/ 01 09 01 0 v 1 3 S ep 2 00 1 Clifford algebras , noncommutative tori and universal quantum computers

نویسنده

  • Alexander Yu
چکیده

Recently author suggested [23] an application of Clifford algebras for construction of a " compiler " for universal binary quantum computer together with later development [24] of the similar idea for a non-binary base. The non-binary case is related with application of some extension of idea of Clifford algebras. It is noncommutative torus defined by polynomial algebraic relations of order l. For l = 2 it coincides with definition of Clifford algebra. Here is presented the joint consideration and comparison of both cases together with some discussion on possible physical consequences.

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تاریخ انتشار 2001