room 1.03, Pasteura 5 at 11:15

Konrad Szymański (UJ)
The set of simultaneously attainable quantum expectation values of arbitrary k observables $F_1,\ldots,F_k$, called the numerical range, $W(F_1,…,F_k)$, can be applied to various problems in quantum theory. In this talk we establish a connection to uncertainty relations, in particular discussing the recent form of Maccone and Pati concerning the sum of variances. New results include semi-analytical bounds from below for the sum of variances with an error estimate and tight, analytical bounds for low-dimensional cases. Talk based on arXiv preprint 1707.03464.
room 1.03, Pasteura 5 at 11:15

Jan Kolodyński (ICFO Barcelona)
We study causal waveform estimation (tracking) of time-varyingsignals in a paradigmatic atomic sensor, an alkali vapor monitored byFaraday rotation probing. We use Kalman filtering, which optimallytracks known linear Gaussian stochastic processes, to estimatestochastic input signals that we generate by optical pumping.Comparing the known input to the estimates, we confirm the accuracy ofthe atomic statistical model and the reliability of the Kalman filter,allowing recovery of waveform details far briefer than the sensor'sintrinsic time resolution. With proper filter choice, we obtainsimilar benefits when tracking partially-known and non-Gaussian signalprocesses, as are found in most practical sensing applications. Themethod evades the trade-off between sensitivity and time resolution incoherent sensing.
room 1.03, Pasteura 5 at 11:15

Michał Horodecki (Uniwersytet Gdański)
room 1.03, Pasteura 5 at 11:15

Remigiusz Augusiak (CFT PAN)