Measurement base change for localization encoded dual rail photonic quantum computing

We study behavior of number states in systems of coupled modes. Using an auxiliary mode and linear transformations, we propose a simple method for measuring on orthogonal bases other than 0 and 1 in the case of dual rail photonic computing which may act as a simple filter too. Using two auxiliary modes it is shown that an equivalent polarizing beam splitter can be realized for dual rail encoding. Simple structures based on coupled waveguides are presented for these purposes.