15 citations
6 papers
Quantum Implemention of an LTI System with the minimal number of additional quantum noise inputs
Shanon L. Vuglar, Ian R. Petersen
Physical Realizability addresses the question of whether it is possible to implement a given LTI system as a quantum system. It is in general not true that a given synthesized quan…
Limitations on the quantum non-Gaussian characteristic of Schrödinger kitten state generation
Hongbin Song, Katanya B. Kuntz, Elanor H. Huntington
A quantitative analysis is conducted on the impacts of experimental imperfections in the input state, the detector properties, and their interactions on photon-subtracted squeezed…
Robust Smoothing for Discrete-Time Uncertain Nonlinear Systems
Abhijit G. Kallapur, Ian R. Petersen
This paper derives recursion equations for a robust smoothing problem for a class of nonlinear systems with uncertainties in modeling and exogenous noise sources. The systems consi…
Singular Perturbation Approximations for General Linear Quantum Systems
Shanon L. Vuglar, Ian R. Petersen
This paper considers the use of singular perturbation approximations for general linear quantum systems where the system dynamics are described in terms of both annihilation and cr…
On the Lossless Property of a Class of Nonlinear Quantum Systems
Aline I. Maalouf, Ian R. Petersen
In this paper, the physical realizability condition for a specific class of nonlinear quantum systems is related to the lossless property of nonlinear dissipative systems having a…
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…