Realisation of Qudits in Coupled Potential Wells
arXiv:1605.04566 · doi:10.1142/S0219749916500295
Abstract
Quantum computation strongly relies on the realisation, manipulation and control of qubits. A central method for realizing qubits is by creating a double-well potential system with a significant gap between the first two eigenvalues and the rest. In this work we first revisit the theoretical grounds underlying the double-well qubit dynamics, then proceed to suggest novel extensions of these principles to a triple-well qutrit with periodic boundary conditions, followed by a general d-well analysis of qudits. These analyses are based on representations of the special unitary groups SU(d) which expose the systems' symmetry and employ them for performing computations. We conclude with a few notes on coherence and scalability of d-well systems.
18 pages, 7 figures
References in corpus (7)
- Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
- Decoherence of flux qubits due to 1/f flux noise
- Superconducting Qubits: A Short Review
- Superconducting Qubits and the Physics of Josephson Junctions
- Semi-classical formula for quantum tunneling in asymmetric double-well potentials
- Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
- Realizing a stable magnetic double-well potential on an atom chip