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The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case
Roman Gielerak, Joanna Wiśniewska, Marek Sawerwain
By a use of the Fredholm determinant theory, the unified quantum entropy notion has been extended to a case of infinite-dimensional systems. Some of the known (in the finite-dimens…
Maximally entangled states of quantum systems: some numerical studies
Roman Gielerak, Marek Sawerwain
Gram matrix approach to an entanglement analysis of pure states describing -- quantum systems is being introduced. In particular, maximally entangled states are descri…
A Gramian Approach to Entanglement in Bipartite Finite Dimensional Systems: The case of pure states
Roman Gielerak, Marek Sawerwain
It has been observed that the reduced density matrices of bipartite qudit pure states possess a Gram matrix structure. This observation has opened a possibility of analysing the en…
Recommendation systems with quantum k-NN and Grover's algorithms for data processing
Marek Sawerwain, Marek Wróblewski
In this article, we discuss the implementation of a quantum recommendation system that uses a quantum variant of the k-nearest neighbours algorithm and the Grover algorithm to sear…
QTM: computational package using MPI protocol for quantum trajectories method
Marek Sawerwain, Joanna Wiśniewska
The Quantum Trajectories Method (QTM) is one of {the} frequently used methods for studying open quantum systems. { The main idea of this method is {the} evolution of wave functions…
Quantum Coherence Measures for Quantum Switch
Marek Sawerwain, Joanna Wiśniewska
We suppose that a structure working as a quantum switch will be a significant element of future networks realizing transmissions of quantum information. In this chapter we analyze…