86 citations · 121 across the 15 of their papers we have counts for
12 papers · 1 filter
Quantum Orlicz spaces in information geometry
R. F. Streater
A start is made to redefining the topology of the spaces of normal states (density operators) by a new norm which is finite only for states of finite entropy. It is shown that a sy…
Duality in quantum information manifolds
R. F. Streater
We consider the quantum information manifold whose underlying set M consists of density operators rho with the extra property that some fractional power of rho is of trace class. T…
Hydrodynamics in an external field
M. R. Grasselli, R. F. Streater
The methods of statistical dynamics are applied to a fluid with 5 conserved fields (the mass, the energy, and the three components of momentum) moving in a given external potential…
Windowed Radon Transforms, Analytic Signals and the Wave Equation
Gerald Kaiser, R. F. Streater
The act of measuring a physical signal or field suggests a generalization of the wavelet transform that turns out to be a windowed version of the Radon transform. A reconstruction…
Corrections to Fluid Dynamics
R. F. Streater
We show that a Galilean invariant version of fluid dynamics can be derived by the methods of statistical dynamics using Maxwell's balance equations. The basic equation is non-local…
Stability of a Hot Smoluchowski Fluid
R. F. Streater
We study coupled non-linear parabolic equations for a fluid described by a material density and a temperature, both functions of space and time. In one dimension, we find some stat…
On the Uniqueness of the Chentsov Metric in Quantum Information Geometry
M. R. Grasselli, R. F. Streater
We show that, in finite dimensions, the only monotone metrics for which the (+1) and (-1) affine connections are mutually dual are constant multiples of Bogoliubov-Kubo-Mori metric
Classical and quantum info-manifolds
R. F. Streater
We survey recent work on the Cramer-Rao inequality by Hasagawa and Petz; the notion of information manifold in infinite-dimensional Hilbert spaces is introduced, and the extension…
Classical and Quantum Probability
R. F. Streater
We survey the development of probability from 1900, starting with Bachelier's theory of speculation. Fisher information appears in the theory of estimation. We touch on Brownian mo…
The Soret and Dufour effects in statistical dynamics
R. F. Streater
We set up a discrete space-time dynamical model of molecules with thermalised kinetic energy and repulsive cores, in an external potential. The state is specified by a probability…
The analytic quantum information manifold
R. F. Streater
Let H be a self-adjoint operator such that exp(-aH) is of trace class for some a<1. Let V be a symmetric operator, Kato bounded relative to H. We show that log Tr[exp(-H+xV)] is a…
The information manifold for relatively bounded forms
R. F. Streater
We construct a Banach manifold of states, which are Gibbs states for potentials that are form-bounded in the sense of Kato relative to the free Hamiltonian. We construct the (+1)-a…