Quantum Central Limit Theorem for Continuous-Time Quantum Walks on Odd Graphs in Quantum Probability Theory

Salimi S

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Quantum Central Limit Theorem for Continuous-Time Quantum Walks on Odd Graphs in Quantum Probability Theory

机译：量子概率论中奇数图上连续时间量子游动的量子中心极限定理

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摘要

The method of the quantum probability theory only requires simple structural data of graph and allows us to avoid a heavy combinational argument often necessary to obtain full description of spectrum of the adjacency matrix. In the present paper, by using the idea of calculation of the probability amplitudes for continuous-time quantum walk in terms of the quantum probability theory, we investigate quantum central limit theorem for continuous-time quantum walks on odd graphs.

机译：量子概率论的方法只需要简单的图形结构数据，就可以避免为了获得邻接矩阵的光谱的完整描述而经常需要的繁重的组合参数。本文采用量子概率论的思想，通过计算连续时间量子游走的概率振幅的思想，研究了奇数图上连续时间量子游走的量子中心极限定理。

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《International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics》 |2008年第12期|共12页
作者
Salimi S;
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正文语种 eng
中图分类理论物理学;
关键词
Continuous-time quantum walk; Spectral distribution; Odd graph;

机译：连续时间量子游走谱分布奇数图;

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1. Quantum Central Limit Theorem for Continuous-Time Quantum Walks on Odd Graphs in Quantum Probability Theory [J] . S. Salimi International Journal of Theoretical Physics . 2008,第12期

机译：量子概率论中奇数图上连续时间量子游动的量子中心极限定理
2. Realization of the probability laws in the quantum central limit theorems by a quantum walk [J] . Machida T. Quantum information & computation . 2013,第5a6期

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3. Continuous-time quantum walks on semi-regular spidernet graphs via quantum probability theory [J] . Salimi S Quantum information processing . 2010,第1期

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5. QUANTUM LOGIC, QUANTUM PROBABILITY, AND QUANTUM MEASUREMENT: A PHILOSOPHICAL PERSPECTIVE ON THE QUANTUM THEORY. [D] . NILSON, DONALD RICHARD. 1972

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7. Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory [O] . Salimi, S. 2008

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Quantum Central Limit Theorem for Continuous-Time Quantum Walks on Odd Graphs in Quantum Probability Theory

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