5 papers
Unitary Realizations of Synchronizing Automata in Quantum Systems
Jȩdrzej Stempin, Jan Wójcik, Gabriela Banaszak +4
We introduce a quantum analogue of a classical synchronizing automaton. In classical case the state of a system evolves according to a set of rules forming an alphabet, and sequenc…
Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk
Andrzej Grudka, Marcin Karczewski, PaweÅ KurzyÅski +3
This paper investigates Rabi transport and finite-size effects in one-dimensional discrete-time topological quantum walks. We demonstrate the emergence of localized states at bound…
Quantum Resetting Protocols Based on Synchronizing Words
JÄdrzej Stempin, Jan Wójcik, Andrzej Grudka +3
Resetting a system's state plays a fundamental role in physics, engineering, computer science, and many other fields. Here we focus on a method originally proposed in automata theo…
Quantum Synchronizing Words: Resetting and Preparing Qutrit States
Andrzej Grudka, Marcin Karczewski, PaweÅ KurzyÅski +3
Synchronizing words in classical automata theory provide a mechanism to reset any state of a deterministic automaton to a specific target state via a carefully chosen finite sequen…
Indistinguishability in general probabilistic theories
John H. Selby, Victoria J. Wright, Máté Farkas +2
The existence of indistinguishable quantum particles provides an explanation for various physical phenomena we observe in nature. We lay out a path for the study of indistinguishab…