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Herein we survey the main results concerning quantum automata and machines with classical control. These machines were originally proposed by Sernadas et al in [37], during the FCT QuantLog project. First, we focus on the expressivity of…

量子物理 · 物理学 2017-09-06 Paulo Mateus , Daowen Qiu , Andre Souto

Quantum computing is concerned with computer technology based on the principles of quantum mechanics, with operations performed at the quantum level. Quantum computational models make it possible to analyze the resources required for…

形式语言与自动机理论 · 计算机科学 2019-01-24 Amandeep Singh Bhatia , Ajay Kumar

The question of whether quantum real-time one-counter automata (rtQ1CAs) can outperform their probabilistic counterparts has been open for more than a decade. We provide an affirmative answer to this question, by demonstrating a…

计算复杂性 · 计算机科学 2014-01-29 A. C. Cem Say , Abuzer Yakaryilmaz

We consider the computational model of the Queue Automaton. An old result is that the deterministic queue automaton is equally expressive as the Turing machine. We introduced the Reactive Turing Machine, enhancing the Turing machine with a…

形式语言与自动机理论 · 计算机科学 2025-02-13 Jos C. M. Baeten , Bas Luttik

In this thesis, we introduce a new quantum Turing machine (QTM) model that supports general quantum operators, together with its pushdown, counter, and finite automaton variants, and examine the computational power of classical and quantum…

计算复杂性 · 计算机科学 2011-02-03 Abuzer Yakaryilmaz

In automata theory, the quantum computation has been widely examined for finite state machines, known as quantum finite automata (QFAs), and less attention has been given to the QFAs augmented with counters or stacks. Moreover, to our…

计算复杂性 · 计算机科学 2011-05-10 Abuzer Yakaryilmaz

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted…

形式语言与自动机理论 · 计算机科学 2018-07-05 Andris Ambainis , Abuzer Yakaryılmaz

Quantum cellular automata are alternative quantum-computing paradigms to quantum Turing machines and quantum circuits. Their working mechanisms are inherently automated, therefore measurement free, and they act in a translation invariant…

量子物理 · 物理学 2025-07-28 Thiago L. M. Guedes , Don Winter , Markus Müller

Multi-stack machines and Turing machines can simulate to each other. In this note, we give a succinct definition of multi-stack machines, and from this definition it is clearly seen that pushdown automata and deterministic finite automata…

形式语言与自动机理论 · 计算机科学 2025-11-24 Daowen Qiu

The main goal of this paper is to give a rigorous mathematical description of systems for processing quantum information. To do it authors consider abstract state machines as models of classical computational systems. This class of machines…

计算复杂性 · 计算机科学 2012-06-12 Mizal Alobaidi , Andriy Batyiv , Grygoriy Zholtkevych

We present five examples where quantum finite automata (QFAs) outperform their classical counterparts. This may be useful as a relatively simple technique to introduce quantum computation concepts to computer scientists. We also describe a…

形式语言与自动机理论 · 计算机科学 2014-06-17 A. C. Cem Say , Abuzer Yakaryilmaz

Some of the most interesting and important results concerning quantum finite automata are those showing that they can recognize certain languages with (much) less resources than corresponding classical finite automata…

形式语言与自动机理论 · 计算机科学 2019-02-20 Shenggen Zheng , Jozef Gruska , Daowen Qiu

Quantum computing promises the ability to compute properties of quantum systems exponentially faster than classical computers. Quantum advantage is achieved when a practical problem is solved more efficiently on a quantum computer than on a…

量子物理 · 物理学 2025-12-03 William A. Simon , Peter J. Love

Quantum finite automata were introduced by C.Moore, J.P. Crutchfield, and by A.Kondacs and J.Watrous. This notion is not a generalization of the deterministic finite automata. Moreover, it was proved that not all regular languages can be…

量子物理 · 物理学 2011-06-14 Andris Ambainis , Richard Bonner , Rusins Freivalds , Marats Golovkins , Marek Karpinski

In this paper, we introduce a new public quantum interactive proof system and the first quantum alternating Turing machine: qAM proof system and qATM, respectively. Both are obtained from their classical counterparts (Arthur-Merlin proof…

计算复杂性 · 计算机科学 2012-05-25 Abuzer Yakaryilmaz

Quantum finite automata, as well as quantum pushdown automata (QPA) were first introduced by C. Moore and J. P. Crutchfield. In this paper we introduce the notion of QPA in a non-equivalent way, including unitarity criteria, by using the…

量子物理 · 物理学 2011-06-14 Marats Golovkins

Quantum computations usually take place under the control of the classical world. We introduce a Classically-controlled Quantum Turing Machine (CQTM) which is a Turing Machine (TM) with a quantum tape for acting on quantum data, and a…

量子物理 · 物理学 2016-10-11 Simon Perdrix , Philippe Jorrand

We prove the following facts about the language recognition power of quantum Turing machines (QTMs) in the unbounded error setting: QTMs are strictly more powerful than probabilistic Turing machines for any common space bound $ s $…

计算复杂性 · 计算机科学 2014-01-29 Abuzer Yakaryilmaz , A. C. Cem Say

Machines are possible to have some artificial intelligence like human beings owing to particular algorithms or software. Such machines could learn knowledge from what people taught them and do works according to the knowledge. In practical…

量子物理 · 物理学 2015-04-16 Li Zhaokai , Liu Xiaomei , Xu Nanyang , Du jiangfeng

In classical computation, a "write-only memory" (WOM) is little more than an oxymoron, and the addition of WOM to a (deterministic or probabilistic) classical computer brings no advantage. We prove that quantum computers that are augmented…

计算复杂性 · 计算机科学 2014-01-29 Abuzer Yakaryilmaz , Rusins Freivalds , A. C. Cem Say , Ruben Agadzanyan
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