<\/p>\n
O mini-curso \u00e9 voltado para pesquisadores, estudantes de p\u00f3s-gradua\u00e7\u00e3o, e estudantes no fim da gradua\u00e7\u00e3o, que tenham interesse nos fundamentos da teoria qu\u00e2ntica e na teoria qu\u00e2ntica da informa\u00e7\u00e3o. As aulas ser\u00e3o ministradas em ingl\u00eas.<\/p>\n
Passeios qu\u00e2nticos (quantum walks) s\u00e3o an\u00e1logos qu\u00e2nticos dos passeios aleat\u00f3rios cl\u00e1ssicos. Nos passeios aleat\u00f3rios cl\u00e1ssicos, o sistema caminhante evolui ao longo de um \u00fanico caminho, aleat\u00f3rio, enquanto, nos passeios qu\u00e2nticos, o sistema caminhante pode evoluir em uma superposi\u00e7\u00e3o de diferentes caminhos, e sofrer efeitos de interfer\u00eancia. Passeios qu\u00e2nticos t\u00eam propriedades fundamentais muito interessantes e desempenham papel importante em uma variedade de aplica\u00e7\u00f5es, incluindo computa\u00e7\u00e3o qu\u00e2ntica e simula\u00e7\u00e3o de sistemas qu\u00e2nticos.<\/p>\n
O Prof. Pawe\u0142 Kurzy\u0144ski \u00e9 Mestre (2005), Doutor (2007), Livre-Docente (Habilitation, 2015), e Professor Titular (2024) em F\u00edsica, todos os t\u00edtulos obtidos na Adam Mickiewicz University em Pozna\u0144, na Pol\u00f4nia, onde atua como docente desde 2007. Desde 2010, atua como pesquisador visitante no Centre for Quantum Technologies, na National University of Singapore, em Singapura.<\/p>\n
Seus interesses de pesquisa incluem os fundamentos da teoria qu\u00e2ntica e a teoria qu\u00e2ntica da informa\u00e7\u00e3o (contextualidade, n\u00e3o-localidade, indistinguibilidade, emaranhamento, transi\u00e7\u00e3o qu\u00e2ntico-cl\u00e1ssica), e din\u00e2mica de sistemas qu\u00e2nticos (passeios qu\u00e2nticos, sincroniza\u00e7\u00e3o, sistemas qu\u00e2nticos abertos, aut\u00f4matos celulares qu\u00e2nticos). \u00c9 autor de mais de 70 artigos cient\u00edficos, muitos dos quais, particularmente, s\u00e3o importantes refer\u00eancias na \u00e1rea de passeios qu\u00e2nticos.<\/p>\n
The aim of this mini-course is to familiarise the audience with quantum walks, their relation to classical random walks, their relation to physical systems and their application in quantum information science. It consists of three lectures that will cover the following topics:<\/p>\n
\u2022 Quick overview of the field \u2013 theory and experiment
\n\u2022 Classical random walks:
\n\u2013 History and applications in sciences
\n\u2013 Graphs and adjacency matrices
\n\u2013 Discrete-time and continuous-time random walks
\n\u2013 Stochastic processes and stationary states
\n\u2022 Quantisation of a classical random walk:
\n\u2013 The problem with unitarity
\n\u2013 Continuous-time quantum walks and Hamiltonians
\n\u2013 Discrete-time quantum walks and the necessity of a coin
\n\u2013 Quantum walks on graphs \u2013 which graphs?
\n\u2013 The problem of a stationary state<\/p>\n
\u2022 Differences between classical and quantum walks:
\n\u2013 Classical random walk in 1D
\n\u2013 Quantum walk in 1D
\n\u2013 Standard deviation and speedup
\n\u2022 Relation to physics
\n\u2013 Continuous versions of quantum walks
\n\u2013 Dirac equation, Feynman checkboard model and discrete relativistic quantum theory
\n\u2013 Velocity operator and zitterbewegung (trembling motion)
\n\u2022 Quantum walks in higher dimensions
\n\u2013 2D quantum walks and the coin space
\n\u2013 Grover walk and localisation \u2013 not of Anderson type
\n\u2013 Beyond 2D<\/p>\n
\u2022 Quantum walk based algorithms:
\n\u2013 Grover search and quantum walk
\n\u2013 Search on a structured database
\n\u2013 Universal computation
\n\u2022 Quantum walks as quantum simulators
\n\u2013 Condensed matter systems
\n\u2013 Topological effects
\n\u2013 Multipartite quantum walks and quantum cellular automata \u2013 we need quantum computers
\n\u2022 Some experimental implementations
\n\u2013 Photons walking on graphs and in integrated optical chips
\n\u2013 Cold atoms walking in optical lattices
\n\u2013 Other platforms<\/p>\n
<\/p>","protected":false},"excerpt":{"rendered":"
Quantum Walks – mini curso em 3 aulas Prof. Pawe\u0142 Kurzy\u0144ski pawel.kurzynski[arroba]amu.edu.pl Universidade Adam Mickiewicz em Pozna\u0144, Pol\u00f4nia Dias 10, 11, e 12 de Junho de 2024, de 16:00 a 17:30, no IFGW Inscri\u00e7\u00f5es abertas at\u00e9 dia 07\/06, neste link. O mini-curso \u00e9 voltado para pesquisadores, estudantes de p\u00f3s-gradua\u00e7\u00e3o, e estudantes no fim da gradua\u00e7\u00e3o, … <\/p>\n