3,187 research outputs found
Sample Paths of the Solution to the Fractional-colored Stochastic Heat Equation
Let u = {u(t, x), t [0, T ], x R d } be the solution to the
linear stochastic heat equation driven by a fractional noise in time with
correlated spatial structure. We study various path properties of the process u
with respect to the time and space variable, respectively. In particular, we
derive their exact uniform and local moduli of continuity and Chung-type laws
of the iterated logarithm
Continuous-variable teleportation: a new look
In contrast to discrete-variable teleportation, a quantum state is
imperfectly transferred from a sender to a remote receiver in a
continuous-variable setting. We recall the ingenious scheme proposed by
Braunstein and Kimble for teleporting a one-mode state of the quantum radiation
field. By analyzing this protocol, we have previously proven the factorization
of the characteristic function of the output state. This indicates that
teleportation is a noisy process that alters, to some extent, the input state.
Teleportation with a two-mode Gaussian EPR state can be described in terms of
the superposition of a distorting field with the input one. Here we analyze the
one-mode Gaussian distorting-field state. Some of its most important properties
are determined by the statistics of a positive EPR operator in the two-mode
Gaussian resource state. We finally examine the fidelity of teleportation of a
coherent state when using an arbitrary resource state.Comment: Contribution to the special issue of Romanian Journal of Physics
dedicated to the centenary of Serban Titeica (1908-1985), the founder of the
school of theoretical physics in Romani
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