Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 25: Quantum information: Quantum communication II
Q 25.3: Talk
Tuesday, March 19, 2013, 11:30–11:45, E 214
Continuous-variable entanglement distillation and non-commutative central limit theorems — •Earl Campbell1, Marco Genoni2, and Jens Eisert1 — 1Dahlem Center for Complex Quantum Systems, Freie Universitaet Berlin, 14195 Berlin, Germany — 2QOLS, Blackett Laboratory, Imperial College London, London SW7 2BW, UK
Entanglement distillation transforms weakly entangled noisy states into highly entangled states, a primitive to be used in quantum repeater schemes and other protocols designed for quantum communication and key distribution. In this work, we present a comprehensive framework for continuous-variable entanglement distillation schemes that convert noisy non-Gaussian states into Gaussian ones in many iterations of the protocol. Instances of these protocols include (a) the recursive Gaussifier protocol, (b) the temporally-reordered recursive Gaussifier protocol, and (c) the pumping Gaussifier protocol. The flexibility of these protocols give rise to several beneficial trade-offs related to success probabilities or memory requirements, which that can be adjusted to reflect experimental demands. Despite these protocols involving measurements, we relate the convergence in this protocols to new instances of non-commutative central limit theorems, in a formalism that we lay out in great detail. Implications of the findings for quantum repeater schemes are discussed.