393 citations
- Polish Academy of SciencesPL194 papers
- Jagiellonian UniversityPL58 papers
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- University of Silesia in KatowicePL22 papers
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7 papers · 1 filter
Notes on the Riccati operator equation in open quantum systems
Bartek Gardas, Zbigniew Puchala
A recent problem [B. Gardas, J. Math. Phys. 52, 042104 (2011)] concerning an antilinear solution of the Riccati equation is solved. We also exemplify that a simplification of the R…
Noise effects in the quantum search algorithm from the computational complexity point of view
Piotr Gawron, Jerzy Klamka, Ryszard Winiarczyk
We analyse the resilience of the quantum search algorithm in the presence of quantum noise modelled as trace preserving completely positive maps. We study the influence of noise on…
Qubit flip game on a Heisenberg spin chain
Jarosław A. Miszczak, Piotr Gawron, Zbigniew Puchała
We study a quantum version of a penny flip game played using control parameters of the Hamiltonian in the Heisenberg model. Moreover, we extend this game by introducing auxiliary s…
Probability measure generated by the superfidelity
Zbigniew Puchała, Jarosław Adam Miszczak
We study the probability measure on the space of density matrices induced by the metric defined by using superfidelity. We give the formula for the probability density of eigenvalu…
Eigengestures for natural human computer interface
Piotr Gawron, Przemysław Głomb, Jarosław Adam Miszczak +1
We present the application of Principal Component Analysis for data acquired during the design of a natural gesture interface. We investigate the concept of an eigengesture for mot…
Numerical shadow and geometry of quantum states
Charles F. Dunkl, Piotr Gawron, John A. Holbrook +3
The totality of normalised density matrices of order N forms a convex set Q_N in R^(N^2-1). Working with the flat geometry induced by the Hilbert-Schmidt distance we consider image…