Let H be a Hilbert space. We consider quantum channel [4] with a finite input alphabet {1, ..., a} and with pure signal states Si = |ψi >< ψi|; i = 1, ..., a. Compound channel of length n is in the n–tensor product of the space H , i.e. Hn = H ⊗ . . . ⊗ H . An input block (codeword) u = (i1, . . . , in) , ik ∈ {1, . . . a}, for it means using the compound state ψu = ψi1 ⊗ . . . ⊗ ψin ∈ Hn and t...

A secure function evaluation protocol allows two parties to jointly compute a function f(x; y) of their inputs in a manner not leaking more information than necessary. A major result in this eld is: \any function f that can be computed using polynomial resources can be computed securely using polynomial resources" (where `resources' refers to communication and computation). This result follows ...

 The ratio of independent random variables arises in many applied problems. In this article, the distribution of the ratio X/Y is studied, when X and Y are independent Rice random variables. Ratios of such random variable have extensive applications in the analysis of noises of communication systems. The exact forms of probability density function (PDF), cumulative distribution function (CDF) a...

information technology as a new and very efficient tool in human communications has multiple functions that effect on public affair management is one of them. along with growth & spread of such technologies in contemporary world, this function simultaneously has spread & is changing to be an important paradigm in management & regional administration all over the world. in the other hand, good g...

The log-rank conjecture in communication complexity suggests that the deterministic communication complexity of any Boolean rank-r function is bounded by polylog(r). Recently, major progress was made by Lovett who proved that the communication complexity is bounded by O( √ r · log r). Lovett’s proof is based on known estimates on the discrepancy of low-rank matrices. We give a simple, direct pr...

A spin wave majority fork-like structure with feature size of 40 nm, is presented and investigated, through micromagnetic simulations. The structure consists of three merging out-of-plane magnetization spin wave buses and four magneto-electric cells serving as three inputs and an output. The information of the logic signals is encoded in the phase of the transmitted spin waves and subsequently ...