PIRSA:13040122

Continuous-variable entanglement distillation and non-commutative central limit theorems

APA

Campbell, E. (2013). Continuous-variable entanglement distillation and non-commutative central limit theorems. Perimeter Institute. https://pirsa.org/13040122

MLA

Campbell, Earl. Continuous-variable entanglement distillation and non-commutative central limit theorems. Perimeter Institute, Apr. 15, 2013, https://pirsa.org/13040122

BibTex

          @misc{ pirsa_13040122,
            doi = {10.48660/13040122},
            url = {https://pirsa.org/13040122},
            author = {Campbell, Earl},
            keywords = {Quantum Information},
            language = {en},
            title = {Continuous-variable entanglement distillation and non-commutative central limit theorems},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {apr},
            note = {PIRSA:13040122 see, \url{https://pirsa.org}}
          }
          

Earl Campbell University of Sheffield

Abstract

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 the recursive Gaussifier protocol and the pumping Gaussifier protocol. The flexibility of these protocols give rise to several beneficial trade-offs related to success probabilities or memory requirements that can be adjusted to reflect experimental specifics. Despite these protocols involving measurements, we relate the convergence in this protocols to new instances of non-commutative central limit theorems. Implications of the findings for quantum repeater schemes are discussed.