Hannover 2016 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 30: Quantum Information: Concepts and Methods V
Q 30.3: Talk
Wednesday, March 2, 2016, 11:30–11:45, e214
The energy cost of quantum measurements — •Kais Abdelkhalek1, David Reeb1, and Yoshifumi Nakata2 — 1Institut für Theoretische Physik, Leibniz Universität Hannover, Germany — 2Universitat Autonoma de Barcelona, Spain
We investigate the energy cost for performing a quantum measurement. In a general, microscopic model employing all systems involved in the measurement process, we establish a new fundamental lower bound on the energy cost for general measurements. We show that, in contrast to naïve intuition and previous results by [Sagawa/Ueda] valid only for a small class of measurements, our result implies that useful energy can, in principle, be extracted by general measurements. In the important special case of projective measurements we prove that the corresponding energy cost is proportional to the Shannon entropy of the outcome probability distribution. We elucidate immediate consequences of these results for examples in quantum control theory and measurement-based feedback processes (such as quantum error correction) and highlight a link to quantum thermodynamics.