56 citations · 57 across the 3 of their papers we have counts for
8 papers
Sharp transitions in low-number quantum dots Bayesian magnetometry
Paweł Mazurek, Michał Horodecki, Łukasz Czekaj +1
We consider Bayesian estimate of static magnetic field, characterized by a prior Gaussian probability distribution, in systems of a few electron quantum dot spins interacting with…
Minimal energy ensemble Monte Carlo for the partition function of fermions coupled to classical fields
Przemysław R. Grzybowski, Łukasz Czekaj, Mariusz Nogala +2
Models of non-interacting fermions coupled to auxilliary classical degrees of freedom are relevant to the understanding of a wide variety of problems in many body physics, {\it e.g…
Quantum communication complexity advantage implies violation of a Bell inequality
Harry Buhrman, Lukasz Czekaj, Andrzej Grudka +5
We obtain a general connection between a quantum advantage in communication complexity and non-locality. We show that given any protocol offering a (sufficiently large) quantum adv…
Quantum advantage for distributed computing without communication
L. Czekaj, M. Pawlowski, T. Vertesi +3
Understanding the role that quantum entanglement plays as a resource in various information processing tasks is one of the crucial goals of quantum information theory. Here we prop…
Quantum metrology: Heisenberg limit with bound entanglement
L. Czekaj, A. Przysiezna, M. Horodecki +1
Quantum metrology allows for a huge boost in the precision of parameters estimation. However, it seems to be extremely sensitive on the noise. Bound entangled states are states wit…
Subadditivity of the minimum output entropy and superactivation of the classical capacity of quantum multiple access channels
Lukasz Czekaj
We study subadditivity of the minimum output entropy () of quantum multiple access channels (MACs). We provide an example of violation of the additivity theorem for $H_{mi…