Hamburg 2009 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 30: Poster II
Q 30.34: Poster
Tuesday, March 3, 2009, 16:30–19:00, VMP 9 Poster
Quantum Information as Complementary Classical Information — •Joseph M. Renes1 and Jean-Christian Boileau2 — 1TU Darmstadt, Germany — 2University of Toronto, Canada
Since the breakthrough by Calderbank, Shor, and Steane on the existence of quantum error-correcting codes, an oft-used notion in quantum information theory is that we can treat quantum information essentially as a strange combination of two types of classical information, pertaining to two complementary observables "amplitude" and "phase". Correcting errors afflicting either of these observables is sufficient to restore the quantum information to its original state. However, the central results of quantum information theory established recently, such as the achievable rate of quantum communication over a noisy channel, follow a different approach termed decoupling which has a natural origin in the study of quantum cryptography. We show that the decoupling-based results can be concretely established in the complementary classical information picture. By adopting an information-theoretic approach to complementarity, we are able to construct entanglement distillation protocols which straightforwardly seek to distill amplitude and phase correlations without venturing into decoupling. This gives new and intuitive proofs of both the noisy channel coding theorem and the asymptotic rates of both secret-key distillation and state merging.