Nodal free geometric phases: Concept and application to geometric quantum computation
Marie Ericsson, David Kult, Erik Sj\"oqvist, and Johan Aberg
TL;DR
This paper introduces nodal free geometric phases, which are gauge-invariant eigenvalues of certain unitary operators, and explores their application in constructing robust quantum phase gates for quantum computing.
Contribution
The paper defines nodal free geometric phases, demonstrating their gauge invariance and applicability in designing quantum phase gates, advancing geometric quantum computation methods.
Findings
Nodal free geometric phases are gauge invariant and well-defined.
They can be measured interferometrically.
They enable construction of quantum phase gates.
Abstract
Nodal free geometric phases are the eigenvalues of the final member of a parallel transporting family of unitary operators. These phases are gauge invariant, always well-defined, and can be measured interferometrically. Nodal free geometric phases can be used to construct various types of quantum phase gates.
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