51 citations · 131 across the 11 of their papers we have counts for
12 papers
A complete classification of operator controllability for closed three-level quantum systems driven by a single control
Sergey Kuznetsov, Alexander Pechen
In this work, we study operator controllability of finite-dimensional closed quantum systems driven by a single coherent control. Two general Lie-algebraic results on controllabili…
Learning Hidden Structures in Open Quantum Dynamics
Alexander Teretenkov, Sergey Kuznetsov, Alexander Pechen
We introduce a machine-learning approach for identifying hidden structural features of open quantum dynamics under restricted experimental access. Unlike most existing data-driven…
Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives
Oleg Morzhin, Alexander Pechen
This article is devoted to developing an approach for manipulating the von Neumann entropy of an open two-qubit system with coherent control and incoherent control induci…
Quantum control by the environment: Turing uncomputability, Optimization over Stiefel manifolds, Reachable sets, and Incoherent GRAPE
Alexander Pechen
The ability to control quantum systems is necessary for many applications of quantum technologies ranging from gate generation in quantum computation to NMR and laser control of ch…
Generation of C-NOT, SWAP, and C-Z Gates for Two Qubits Using Coherent and Incoherent Controls and Stochastic Optimization
Oleg Morzhin, Alexander Pechen
In this work, we consider a general form of the dynamics of open quantum systems determined by the Gorini-Kossakowsky-Sudarchhan-Lindblad type master equation with simultaneous coh…
Krotov Type Optimization of Coherent and Incoherent Controls for Open Two-Qubit Systems
Oleg Morzhin, Alexander Pechen
This work considers two-qubit open quantum systems driven by coherent and incoherent controls. Incoherent control induces time-dependent decoherence rates via time-dependent spectr…
Optimization of Time-Dependent Decoherence Rates and Coherent Control for a Qutrit System
Oleg Morzhin, Alexander Pechen
The work considers an open qutrit system whose density matrix evolution is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation with simultaneous coherent (…
GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
Vadim Petruhanov, Alexander Pechen
The GRadient Ascent Pulse Engineering (GRAPE) method is widely used for optimization in quantum control. GRAPE is gradient search method based on exact expressions for gradient of…
Optimal control for state preparation in two-qubit open quantum systems driven by coherent and incoherent controls via GRAPE approach
Vadim Petruhanov, Alexander Pechen
In this work, we consider a model of two qubits driven by coherent and incoherent time-dependent controls. The dynamics of the system is governed by a Gorini-Kossakowski-Sudarshan-…
On optimization of coherent and incoherent controls for two-level quantum systems
Oleg V. Morzhin, Alexander N. Pechen
This article considers some control problems for closed and open two-level quantum systems. The closed system's dynamics is governed by the Schrödinger equation with coherent contr…
Numerical estimation of reachable and controllability sets for a two-level open quantum system driven by coherent and incoherent controls
Oleg V. Morzhin, Alexander N. Pechen
The article considers a two-level open quantum system, whose evolution is governed by the Gorini--Kossakowski--Lindblad--Sudarshan master equation with Hamiltonian and dissipation…
Krotov Method for Optimal Control in Closed Quantum Systems
Oleg Morzhin, Alexander Pechen
Mathematical problems of optimal control in quantum systems attract high interest in connection with fundamental questions and existing and prospective applications. An important p…