How Does Adiabatic Quantum Computation Fit into Quantum Automata Theory? - Descriptional Complexity of Formal Systems Access content directly
Conference Papers Year : 2019

How Does Adiabatic Quantum Computation Fit into Quantum Automata Theory?

Tomoyuki Yamakami
  • Function : Author
  • PersonId : 1038030

Abstract

Quantum computation has emerged as a powerful computational medium of our time, having demonstrated the efficiency in solving the integer factoring and searching a database faster than any currently known classical computer algorithm. Adiabatic evolution of quantum systems have been studied as a potential means that physically realizes such quantum computation. Up to now, all the research on adiabatic quantum systems has dealt with polynomial time-bounded computation and little attention has been paid to, for example, adiabatic quantum systems consuming only constant memory space. Such quantum systems can be modeled in a form similar to quantum finite automata. This exposition dares to ask a bold question of how to make adiabatic quantum computation fit into the rapidly progressing framework of quantum automata theory. As our answer to this eminent but profound question, we first lay out a basic framework of adiabatic evolutionary quantum systems (AEQSs) with limited computational resources and then establish their close connection to quantum finite automata. We also explore fundamental structural properties of languages solved quickly by such adiabatic evolutionary quantum systems.
Fichier principal
Vignette du fichier
480958_1_En_22_Chapter.pdf (314.24 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02387305 , version 1 (29-11-2019)

Licence

Attribution

Identifiers

Cite

Tomoyuki Yamakami. How Does Adiabatic Quantum Computation Fit into Quantum Automata Theory?. 21th International Conference on Descriptional Complexity of Formal Systems (DCFS), Jul 2019, Košice, Slovakia. pp.285-297, ⟨10.1007/978-3-030-23247-4_22⟩. ⟨hal-02387305⟩
56 View
27 Download

Altmetric

Share

Gmail Facebook X LinkedIn More