Publikációk
Referált publikációk:
| [1] | A. Andai, A. Lovas. |
Quantum Aitchison geometry. | |
| Infinite Dimensional Analysis, Quantum Probability and Related Topics 24, 01, 2150001, 2021. arXiv:2003.08582 | |
| [2] | A. Lovas, A. Andai. |
Volume of the space of qubit-qubit channels and state transformations under random quantum channels. | |
| Reviews in Mathematical Physics 30, 10, 1850019, 2018. arXiv:1708.07387 | |
| [3] | A. Andai. |
The Effects of Random Qubit-Qubit Quantum Channels to Entropy Gain, Fidelity and Trace Distance. | |
| Ay N., Gibilisco P., Matúš F. (Editors): Information Geometry and Its Applications IGAIA IV 2016. | |
| Springer Proceedings in Mathematics & Statistics 252 , 431-443, 2018. | |
| [4] | A. Lovas, A. Andai. |
Invariance of separability probability over reduced states in 4×4 bipartite systems. | |
| Journal of Physics A: Mathematical and Theoretical 50, 29, 295303, 2017. arXiv:1610.01410v3 | |
| [5] | A. Lovas, A. Andai. |
Refinement of Robertson-type uncertainty principles with geometric interpretation. | |
| International Journal of Quantum Information 14, 2, 1650013, 2016. arXiv:1311.5069 | |
| [6] | A. Andai, A. Lovas. |
On Robertson-Type Uncertainty Principles. | |
| Václav Kratochvíl (Editor): Information Geometry and its Applications IV. | |
| Banach Center Publications 73 , 28-29, 2016. | |
| [7] | A. Lovas, A. Andai. |
Volume of the space of qubit channels and the distribution of some scalar quantities on it. | |
| Václav Kratochvíl (Editor): Information Geometry and its Applications IV. | |
| Banach Center Publications 73 , 48-49, 2016. | |
| [8] | A. Lovas, A. Andai. |
Mértékek abszolút és szimmetrikus normákon. (Measure on gauge invariant symmetric norms) | |
| Alkalmazott Matematikai Lapok 32, 1-16, 2015. arXiv:1504.04149 | |
| [9] | I. Németi, J. X. Madarász, H. Andréka, A. Andai. |
Visualizing ideas about Gödel-type rotating universes. | |
| M. Scherfner and M. Plaue. (Editors): Gödel-type Spacetimes: History and New Developments. | |
| Kurt Godel Society, Collegium Logicum X , 77-127, 2010. arXiv:0811.2910v1 | |
| [10] | A. Andai. |
On the geometry of generalized Gaussian distributions. | |
| Journal of Multivariate Analysis 100, 777-793, 2008. arXiv:0706.0606v1 | |
| [11] | A. Andai. |
Uncertainty principle with quantum Fisher information. | |
| Journal of Mathematical Physics 49, 012106, 2008. arXiv:0707.1147 | |
| [12] | A. Andai. |
On the curvature of the quantum state space with pull-back metrics. | |
| Linear Algebra and Its Applications 423, 287-304, 2007. math-ph. 0604031 | |
| [13] | A. Andai. |
Volume of the quantum mechanical state space. | |
| Journal of Physics A: Mathematical and Theoretical 39, 13641-13657, 2006. math-ph. 0604032 | |
| [14] | A. Andai. |
On the curvature of the space of qubits. | |
| Banach Center Publications 73, 35-48, 2006. pdf | |
| [15] | A. Andai. |
Monotone Riemannian metrics on density matrices with non-monotone scalar curvature. | |
| Journal of Mathematical Physics 44, 3675-3688, 2003. math-ph. 0305060 | |
| [16] | Andai A.. |
A III. típusú Neumann-algebrák osztályozása. | |
| Matematikai Lapok 6, 40-46, 2000. pdf | |
| [17] | P. W. Michor, D. Petz, A. Andai. |
On the curvature of a certain Riemannian space of matrices. | |
| Infinite Dimensional Analysis, Quantum Probability and Related Topics 3, 199-212, 2000. math.DG. 9909157 | |
| [18] | Z. Somogyvári, A. Andai, Gy. Székely, P. Érdi. |
On the role of self-excitation in the development of topographic order in the visual system of the frog. | |
| Biosystems 48, 215-222, 1998. pdf | |
| [19] | Z. Somogyvári, A. Andai, Gy. Székely, P. Érdi. |
A self-organizing model of the ontogeny of the frog's visual system the generaion of the anisotropy. | |
| Robert Trappl (editor): Cybernetics and Systems Research: '98 Austrian Society for Cybernetic Studies, Vienna, 317-322, 1998. |
Dolgozatok:
| [1] | Andai A. |
Információgeometria a kvantummechanikában. | |
| PhD dolgozat, BME, Alkalmazott matematika, 2003. pdf | |
| [2] | Andai A. |
A kvantummechanika matematikai alapjairól. | |
| Diplomamunka, ELTE, fizikus szak, 1998. pdf |
További dolgozatok:
| [1] | B. Bárány, A. Andai. |
Description of the free motion with momentums in Gödels's universe. | |
| Preprint, 2008. arXiv:0807.4107 | |
| [2] | A. Andai. |
On the monotonicity conjecture for the curvature of the Kubo-Mori metric. | |
| Preprint, 2003. math-ph. 0310064 | |
| [3] | H. Andréka, J. Madarász, I. Németi, contribution with A. Andai, G. Sági, I. Sain, Cs. Tőke. |
On the logical structure of relativity theories. | |
| Research report, Alfréd Rényi Institute of Mathematics, Hungar. Acad. Sci., Budapest, 2001. |