Design of gates for quantum computation: the NOT gate
Mozyrsky, D, Privman, V, Hotaling, S P · CERN Document Server (European Organization for Nuclear Research) · 1996
We consider interactions needed to operate the quantum-mechanical NOT gate in the conventional formulation when the evolution is in time only and also in the case of spatially separated Input and Output two-state systems. Explicit expressions for the Hamiltonian are derived for the interaction which is time-independent for the duration of the gate operation. We develop a general approach which can be used to obtain Hamiltonians of this sort for quantum computer gates. We also discuss extensions to the case of time-dependent interactions.