12 citations · 26 across the 15 of their papers we have counts for
17 papers
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…
Variational Quantum Eigensolver for Classification in Credit Sales Risk
Joanna Wiśniewska, Marek Sawerwain
The data classification task is broadly utilized in numerous fields of science and it may be realized by different known approaches (e.g. neural networks). However, in this work, q…
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…
Quantum qubit switch: entropy and entanglement
Marek Sawerwain, Joanna Wiśniewska
The quantum entanglement is considered as one of the most important notions of quantum computing. The entanglement is a feature of quantum systems and it is used as a basis for man…
Quantum network protocol for qudits with use of quantum repeaters and Pauli Z-type operational errors
Marek Sawerwain, Joanna Wiśniewska
In this chapter a quantum communication protocol with use of repeaters is presented. The protocol is constructed for qudits i.e. the generalized quantum information units. One-dit…
FPGA-Based Bandwidth Selection for Kernel Density Estimation Using High Level Synthesis Approach
Artur Gramacki, Marek Sawerwain, Jarosław Gramacki
FPGA technology can offer significantly hi\-gher performance at much lower power consumption than is available from CPUs and GPUs in many computational problems. Unfortunately, pro…
The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin Chains
Marek Sawerwain, Joanna Wiśniewska
The quantum entanglement is an important feature of many protocols in the field of quantum computing. In this paper we evaluate a level of entanglement in short qutrit chains. This…
Quantum circuits based on qutrits as a tool for solving systems of linear equations
Marek Sawerwain, Wiesław Leoński
Recently, it has been presented some algorithms and physical models which give prospects for construction of quantum computers capable to solve systems of linear equations. The com…
Transfers of entanglement qudit states in quantum networks
Marek Sawerwain, Joanna Wiśniewska
The issue of quantum states' transfer -- in particular, for so-called Perfect State Transfer (PST) -- in the networks represented by the spin chains seems to be one of the major co…
GPGPU based simulations for one and two dimensional quantum walks
Marek Sawerwain, Roman Gielerak
Simulations of standard 1D and 2D quantum walks have been performed within Quantum Computer Simulator (QCS system) environment and with the use of GPU supported by CUDA technology.…
Twopartite, combinatorial approach to partial k-separability problem for general multipartite states
Roman Gielerak Marek Sawerwain
We describe a general methods to localize any sort of k-separability and therefore also the corresponding partial entanglement in genuinely multipartite mixed quantum states. Our m…
Sorting of quantum states with respect to amount of entanglement included
Roman Gielerak, Marek Sawerwain
The canonical Schmidt decomposition of quantum states is discussed and its implementation to the Quantum Computation Simulator is outlined. In particular, the semiorder relation in…
Generalised quantum weakest preconditions
Roman Gielerak, Marek Sawerwain
Generalisation of the quantum weakest precondition result of D'Hondt and Panangaden is presented. In particular the most general notion of quantum predicate as positive operator va…