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20042019
most citedRestricted numerical range: a versatile tool in the theory of quantum information

46 citations · 415 across the 26 of their papers we have counts for

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18 papers · 1 filter

quant-ph2019

Parallel in time dynamics with quantum annealers

Konrad Jałowiecki, Andrzej Więckowski, Piotr Gawron +1

Recent years have witnessed an unprecedented increase in experiments and hybrid simulations involving quantum computers. In particular, quantum annealers. Although quantum supremac…

quant-ph2018★ 21 cited

QuantumInformation.jl---a Julia package for numerical computation in quantum information theory

Piotr Gawron, Dariusz Kurzyk, Łukasz Pawela

Numerical investigations are an important research tool in quantum information theory. There already exists a wide range of computational tools for quantum information theory imple…

quant-ph2015★ 20 cited

Quantum image classification using principal component analysis

Mateusz Ostaszewski, Przemysław Sadowski, Piotr Gawron

We present a novel quantum algorithm for classification of images. The algorithm is constructed using principal component analysis and von Neuman quantum measurements. In order to…

quant-ph2015★ 17 cited

Quantum Hidden Markov Models based on Transition Operation Matrices

Michał Cholewa, Piotr Gawron, Przemysław Głomb +1

In this work, we extend the idea of Quantum Markov chains [S. Gudder. Quantum Markov chains. J. Math. Phys., 49(7), 2008] in order to propose Quantum Hidden Markov Models (QHMMs).…

quant-ph2014

Relativistic quantum pseudo-telepathy

Piotr Gawron, Łukasz Pawela

We analyze the impact of the Unruh effect on the quantum Magic Square game. We find the values of acceleration parameter for which quantum strategy yields higher players' winning p…

quant-ph2014★ 17 cited

Generalized open quantum walks on Apollonian networks

Ł. Pawela, P. Gawron, J. A. Miszczak +1

We introduce the model of generalized open quantum walks on networks using the Transition Operation Matrices formalism. We focus our analysis on the mean first passage time and the…

quant-ph2013★ 23 cited

Decoherence effects in the quantum qubit flip game using Markovian approximation

Piotr Gawron, Dariusz Kurzyk, Łukasz Pawela

We are considering a quantum version of the penny flip game, whose implementation is influenced by the environment that causes decoherence of the system. In order to model the deco…

quant-ph2012★ 12 cited

Enhancing pseudo-telepathy in the Magic Square game

Łukasz Pawela, Piotr Gawron, Zbigniew Puchała +1

We study the possibility of reversing an action of a quantum channel. Our principal objective is to find a specific channel that reverses as accurately as possible an action of a g…

quant-ph2012★ 4 cited

A model for quantum queue

Piotr Gawron, Dariusz Kurzyk, Zbigniew Puchała

We consider an extension of Discrete Time Markov Chain queueing model to the quantum domain by use of Discrete Time Quantum Markov Chain. We introduce methods for numerical analysi…

quant-ph2012★ 16 cited

Restricted numerical shadow and geometry of quantum entanglement

Zbigniew Puchała, Jarosław Adam Miszczak, Piotr Gawron +3

The restricted numerical range of an operator acting on a -dimensional Hilbert space is defined as a set of all possible expectation values of this operator among p…

quant-ph2011★ 26 cited

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…

quant-ph2011★ 17 cited

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…

quant-ph2011★ 37 cited

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…

quant-ph2009★ 15 cited

Noisy quantum Monty Hall game

Piotr Gawron

The influence of spontaneous emission channel and generalized Pauli channel on quantum Monty Hall Game is analysed. The scheme of Flittney and Abbott is reformulated using the form…

quant-ph2009★ 46 cited

Restricted numerical range: a versatile tool in the theory of quantum information

Piotr Gawron, Zbigniew Puchała, Jarosław Adam Miszczak +2

Numerical range of a Hermitian operator X is defined as the set of all possible expectation values of this observable among a normalized quantum state. We analyze a modification of…

quant-ph2008★ 27 cited

Noise Effects in Quantum Magic Squares Game

P. Gawron, J. A. Miszczak, J. Sladkowski

In the article we analyse how noisiness of quantum channels can influence the magic squares quantum pseudo-telepathy game. We show that the probability of success can be used to de…

quant-ph2005★ 14 cited

Quantum Implementation of Parrondo's Paradox

J. A. Miszczak, P. Gawron

We propose a quantum implementation of a capital-dependent Parrondo's paradox that uses qubits, where is the number of Parrondo games. We present its implementat…

quant-ph2004★ 9 cited

Numerical simulations of mixed states quantum computation

P. Gawron, J. A. Miszczak

We describe quantum-octave package of functions useful for simulations of quantum algorithms and protocols. Presented package allows to perform simulations with mixed states. We pr…