Qubitless Quantum Logic

Richard B. Kassman; Gennady P. Berman; Vladimir I. Tsifrinovich; Gustavo V. Lopez

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Qubitless Quantum Logic

Richard B. Kassman·Gennady P. Berman·Vladimir I. Tsifrinovich·Gustavo V. Lopez

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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'' don't correspond to any physical two-state subsystems. 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 the current theory of quantum information processing to include systems with permanent strong coupling between the two-state subsystems.

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Richard B. Kassman, Gennady P. Berman, Vladimir I. Tsifrinovich, Gustavo V. Lopez. 2002-03-15. Qubitless Quantum Logic. https://arxiv.org/abs/quant-ph/0203059

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