Non-Abelian Geometric Quantum Memory with Atomic Ensemble

Abstract

We study a quantum information storage scheme based on an atomic ensemble with near (also exact) three-photon resonance electromagnetically induced transparency (EIT). Each 4-level-atom is coupled to two classical control fields and a quantum probe field. Quantum information is adiabatically stored in the associated dark polariton manifold. An intrinsic non-trivial topological structure is discovered in our quantum memory implemented through the symmetric collective atomic excitations with a hidden SU(3) dynamical symmetry. By adiabatically changing the Rabi frequencies of two classical control fields, the quantum state can be retrieved up to a non-abelian holonomy and thus decoded from the final state in a purely geometric way.

4 pages, 2 figures

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Cited by in corpus (17)

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• Noncyclic geometric changes of quantum states
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• Correlated Photons from Collective Excitations of Three-Level Atomic Ensemble
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Detecting unambiguously non-Abelian geometric phases with trapped ions
• Alternative scheme for two-qubit conditional phase gate by adiabatic passage under dissipation
• Engineering massive quantum memories by topologically time-modulated spin rings
• Mixed state non-Abelian holonomy for subsystems
• Topological stability of stored optical vortices
• Massive Quantum Memories by Periodically Inverted Dynamic Evolutions
• Geometric Manipulation of a Decoherence-Free Subspace in Atomic Ensembles
• Holonomic Quantum Computation
• Geometric and holonomic quantum computation
• Propagation of Light in an Ensemble of "3+1"-Level Atoms
• Dispersive effects on optical information storage in Bose-Einstein condensates with ultra-slow short pulses