73 citations · 969 across the 61 of their papers we have counts for
6 papers · 1 filter
Symbolic integration with respect to the Haar measure on the unitary group
Zbigniew Puchała, Jarosław Adam Miszczak
We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect t…
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…
Generating and using truly random quantum states in Mathematica
J. A. Miszczak
The problem of generating random quantum states is of a great interest from the quantum information theory point of view. In this paper we present a package for Mathematica computi…