The promise of more effective computation led to quantum computers, which are supposed to surpass binary, digital computers. This is an outgrowth of the search for dissipation-free computation, in which the bit state is switched 'adiabatically.' Implementations in which the two local minima are at different energy levels are unstable. Using super-symmetric quantum mechanics, we show that natural transitions occur between degenerate eigenstates. Then we can write, quite generally, that the qubit should satisfy the Hamiltonian H = k2 > 0, and we associate k with the 'momentum' in Hilbert space. That is, the fundamental structure of the quantum qubit should be that of a quantum plane wave.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics
- Surfaces, Coatings and Films
- Electrical and Electronic Engineering