Weak Commutativity of Quantum Automata

Feidan Huang, Fasheng Cao
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Abstract

Weak commutativity of quantum automata and weak commutativity of generalized quantum automata are defined. Weak commutativity of (generalized) quantum automata is discussed, and weak commutativity of general direct product, full direct product, restricted direct product, cascade product and wreath product of (generalized) quantum automata are studied, and several necessary and sufficient conditions of weak commutativity of some products of (generalized) quantum automata are obtained.
量子自动机的弱交换性
定义了量子自动机的弱交换性和广义量子自动机的弱交换性。讨论了(广义)量子自动机的弱交换性,研究了(广义)量子自动机的一般直积、完全直积、受限直积、级联积和环积的弱交换性,得到了(广义)量子自动机某些乘积的弱交换性的几个充分必要条件。
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