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Q: Fachverband Quantenoptik und Photonik

Q 26: Quantum Optics IV

Q 26.4: Vortrag

Dienstag, 1. März 2016, 15:15–15:30, f442

An Operational Measure for Squeezing — •Martin Idel, Daniel Lercher, and Michael M. Wolf — Technische Universität München, Zentrum Mathematik, M5, Garching, Deutschland

Squeezing of quantum states in continuous variable systems is valuable albeit difficult since it always requires the use of nonlinear media. From a mathematical perspective, this makes it an interesting resource theory. We introduce two operational measures for squeezing for multi-mode quantum systems: the first measure quantifies the integrated interaction strength of active Hamiltonians required to prepare the given state. The second measure may be dubbed ``squeezing of formation'' as it is the squeezing analogue of the well-known entanglement of formation. The two measures are shown to be equivalent and we prove some of their properties such as convexity and continuity. Moreover, we derive simple bounds and provide a convex programming algorithm for computing the measure. Finally, we show an example where the preparation procedures obtained from the measure are superior (in terms of squeezing needed) to naive preparation procedures.