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Mixed-state evolution in the presence of gain and loss
Dorje C. Brody, Eva-Maria Graefe
A model is proposed that describes the evolution of a mixed state of a quantum system for which gain and loss of energy or amplitude are present. Properties of the model are worked…
Signal processing with Levy information
Dorje C. Brody, Lane P. Hughston, Xun Yang
Levy processes, which have stationary independent increments, are ideal for modelling the various types of noise that can arise in communication channels. If a Levy process admits…
Quantum splines
Dorje C. Brody, Darryl D. Holm, David M. Meier
A quantum spline is a smooth curve parameterised by time in the space of unitary transformations, whose associated orbit on the space of pure states traverses a designated set of q…