摘要
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.
基金
supported by the National Fundamental Research Program Grant Nos.2006CB921106, 2009CB929042
National Natural Science Foundation of China under Grant Nos. 10874098, 10775076, and 60433050
