Non-Abelian Geometric Quantum Memory with Atomic Ensemble

Details Non-Abelian Geometric Quantum Memory with Atomic Ensemble Non-Abelian Geometric Quantum Memory with Atomic Ensemble

2004-02-24

arxiv.org/abs/quant-ph/0402177v1

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.70.032330

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.

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