Holonomic quantum logic gates

Physics – Quantum Physics

Scientific paper

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To appear in "Quantum Theory: Reconsideration of Foundations", ed. by A. Khrennikov; series ``Math. Modelling in Physics, Engi

Scientific paper

This is a brief overview of quantum holonomies in the context of quantum
computation. We choose an adequate set of quantum logic gates, namely, a phase
gate, the Hadamard gate, and a conditional-phase gate and show how they can be
implemented by purely geometric means. Such gates may be more resilient to
certain types of errors.

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