Response 4: The introduction will be changed to contain: Sussmann et al. 2013 did a similar study on the inter-comparison of methane from MIR and NIR retrievals. They used a Tikhonov-L1 regularized profile retrieval scheme with the standard NDACC retrieval package SFIT2 for the MIR and the standard TCCON retrieval (GFIT) for the NIR spectra. They conclude that the obtainable information from th...

A general framework of optimal eavesdropping on BB84 protocol was provided by Fuchs et al. [Phys. Rev. A, 1997]. An upper bound on mutual information was derived, which could be achieved by a specific type of interaction and the corresponding measurement. However, uniqueness of optimal interaction was posed as an unsolved problem there and it has remained open for almost two decades now. In thi...

A general framework of optimal eavesdropping on BB84 protocol was provided by Fuchs et al. in 1997. An upper bound on mutual information was derived in their work, which could be achieved by a specific type of interaction and the corresponding measurement. However, uniqueness of an optimal interaction was left as an open problem there. We resolve this problem here and establish the uniqueness. ...

Instead of the Tikhonov regularization method which with a scalar being the regularization parameter, Liu et al. [1] have proposed a novel regularization method with a vector as being the regularization parameter. As a continuation we further propose an optimally scaled vector regularization method (OSVRM) to solve the ill-posed linear problems, which is better than the Tikhonov regularization ...

Based on the concept of differentiated backprojection (DBP) (Noo et al 2004 Phys. Med. Biol. 49 3903, Pan et al 2005 Med. Phys. 32 673, Defrise et al 2006 Inverse Problems 22 1037), this paper shows that the solution to the interior problem in computed tomography is unique if a tiny a priori knowledge on the object f(x, y) is available in the form that f(x, y) is known on a small region located...