12 citations · 121 across the 57 of their papers we have counts for
10 papers · 1 filter
Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators
Igor G. Vladimirov
This paper considers open quantum systems whose dynamic variables satisfy canonical commutation relations and are governed by Markovian Hudson-Parthasarathy quantum stochastic diff…
Decentralized Coherent Quantum Control Design for Translation Invariant Linear Quantum Stochastic Networks with Direct Coupling
Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with coherent quantum control design for translation invariant networks of identical quantum stochastic systems subjected to external quantum noise. The net…
Weyl variations and local sufficiency of linear observers in the mean square optimal coherent quantum filtering problem
Igor G. Vladimirov
This paper is concerned with the coherent quantum filtering (CQF) problem, where a quantum observer is cascaded in a measurement-free fashion with a linear quantum plant so as to m…
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…
A transverse Hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control
Igor G. Vladimirov
This paper is concerned with variational methods for nonlinear open quantum systems with Markovian dynamics governed by Hudson-Parthasarathy quantum stochastic differential equatio…
Covariance Dynamics and Entanglement in Translation Invariant Linear Quantum Stochastic Networks
Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with a translation invariant network of identical quantum stochastic systems subjected to external quantum noise. Each node of the network is directly coupl…
Robust Mean Square Stability of Open Quantum Stochastic Systems with Hamiltonian Perturbations in a Weyl Quantization Form
Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with open quantum systems whose dynamic variables satisfy canonical commutation relations and are governed by quantum stochastic differential equations. The…
Parameterization of Stabilizing Linear Coherent Quantum Controllers
Arash Kh. Sichani, Ian R. Petersen, Igor G. Vladimirov
This paper is concerned with application of the classical Youla-Kučera parameterization to finding a set of linear coherent quantum controllers that stabilize a linear quantum plan…
A Gradient Descent Approach to Optimal Coherent Quantum LQG Controller Design
Arash Kh. Sichani, Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with the Coherent Quantum Linear Quadratic Gaussian (CQLQG) control problem of finding a stabilizing measurement-free quantum controller for a quantum plant…
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…