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…
Sending absolutely maximally entangled states through noisy quantum channels
Maria Stawska, Jan Wójcik, Andrzej Grudka +1
Absolutely maximally entangled states are quantum states that exhibit maximal entanglement across any bipartition, making them valuable for applications. This study investigates th…
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…