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Qubitless Quantum Logic

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Abstract

We discuss the implementation of quantum logic in a system of strongly interacting particles. The implementation is qubitless since “logical qubits” do not correspond to any well-defined physical substates. As an illustration, we present the results of simulations of the quantum controlled-NOT gate and Shor's algorithm for a chain of spin-1/2 particles with Heisenberg coupling. Our proposal extends quantum information processing theory to systems with permanent strong coupling between the two-state subsystems.

PACS: 03.67.Lx; 03.65.Ta

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Authors and Affiliations

  1. Theoretical Division and CNLS, Los Alamos National Laboratory, Los Alamos, New Mexico, 87545

    Richard B. Kassman & Gennady P. Berman

  2. Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, 61801

    Richard B. Kassman

  3. IDS Department, Polytechnic University, Six Metrotech Center, Brooklyn, New York, 11201

    Vladimir I. Tsifrinovich

  4. Departamento de Física, Universidad de Guadalajara, Corregidora 500, SR 44420, Guadalajara, Jalisco, Mexico

    Gustavo V. López

Authors
  1. Richard B. Kassman
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  2. Gennady P. Berman
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  3. Vladimir I. Tsifrinovich
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  4. Gustavo V. López
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Corresponding author

Correspondence to Richard B. Kassman.

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Kassman, R.B., Berman, G.P., Tsifrinovich, V.I. et al. Qubitless Quantum Logic. Quantum Information Processing 1, 425–437 (2002). https://doi.org/10.1023/A:1024008214556

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  • DOI: https://doi.org/10.1023/A:1024008214556

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