Max-planck-institut für mathematik

Max - Planck - Institut für Mathematik in den Naturwissenschaften Leipzig

Critical manifold of globally coupled overdamped anharmonic oscillators driven by additive Gaussian white noise We prove for an infinite array of globally coupled overdamped anharmonic oscillators subject to additive Gaussian white noise the existence of a well-behaved critical manifold in the parameter space which separates a symmetric phase from a symmetry broken phase. Given two of the syste...

Max - Planck - Institut für Mathematik in den Naturwissenschaften Leipzig One -

Max - Planck - Institut für Mathematik in den Naturwissenschaften Leipzig

We consider the problem of detecting the true quantum state among r possible ones, based of measurements performed on n copies of a finite dimensional quantum system. A special case is the problem of discriminating between r probability measures on a finite sample space, using n i.i.d. observations. In this classical setting it is known that the averaged error probability decreases exponentiall...

Max - Planck - Institut für Mathematik in den Naturwissenschaften Leipzig

The concertina is a magnetization pattern in elongated thin-film elements of a soft magnetic material. It is a ubiquitous domain pattern that occurs in the process of magnetization reversal in direction of the long axis of the small element. Van den Berg argued that this pattern grows out of the flux closure domains as the external field is reduced. Based on experimental observations and theory...

Max - Planck - Institut für Mathematik in den Naturwissenschaften Leipzig

We present a way in identifying all kinds of entanglement for three-qubit pure states in terms of the expectation values of Pauli operators. The necessary and sufficient conditions to classify the fully separable, biseparable and genuine entangled states are explicitly given. The approach can be generalized to multipartite high dimensional case. For three-qubit mixed states, we propose two kind...