Mixed-State Density Operator in a Nonlinear Quantum System: Erratum

Gilbert Reinisch

Pavel Bóna

Proposals for nonlinear extenstions of quantum mechanics are discussed. Two different concepts of "mixed state" for any nonlinear version of quantum theory are introduced: (i) >genuine mixture< corresponds to operational "mixing" of different ensembles, and (ii) a mixture described by single density matrix without having a canonical operational possibility to pick out its specific convex decomposition is called here an >elementary mixture

Maurice A. de Gosson

Hong-Yi Fan, Gang Ren, Liyun Hu +1 more

This paper solves the newly constructed nonlinear master equation dρ/d t = κ[2 f ( N ) a ρ (1/ f ( N − 1)) a † − a † a ρ−ρ a † a ], where f ( N ) is an operator-valued function of N = a † a , for describing amplitude damping channel, and derives the infinite operator sum representation of quasi-Kraus operators for the density operator. It also shows that in this nonlinear process the initial pure number state density operator will evolve into the binomial field (a mixed state) when