QETWORK APVV-14-0878

Title: Quantum theory of graphs and networks
Duration: 01/07/2015 - 28/06/2019
Principal Investigator: doc. Mário Ziman, PhD

Project Annotation: This project is focused on design of effective quantum algorithms, development of quantum-chemistry simulations and distributed quantum-information innovations. All the particular tasks have in commont he concept of quantum network representing complex quantum systems and their topological relations. The network exhibits interactions (in broader sense) and/or correlations between individual quantum systems. Our particular goals within this project are divided into three logical workpackages corresponding to aforementioned research areas: quantum walks and computation, tensor network states and kinematics and dynamics of quantum networks.

Researchers: Mário Ziman, Vladimír Bužek, Andrej Gendiar, Daniel Nagaj, Michal Sedlák, Peter Rapčan, Daniel Reitzner, Tomáš Rybár, Roman Krčmár, Jozef Genzor, Michal Daniška, Libor Caha, Shivang Srivastava

Publications:

1. Roman Krčmár and Ladislav Šamaj: Critical properties of the eight-vertex model in a field, Europhysics Letters 115, 56001 (2016)
2. Claudio Carmeli, Teiko Heinosaari, Daniel Reitzner, Jussi Schultz, Alessandro Toigo: Quantum incompatibility in collective measurements, Mathematics 4, 54 (2016) [arXiv:1605.07551]
3. Michal Sedlák, Daniel Reitzner, Giulio Chiribella, Mário Ziman: Incompatible measurements on quantum causal networks, Phys. Rev. A 93, 052323 (2016) [arXiv:1511.00976]
4. Roman Krčmár, Andrej Gendiar, Tomotoshi Nishino: Phase diagram of truncated tetrahedral model, Phys. Rev. E 94, 022134 (2016) [arXiv:1512.09059]
5. Jozef Genzor, Tomotoshi Nishino, Andrej Gendiar, Tensor networks: Phase transition phenomena on hyperbolic and fractal geometries, Acta Physica Slovaca 67, No.2, 85 – 206 (2017)
6. Sergey N. Filippov, Jyrki Piilo, Sabrina Maniscalco, Mário Ziman: Divisibility of quantum dynamical maps and collision models, Phys. Rev. A 96, 032111 (2017) [arXiv:1708.04994]
7. Daniel Reitzner, Mark Hillery, Daniel Koch: Finding paths with quantum walks or quantum walking through a maze, Phys. Rev. A 96, 032323 (2017) [arXiv:1707.01581]
8. Andris Ambainis, Jānis Iraids, Daniel Nagaj: Exact quantum query complexity of EXACT k,ln , in Lecture Notes in Computer Science 10139, SOFSEM 2017 (Springer, Cham 2017), doi:https://doi.org/10.1007/978-3-319-51963-0_19 [arXiv:1608.02374]
9. Libor Caha, Daniel Nagaj, Martin Schwarz, Shorter unentangled proofs for ground state connectivity, Quantum Inf. Processing 17, 174 (2018)
10. Libor Caha, Zeph Landau, and Daniel Nagaj, Clocks in Feynman's computer and Kitaev's local Hamiltonian: Bias, gaps, idling, and pulse tuning, Phys. Rev. A 97, 062306 (2018)
11. Hana Čenčariková, Jozef Strečka, Andrej Gendiar, Natália Tomašovičová, The influence of further-neighbor spin-spin interaction on a ground state of 2D coupled spin-electron model in a magnetic field, Physica B: Condensed Matter 536, 432-438 (2018)
12. Teiko Heinosaari, Daniel Reitzner, Tomáš Rybár, and Mário Ziman, Incompatibility of unbiased qubit observables and Pauli channels, Phys. Rev. A 97, 022112 (2018)
13. Michal Daniska and Andrej Gendiar: Study of classical and quantum phase transitions on non-Euclidean geometries in higher dimensions, Acta Physica Slovaca 68, 187 – 286 (2018)
14. Daniel Reitzner and Mark Hillery, Grover search under localized dephasing, Phys. Rev. A 99, 012339 (2019)
15. Sanjaye Ramgoolam, Michal Sedlák: Quantum Information Processing and Composite Quantum Fields, J. High Energ. Phys. 2019, 170 (2019) [arXiv:1809.05156]
16. Michal Sedlák, Alessandro Bisio, Mário Ziman: Optimal probabilistic storage and retrieval of unitary channels, Phys. Rev. Lett. 122, 170502 (2019) [arXiv:1809.04552]
17. David Davalos, Mário Ziman, Carlos Pineda: Divisibility of qubit channels and dynamical maps, Quantum 3, 144 (2019) [arXiv:1812.11437]
18. Roman Krčmár, Andrej Gendiar, Tomotoshi Nishino: Phase transition of the six-state clock model observed from the entanglement entropy, submitted to Phys. Rev. E [arXiv:1612.07611]
19. Martin Plávala, Mário Ziman: Popescu-Rohrlich box implementation in general probabilistic theory of processes, submitted to Quantum, [arXiv:1708.07425]
20. Libor Caha, Daniel Nagaj: The pair-flip model: a very entangled translationally invariant spin chain, submitted to Quantum Information Processing [arXiv:1805.07168]
21. Michal Sedlák, Alessandro Bisio: On some new hook-content identities, submitted to Journal of Algebraic Combinatorics [arXiv:1809.02008]
22. Andre M. C. Souza, Peter Rapčan, Constantino Tsallis: Entanglement can preserve the compact nature of the phase-space occupancy submitted to European Journal of Physics Plus [arXiv:1707.08527]
23. Dominik Hangleiter, Ingo Roth, Daniel Nagaj, Jens Eisert: Easing the Monte Carlo sign problem [arXiv:1906.02309]