Non-adiabatic holonomic quantum computation
Erik Sj\"oqvist, D.M. Tong, L. Mauritz Andersson, Bj\"orn Hessmo,, Markus Johansson, Kuldip Singh
TL;DR
This paper introduces a non-adiabatic approach to holonomic quantum computation, enabling fast, universal quantum gates using geometric phases in a three-level system, suitable for qubits with short coherence times.
Contribution
It presents a novel non-adiabatic method for implementing holonomic quantum gates using optical transitions in a three-level system, expanding the applicability of holonomic quantum computing.
Findings
Demonstrates implementation of non-adiabatic holonomic one- and two-qubit gates
Enables high-speed quantum gates compatible with short coherence times
Utilizes geometric phases in a three-level Λ configuration
Abstract
We develop a non-adiabatic generalization of holonomic quantum computation in which high-speed universal quantum gates can be realized by using non-Abelian geometric phases. We show how a set of non-adiabatic holonomic one- and two-qubit gates can be implemented by utilizing optical transitions in a generic three-level configuration. Our scheme opens up for universal holonomic quantum computation on qubits characterized by short coherence times.
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