12 citations · 121 across the 57 of their papers we have counts for
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A quantum Karhunen-Loeve expansion and quadratic-exponential functionals for linear quantum stochastic systems
Igor G. Vladimirov, Ian R. Petersen, Matthew R. James
This paper extends the Karhunen-Loeve representation from classical Gaussian random processes to quantum Wiener processes which model external bosonic fields for open quantum syste…
A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems
Igor G. Vladimirov
This paper outlines an approach to the approximation of probability density functions by quadratic forms of weighted orthonormal basis functions with positive semi-definite Hermiti…
Quantized linear systems on integer lattices: a frequency-based approach
Igor G. Vladimirov
The roundoff errors in computer simulations of continuous dynamical systems, caused by finiteness of machine arithmetic, can lead to qualitative discrepancies between phase portrai…
The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields
Igor G. Vladimirov
We consider an "elastic" version of the statistical mechanical monomer-dimer problem on the n-dimensional integer lattice. Our setting includes the classical "rigid" formulation as…