Bremen 2017 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quantum Mechanics

MP 7.2: Talk

Tuesday, March 14, 2017, 17:25–17:45, SFG 2010

Lossless quantum compression of quantum measurements — •Andreas Bluhm and Michael M. Wolf — Technische Universität München

In this work, we investigate the task of compressing quantum measurements in the Heisenberg picture with respect to their Hilbert space dimension. This serves to minimize data storage requirements. In our analysis, we allow for an arbitrary classical side channel and give a concrete procedure to determine the minimal dimension that we can compress to. Furthermore, we show that for two generic binary measurements compression is impossible, whereas for two von Neumann measurements we can reduce to dimension 2. For the latter case, we give a quantum channel with classical side information which achieves this compression.