Apr 12 2004Apr 14 2004

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Applied Mathematics
  • Electrical and Electronic Engineering
  • Computer Science Applications

Keywords

  • Josephson junction arrays
  • Protected states
  • Quantum computation
  • Qubits

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