Non-adiabatic holonomic quantum computation

2011/07/31 by Erik Sjöqvist, D. M. Tong, L. Mauritz Andersson +3 · 2 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1088/1367-2630/14/10/103035

published as New J. Phys. 14, 103035 (2012) · Some changes, journal reference added

arxiv created 2012/10/25 · arxiv updated 2012/10/26

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 Λ configuration. Our scheme opens up for universal holonomic quantum computation on qubits characterized by short coherence times.

Cited by

• Nonadiabatic Holonomic Single-Qubit Gates in Non-Hermitian Systems
• Robust and High-Fidelity Controlled Two-Qubit Gates via Asymmetric Parallel Resonant Excitation

Related

• Non-adiabatic holonomies as photonic quantum gates
• Non-adiabatic holonomic quantum computation in linear system-bath coupling
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
• Nonadiabatic Holonomic Single-Qubit Gates in Non-Hermitian Systems