Non-Adiabatic Universal Holonomic Quantum Gates Based on Abelian Holonomies

Abstract

We implement a non-adiabatic universal set of holonomic quantum gates based on abelian holonomies using dynamical invariants, by Lie-algebraic methods. Unlike previous implementations, presented scheme does not rely on secondary methods such as double-loop or spin-echo and avoids associated experimental difficulties. It turns out that such gates exist purely in the non-adiabatic regime for these systems.

6 pages

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Cited by in corpus (9)

• Geometric phases in quantum information
• Doubly geometric quantum control
• Geometry and symmetry of quantum and classical-quantum variational principles
• Atom-Orbital Qubits under Holonomic Quantum Control
• Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
• Dynamical invariant formalism of shortcuts to adiabaticity
• Dropout is all you need: robust two-qubit gate with reinforcement learning
• Nonadiabatic quantum control of quantum dot arrays with fixed exchange using Cartan decomposition
• Observable-geometric phases and quantum computation