Qubitless Quantum Logic

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

Qubitless Quantum Logic

Authors

Kassman, Richard B.

Berman, Gennady P.

Tsifrinovich, Vladimir I.

Lopez, Gustavo V.

Description

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.
2 figures. Corrected title