Allowable Generalized Quantum Gates

• Published in: Communications in theoretical physics Vol. 51; no. 1; pp. 65 - 67
• Main Authors: Gui-Lu, Long, Yang, Liu, Chuan, Wang
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.01.2009
• Subjects: 数字模块; 量子位; 量子计算机; 量子门
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/51/1/13

In this paper, we give the most general duality gates, or generalized quantum gates in duality quantum computers. Here we show by explicit construction that a n-bit duality quantum computer with d slits can be simulated perfectly with an ordinary quantum computer with n qubits and one auxiliary qudit. Using this model, we give the most general form of duality gates which is of the form ∑i=0^d-1piUi,and the pi ＇s are complex numbers with module less or equal to 1 and constrained by｜∑iPi｜≤1.