On the security of the Kirchhoff-law-Johnson-noise (KLJN) communicator
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2014, Springer Science+Business Media New York. A simple and general proof is given for the information theoretic (unconditional) security of the Kirchhoff-lawJohnson-noise key exchange system under practical conditions. The unconditional security for ideal circumstances, which is based on the second law of thermodynamics, is found to prevail even under slightly non-ideal conditions. This security level is guaranteed by the continuity of functions describing classical physical linear, as well as stable non-linear, systems. Even without privacy amplification, Eves probability for successful bit guessing is found to converge toward 0.5i.e., the perfect security levelwhen ideal conditions are approached.