Friday (24 April) 
Session 1 (Student's life) chair: I. BiałynickiBirula 
9^{00}  9^{40}  M. Lewenstein
A Portrait of the Physicists as a Young Man Marek at the Frontiers of Quantum Theory ≫
In my lecture I review the history of my friendship with Marek Kuś from the high school
years till today from the perspective of our joint scientific encounters. Stochastic
processes, exact solutions, chaos and randomness, quantum dynamics, entanglement, quantum
correlations and mathematics played particular role in these events. I will try place our
joint works in the context of the seminal achievements of Marek and others.

9^{40}  10^{20}  K. Rzążewski
Stochastic processes in physics of cold bosons ≫
My two joint papers with Marek were devoted to the applications of stochastic processes in
quantum physics. Now, with a number of coworkers, we apply the methods
of random variables to describe various experiments in the theory of
cold quantum gases

10^{20}  10^{50}  Coffee break 
Session 2 (Chaotic life) chair: J. Zakrzewski 
10^{50}  11^{30}  F. Haake
Different paths to spectral universality ≫
Numerical case studies reveal that dynamics with full chaos in their classical limit show universal fluctuations in their twopoint function of the quantum level density, at least within the window(s) of (quasi)energies where correlations persist above some small noise level. Good understanding of such universality has by now been reached by four
different methods: (i) Random matrix theory provides ensembles of (Hermitian and unitary) matrices phenomenologically describing symmetry classes of Hamiltonians of Floquet maps and predicts closedform expressions for the twopoint function within certain symmetry classes; moreover, the variances of that function are shown to be inversely proportional to the matrix size N such that for large N all matrices
have the same (universal) spectral fluctuations. (ii) 'Level dynamics' maps the dependence of quantum levels on some control parameter to the time evolution of some fictitious classical manypartical system whose equilibrium statistics is equivalent to randommatrix theory. (iii) Gutzwiller's periodicorbit theory allows to calculate
spectral characteristics like the twopoint function as the sum of contributions from bunches of near action degenerate orbits, thus recovering the RMT results
for individual quantum systems. (iv) The field theoretic method known as supersymmetric sigma model reveals the periodicorbit sums as perturbation expansions and even comes with more powerful nonperturbative procedures. I shall briefly describe the relative status of the four approaches.

11^{30}  12^{10}  L. Sirko
Can one hear the shape of a network? ≫
Can one hear the shape of a network? This is a modification of the famou question of
Mark Kac "Can one hear the shape of a drum?" which can be asked in the case of scattering
systems such as microwave networks and quantum graphs. It addresses an important
mathematical problem whether scattering properties of such systems are uniquely
connected to theirshapes?

12^{10}  12^{50}  K. Życzkowski
Extreme value statistics for random unitary matrices and quantum entanglement ≫
To describe statistical properties of unitary evolution operators we propose to consider
the distributionsof the smallest and the largest spacing between the neighbouring
eigenphases. Expected valuesof the extreme spacings are found for three canonical
ensembles of random unitary matrices of order N and their distributions are discussed
in the asymptotic case. Furthermore, we analyze the distribution of quantum entanglement
for random pure states of quantum multipartite systems and identify states for which
certain measures of entanglement achieve extremal values.

12^{50}  14^{20}  Lunch break 
Session 3 (Geometric life) chair: M. Gajda 
14^{20}  15^{00}  G. Marmo
The Geometry of Density States,Observables and Evolution ≫
In this talk I shall discuss the differential manifold structure of the quantum states
and describe in geometrical terms the LieJordan algebra associated with observables. I
will also discuss the geometrical version of the KossakowskiLindblad operator and provide
an interpretation in terms of the geometrical structures associated with the LieJordan
algebra.

15^{00}  15^{40}  J. Grabowski
Entanglement in arbitrary parastatistics ≫
We analyze the concept of entanglement for multipartite system with bosonic and
fermionic constituents and its generalization to systems with arbitrary parastatistics.
We use the representation theory of symmetry groups to formulate a unified approach to
this problem in terms of simple tensors with appropriate symmetry. For an arbitrary
parastatistics, we define the Srank, generalizing the notion of the Schmidt rank, which
serves for distinguishing entanglement of pure states.

15^{40}  16^{10}  Coffee break 
Session 4 (Information life) chair: K. Banaszek 
16^{10}  16^{50}  B. Englert
Sampling from the quantum state space ≫
Various applications need random samples of quantum states of good quality. For example,
Monte Carlo integration over regions in the state space is needed in the context of
quantum state estimation; or one may wonder whether a randomly chosen state has certain
properties, such as being entangled; or one wishes to check a conjecture about quantum
states on many randomly chosen states. I'll discuss various sampling strategies and
algorithms.

16^{50}  17^{30}  A. Buchleitner
Benchmarking BosonSamplers ≫
BosonSampling currently enjoys some popularity as an incident of the quantum simulation
of "complex" many particle quantum dynamics. Since the number of interfering
manyparticle amplitudes rapidly increases with the number of input and output
modes of a manyparticle scattering device (as well as with the number of injected
particles), classical computing devices are easily saturated when it comes to fully
characterize the many particle state upon transmission. This immediately raises the
question of how to certify the reliability of such quantum simulators, and we here
propose an efficient statistical solution to this problem.

17^{30}  18^{10}  F. Mintert
Complete positivity of nonMarkovian quantum dynamics ≫
Truncated hierarchical equations of motion describe the dynamics of nonMarkovian systems
very well. Approximations in microscopic derivations, however, typically result in loss
of complete positivity. We derive sufficient conditions for truncated hierarchical
equations of motion to induce valid quantum channels.

19^{00}  Dinner (Restaurant Vivandier) 
Saturday (25 April) 
Session 5 (Offspring's life) chair: J. Mostowski 
9^{00}  9^{40}  D. Wójcik
Common kinematics for neural activity and mice behavior
(or what a theoretical physicists does in experimental biology) ≫
Neural cells  the neurons  are complex analog computers encoding incoming information into sequences of unitary events called action potentials or spikes. To understand computations performed by the brain we first need a precise language to discuss these spike trains. The accepted language is that of point processes. Interestingly, it is also useful in description of mice behavior in IntelliCages, modern cages housing multiple mice for studies of social behavior. In my talk I will describe briefly these two remote levels of animal functioning illustrating them with examples from specific experiments. I will show how increasing language precision can provide biologically interesting results.

9^{40}  10^{20}  R. DemkowiczDobrzański
Coherence and decoherence  on fundamental sensitivity limits of quantum probes in metrology and computation ≫
The extent to which quantum features such as coherence and entanglement can be utilized in practical measurement or computation protocols crucially depends on the ability to reduce detrimental effects of decoherence. I will show how to derive fundamental limitations on quantum enhancement in general quantum metrological protocols and based on this how to infer the performance of Grover algorithm in the presence of noise.

10^{20}  10^{50}  Coffee break 
10^{50}  11^{30}  A. Sawicki
Universality of beamsplitters and control theory ≫
I will show how one can prove universality of a real beamsplitter in quantum optics using some fundamental theorems from control theory and a few magic formulas valid for SO(N) group. This is unpublished work in progress.

11^{30}  12^{10}  M. Oszmaniec
Creation of superposition of unknown quantum states ≫
The existence of superpositions of pure quantum states is one of the most intriguing
features of quantum mechanics. In the talk I will systematically study the problem of
creation of superpositions of unknown quantum states. First, I will present a nogo
theorem that forbids the existence of a universal probabilistic quantum protocol
producing a superposition of two unknown quantum states. Secondly, I will show a unique
probabilistic protocol generating a superposition of two unknown states, each having a
fixed overlap with the referential pure state. Thirdly, I will discuss quantum channels
that give the optimal performance for the approximate creation of superpositions of two
unknown quantum states.

12^{10}  Happy birthday (birthday cake :) ) 