Methods of development, modelling and analysis of quantum internetworking protocols
Metody tworzenia, modelowania i analizy protokołów w intersieciach kwantowych
description:
The main objective of this project is to develop new protocols for controlling
the networks of quantum processing units connected by quantum channels. This
type of networks requires new methods allowing to fully utilize the capabilities
offered by quantum information processing. Quantum internetworking protocols
should be able to exploit the quantum effects, including quantum teleportation,
dense coding and quantum key distribution. These effects operate on classical
and quantum data and thus quantum internetworking protocols have to provide
the means for operating on both types of data.
Currently quantum effects of dense coding and teleportation may lead to the
conclusion that quantum information transmission allows for more efficient and
safer data transmission in comparison to classical communication. The creation
and testing of the model planned in the project will give an opportunity to
verify this conviction.
Piotr Zawadzki, Silesian University of Technology, Gliwice, Poland
publications:
A. Glos, J.A. Miszczak, Impact of the malicious input data modification on the efficiency of quantum spatial search, Quantum Information Processing, Vol. 18 (2019), pp. 343. DOI:10.1007/s11128-019-2459-3, arXiv:1802.10041
A. Glos, A. Krawiec, R. Kukulski, Z. Puchała, Vertices cannot be hidden from quantum spatial search for almost all random graphs, Quantum Information Processing, Vol. 17, 81 (2018). arXiv:1709.06829
M. Mc Gettrick, J.A. Miszczak, Quantum walks with memory on cycles, Physica A, Vol. 399 (2014), pp. 163-170. arXiv:1301.2905 DOI:10.1016/j.physa.2014.01.002
P. Sadowski, J.A. Miszczak, M. Ostaszewski, Lively quantum walks on cycles, J. Phys. A: Math. Theor., Vol. 49, No. 37 (2016), pp. 375302. arXiv:1512.02802 DOI:10.1088/1751-8113/49/37/375302
Ł. Pawela, P. Gawron, J.A. Miszczak, P. Sadowski, Generalized open quantum walks on Apollonian networks, PLoS ONE, Vol. 10, No. 7 (2015), pp. e0130967. arXiv:1407.1184 DOI:10.1371/journal.pone.0130967
J.A. Miszczak, P. Sadowski, Quantum network exploration with a faulty sense of direction, Quantum Information & Computation, Vol. 14, No. 13&14 (2014), pp. 1238-1250. arXiv:1308.5923
A. Glos, J.A. Miszczak, The role of quantum correlations in Cop and Robber game, Quantum Stud.: Math. Found., (2018), arXiv:1702.07932 DOI:10.1007/s40509-017-0148-4
A. Glos, J.A. Miszczak, M. Ostaszewski, Limiting properties of stochastic quantum walks on directed graphs, J. Phys. A: Math. Theor., Vol. 51, No. 3 (2018), pp. 035304. arXiv:1703.01792 DOI:10.1088/1751-8121/aa9a4a
P. Zawadzki, J.A. Miszczak, A general scheme for information interception in the ping pong protocol, Advances in Mathematical Physics, Vol. 2016 (2016), pp. 3162012. arXiv:1606.02108, DOI:10.1155/2016/3162012
P. Zawadzki, Eavesdropping on quantum secure direct communication in quantum channels with arbitrarily low loss rate, Quantum Information Processing, Vol. 15, pp 1731-1741 (2016), DOI:10.1007/s11128-015-1232-5
P. Zawadzki, An improved control mode for the Ping-Pong protocol operation in imperfect quantum channels, Quantum Information Processing, Vol. 14, pp. 2589-2598 (2015), DOI:10.1007/s11128-015-0989-x
J.A. Miszczak, Ł. Pawela, J. Sładkowski, General model for a entanglement-enhanced composed quantum game on a two-dimensional lattice, Fluctuation and Noise Letters, Vol. 13, No. 2 (2014), pp. 1450012. arXiv:1306.4506,
DOI:10.1142/S0219477514500126
A. Glos, P. Sadowski, Constructive quantum scaling of unitary matrices. Quantum Inf Process 15, 5145–5154 (2016). DOI:10.1007/s11128-016-1448-z
D. Kurzyk, A. Glos, Quantum inferring acausal structures and the Monty Hall problem. Quantum Inf Process 15, 4927–4937 (2016). DOI:10.1007/s11128-016-1431-8
Z. Puchała, A. Jenčová, M. Sedlák, and M. Ziman Exploring boundaries of quantum convex structures: Special role of unitary processes, Phys. Rev. A 92, 012304 (2015). DOI:10.1103/PhysRevA.92.012304
P. Sadowski, Generating efficient quantum circuits for preparing maximally multipartite entangled states, International Journal of Quantum Information, Vol. 11, No. 07, 1350067 (2013), DOI:10.1142/S0219749913500676
M Ostaszewski, P Sadowski, P Gawron, Quantum image classification using principal component analysis, Theoretical and Applied Informatics 27 (1), 1-12 (2015) arXiv:1504.00580
J.A. Miszczak, Functional framework for representing and transforming quantum channels, In: Proc. Applications of Computer Algebra (ACA2013), Malaga, 2-6 July 2013, J.L. Galan Garcia, G. Aguilera Venegas, P. Rodriguez Cielos, (eds.), 2013 arXiv:1307.4906
J.A. Miszczak, States and channels in quantum mechanics without complex numbers, Springer Proceedings in Mathematics & Statistics. Proc. of ACA 2015: Applications of Computer Algebra, Vol. 198 (2017), pp. 305-316. arXiv:1603.04787, DOI:10.1007/978-3-319-56932-1_21
dissemination:
Invited talk Applications of quantum walks", 2nd COST IC1405 meeting, 24th-26th Feb 2016, Lisbon, Portugal, 24/02/2016"
Wykład dla studium doktroanckiego "Podstawy obliczeń kwantowych", Instytut Badań Systemowych, Warszawa, 17/12/2016
Poster "Spontaneous moralization problem in quantum stochastic walk", Theory of Quantum Computation, Communication and Cryptography,
Paris, France, 06.2017
Poster "The role of quantum correlations in Cop and Robber game", 14th Central European Quantum Information Processing Workshop, Smolenice, Slovakia, 05–06.2017
Poster "Constructive quantum scaling of unitary matrices", 13th Central European Quantum Information Processing Workshop, Valtice, Czech Republic, 06.2016
Poster "Inference in quantum Bayesian networks", 12th Central European Quantum Information Processing Workshop, Telč,
Czech Republic, 10.2015
Organizacja sesji specjalnej "Computer algebra in quantum computing and quantum information theory " na konferencji 21st International Conference on Applications of Computer Algebra 2015 (ACA2015). Informacje dostępne na stronie: http://iitis.pl/~miszczak/aca2015/
Poster "Exploring quantum networks with faulty sense of direction", First Workshop on Quantum Networks and Repeaters, Pacific Groove, USA, 17/05/2015.
Wykład "Modelling of quantum informatics systems with the use of quantum programming languages and symbolic computation", WAT, Instytut Systemów Informatycznych, Warszawa, 25/07/2013"
Wykład "Functional framework for representing and transforming quantum channels", 19th Conference on Applications of Computer Algebra, Malaga, Spain, 02/07/2013
acknowledgments:
This project has been supported by the Polish
National Science Center SONATA call under
the grant agreement 2011/03/D/ST6/00413 for the period 2012-09-03 - 2018-01-02.