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arXiv · 1605.04566

Realisation of Qudits in Coupled Potential Wells

Ariel Landau·Yakir Aharonov·Eliahu Cohen
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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.

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Ariel Landau, Yakir Aharonov, Eliahu Cohen. 2016-05-15. Realisation of Qudits in Coupled Potential Wells. https://doi.org/10.1142/s0219749916500295

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