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Quantum Walks

Within the theory of Quantum Computation we may find several models reaching this aim. One such method is the utilization of Quantum Walks, which are 'counterparts' to classical random walks. Such construction can then provide us with different speed-ups and, hence, may lead to algorithms, that are faster than their classical counterparts. I am especially interested in the model of Scattering Quantum Walks.


M. Hillery, H. Zheng, E. Feldman, D. Reitzner, V. Buzek: Quantum walks as a probe of structural anomalies in graphs, Phys. Rev. A 85, 062325 (2012) ENG

D. Reitzner, D. Nagaj, V. Buzek: Quantum Walks, Acta Physica Slovaca 61, 603 (2011) ENG

E. Feldman, M. Hillery, H.-W. Lee, D. Reitzner, H. Zheng, V. Buzek: Finding structural anomalies in graphs by means of quantum walks, Phys. Rev. A 82, 040301(R) (2010) ENG

M. Hillery, D. Reitzner, V. Buzek: Searching via walking: How to find a marked clique of a complete graph using quantum walks, Phys. Rev. A 81, 062324 (2010) ENG

D. Reitzner, M. Hillery, E. Feldman, V. Buzek: Quantum Searches on Highly Symmetric Graphs, Phys. Rev. A 79, 012323 (2009) ENG

Joint Measurability

Joint measurability of sharp observables is a well studied problem. It is well known, that two sharp observables are jointly measurable if and only if they commute. Under scrutinized look, however, study of observables is more involved. One can go even further by considering different types of measurement and look on the coexistence within these models.


T. Heinosaari, J. Kiukas, D. Reitzner: Coexistence of effects from an algebra of two projections, J. Phys. A: Math. Theor. 47, 225301 (2014) - IOPselect ENG

T. Heinosaari, T. Miyadera, D. Reitzner: Strongly Incompatible Quantum Devices, accepted for publication in Foundations of Physics ENG

D. Reeb, D. Reitzner, M.M.Wolf: Coexistence does not imply Joint Measurability, J. Phys. A: Math. Theor. FT 46, 462002 (2013) - JPhysA Highlights of 2013 ENG

T. Heinosaari, M.A. Jivulescu, D. Reitzner, M. Ziman: Approximating incompatible von Neumann measurements simultaneously, Phys. Rev. A 82, 032328, arXiv:1005.0472v1 [quant-ph] (2010) ENG

T. Heinosaari, D. Reitzner, P. Stano, M. Ziman: Coexistence of quantum operations, J. Phys. A: Math. Theor. 42, 365302 (2009) ENG

T. Heinosaari, D. Reitzner, P. Stano: Notes on Joint Measurability of Quantum Observables, Found Phys 38, 1133 (2008) ENG

P. Stano, D. Reitzner, T. Heinosaari: Coexistence of Qubit Effects, Phys. Rev. A 78, 012315 (2008) ENG
See also Coexistence of Qubit Effects from The Wolfram Demonstrations Project, contributed by: Peter Stano, Daniel Reitzner, and Teiko Heinosaari

T. Heinosaari, P. Stano, D. Reitzner: Approximate Joint Measurability of Spin Along Two Directions, International Journal of Quantum Information 6, 975 (2008) ENG

Other Interests

Light in gravitational field ENG | PDF | PS | LINK

Black hole figure

Východ a západ Slnka (Sunrise and sunset) SK | PDF

Earth coordination system figure

About picking colored elements from a set ENG | PDF

Metóda Monte Carlo pri konštrukcii veľkoškálových hamiltoniánov vybraných spinových systémov (Diploma thesis: Monte Carlo Method in Construction of Large-scale Hamiltonians of Selected Spin Systems) SK | PDF

S. Mockovčiak, P. Baláž, D. Reitzner, M. Žonda: Všeobecná teória relativity (poznámky k prednáškam - rozšírený učebný text) SK | PDF

Niekoľko zaujímavých úloh pre voľný čas (Several interesting mindbenders for your free time) SK | PDF