32 citations · 177 across the 18 of their papers we have counts for
18 papers
Unique determination and generation of rank two single-qubit quantum channels
Nina Kuklina, Vasilii Vasilenko, Boris Volkov +1
An important problem in quantum technologies is the generation of a target evolution of an open quantum system. A core component of this task is the ability to determine whether th…
Fundamental limits on state preparation for an open qubit
D. A. Abraamian, L. V. Lokutsievskiy, A. N. Pechen
We analytically determine the ultimate limits of state preparation in two-level open quantum systems driven by coherent control. For a dissipative qubit governed by a GKSL master e…
Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps
Alexander Pechen, Boris Volkov
In this work, we perform an analytical and numerical analysis of quantum landscapes for controlling special four-level quantum systems for which we prove that the null control is a…
Weak coupling limit for quantum systems with unbounded weakly commuting system operators
Ilya Lopatin, Alexander Pechen
This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagneti…
Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving
Alexander N. Pechen, Vadim N. Petruhanov, Oleg V. Morzhin +1
High fidelity generation of two-qubit gates is important for quantum computation, since such gates are components of popular universal sets of gates. Here we consider the problem o…
Phenomenon of a stronger trapping behaviour in -type quantum systems with symmetry
Boris Volkov, Anastasia Myachkova, Alexander Pechen
, , (ladder), and other three-level quantum systems with one forbidden transition (referred here as -type systems) play an important role in quantum physics. Various a…
Incoherent GRAPE (inGRAPE) for optimization of quantum systems with environmentally assisted control
Vadim Petruhanov, Alexander Pechen
In this work, we review several results on development and application of incoherent version of GRAPE (Gradient Ascent Pulse Engineering) approach, inGRAPE, to optimization for ope…
Time-optimal state transfer for an open qubit
L. V. Lokutsievskiy, A. N. Pechen, M. I. Zelikin
Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is…
Optimal remote restoring of quantum states in communication lines via local magnetic field
E. B. Fel'dman, A. N. Pechen, A. I. Zenchuk
Optimal state transport across spin chains, which are proposed as quantum wires for information transfer in solid state quantum architectures, is an important topic for quantum tec…
Amplification of quantum transfer and quantum ratchet
Sergei Kozyrev, Alexander Pechen
Amplification of quantum transfer and ratchet--type processes are important for quantum technologies. We also expect that quantum ratchet works in quantum photosynthesis, where pos…
Quantum control landscape for generation of and gates in an open qubit with both coherent and environmental drive
Vadim Petruhanov, Alexander Pechen
An important problem in quantum computation is generation of single-qubit quantum gates such as Hadamard () and () gates which are components of a universal set of gate…
Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry
Maria Elovenkova, Alexander Pechen
Quantum systems with dynamical symmetries have conserved quantities which are preserved under coherent controls. Therefore such systems can not be completely controlled by means of…
Optimal State Manipulation for a Two-Qubit System Driven by Coherent and Incoherent Controls
Oleg Morzhin, Alexander Pechen
Optimal control of two-qubit quantum systems attracts high interest due to applications ranging from two-qubit gate generation to optimization of receiver for transferring coherenc…
Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search
Vadim Petruhanov, Alexander Pechen
In this work, we consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control. We exploit a coherent control in…
Reachable sets for two-level open quantum systems driven by coherent and incoherent controls
Lev Lokutsievskiy, Alexander Pechen
In this work, we study controllability in the set of all density matrices for a two-level open quantum system driven by coherent and incoherent controls. In [A. Pechen, Phys. Rev.…
Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates
Boris O. Volkov, Oleg V. Morzhin, Alexander N. Pechen
In this work, we consider the problem of ultrafast controlled generation of single-qubit phase shift quantum gates. Globally optimal control is a control which realizes the gate wi…
Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls
Oleg V. Morzhin, Alexander N. Pechen
The article considers a two-level open quantum system whose dynamics is driven by a combination of coherent and incoherent controls. Coherent control enters into the Hamiltonian pa…
Uncomputability and complexity of quantum control
Denys I. Bondar, Alexander N. Pechen
In laboratory and numerical experiments, physical quantities are known with a finite precision and described by rational numbers. Based on this, we deduce that quantum control prob…