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Qubitless Quantum Logic |
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| Authors: | Kassman Richard B. Berman Gennady P. Tsifrinovich Vladimir I. López Gustavo V. |
| Affiliation: | (1) Theoretical Division and CNLS, Los Alamos National Laboratory, Los Alamos, New Mexico, 87545;(2) Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, 61801;(3) IDS Department, Polytechnic University, Six Metrotech Center, Brooklyn, New York, 11201;(4) Departamento de Física, Universidad de Guadalajara, Corregidora 500, SR 44420 Guadalajara, Jalisco, Mexico |
| 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 |
| Keywords: | Qubits quantum logic quantum information Heisenberg coupling Shor's algorithm |
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