6 citations · 33 across the 14 of their papers we have counts for
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Upper bounds on the leakage of private data and operational approach to markovianity
Karol Horodecki, Michał Studziński, Ryszard P. Kostecki +2
We quantify the consequences of a private key leakage and private randomness generated during quantum key distribution. We provide simple lower bounds on the one-way distillable ke…
Local quantum information dynamics
Ryszard Paweł Kostecki
In this paper we: 1) show how the smooth geometry of spaces of normal quantum states over W*-algebras (generalised spaces of density matrices) may be used to substantially enrich t…
Lüders' and quantum Jeffrey's rules as entropic projections
Ryszard Paweł Kostecki
We prove that the standard quantum mechanical description of a quantum state change due to measurement, given by Lueders' rules, is a special case of the constrained maximisation o…
Quantum collapse rules from the maximum relative entropy principle
Frank Hellmann, Wojciech Kamiński, Ryszard Paweł Kostecki
We show that the von Neumann--Lueders collapse rules in quantum mechanics always select the unique state that maximises the quantum relative entropy with respect to the premeasurem…
Information dynamics and new geometric foundations of quantum theory
Ryszard Paweł Kostecki
We discuss new approach to mathematical foundations of quantum theory, which is completely independent of Hilbert spaces and measure spaces. New kinematics is defined by non-linear…
The general form of gamma-family of quantum relative entropies
Ryszard Paweł Kostecki
We use the Falcone-Takesaki non-commutative flow of weights and the resulting theory of non-commutative Lp spaces in order to define the family of relative entropy functionals that…