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Q: Fachverband Quantenoptik und Photonik
Q 30: Quantum Information: Concepts and Methods V
Q 30.7: Vortrag
Mittwoch, 2. März 2016, 12:30–12:45, e214
Quantum information processing in phase space: A modular variables approach — •Andreas Ketterer1, Arne Keller2, Stephen P. Walborn3, Thomas Coudreau1, and Pérola Milman1 — 1Laboratoire Matériaux et Phénomènes Quantique, Université Paris Diderot, Paris, France — 2Institut de Sciences Moléculaires d’Orsay, Université Paris-Sud, Orsay, France — 3Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil
Binary quantum information can be fault tolerantly encoded in states defined in infinite dimensional Hilbert spaces [1]. Such states define a logical basis, and permit a perfect equivalence between continuous and discrete universal operations. The drawback of this encoding is that the corresponding logical states are unphysical, meaning infinitely localized in phase space. In this talk, we apply the modular variables formalism to show theoretically that, in a number of protocols relevant for quantum information and for the realization of fundamental tests of quantum mechanics, it is possible to loosen the requirements on the encoded subspace without jeopardizing neither their usefulness nor their successful implementation. Such protocols involve measurements of appropriately chosen modular observables that permit the readout of encoded discrete quantum information from the corresponding logical states [2,3].
[1] D. Gottesman et al., Phys. Rev. A 64, 012310 (2001)
[2] A. Ketterer et al., in preparation (2015)
[3] A. Ketterer et al., Phys. Rev. A 91, 012106 (2015)