Document Type

Article

Publication Date

8-23-2016

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.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Journal of Quantum Information, volume 14, in 2016 following peer review. The definitive publisher-authenticated version is available online at DOI: 10.1142/S0219749916500295.

Peer Reviewed

1

Copyright

World Scientific

Available for download on Wednesday, August 23, 2017

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