27 citations · 106 across the 13 of their papers we have counts for
13 papers
On the local equivalence of trapped-ion two-qudit gates
Nikita V. Semenin, Pavel A. Kamenskikh, Ilia V. Zalivako +2
We derive a necessary condition of the local equivalence between two-qudit gates in terms of singular values of transformed gate matrices. This condition is valid for arbitrary qud…
Qudit-native simulation of the Potts model
Maksim A. Gavreev, Evgeniy O. Kiktenko, Aleksey K. Fedorov +1
Simulating entangled, many-body quantum systems is notoriously hard, especially in the case of high-dimensional nature of physical underlying objects. In this work, we propose an a…
Transition-aware decomposition of single-qudit gates
Denis A. Drozhzhin, Evgeniy O. Kiktenko, Aleksey K. Fedorov +1
Quantum computation with -level quantum systems, also known as qudits, benefits from the possibility to use a richer computational space compared to qubits. However, for an arbi…
Scalable platform for qudit-based quantum computing using polar molecules
Soleh Kh. Muminov, Evgeniy O. Kiktenko, Anastasiia S. Nikolaeva +4
We propose a scalable qudit-based quantum processor using rotational states of polar molecules. Previously, molecular internal states were used to enlarge Hilbert space, whereas ou…
Progress in the development of quantum algorithms and software
Anastasiia S. Nikolaeva, Daria O. Konina, Anatolii V. Antipov +10
A quantum processor, like any computing device, requires the development of both hardware and the necessary set of software solutions, starting with quantum algorithms and ending w…
Experimental factoring integers using fixed-point-QAOA with a trapped-ion quantum processor
Ilia V. Zalivako, Andrey Yu. Chernyavskiy, Anastasiia S. Nikolaeva +10
Factoring integers is considered as a computationally-hard problem for classical methods, whereas there exists polynomial-time Shor's quantum algorithm for solving this task. Howev…
Transpiling quantum assembly language circuits to a qudit form
Denis A. Drozhzhin, Anastasiia S. Nikolaeva, Evgeniy O. Kiktenko +1
In this paper, we introduce the workflow for converting qubit circuits represented by Open Quantum ASseMbly format (OpenQASM, also known as QASM) into the qudit form for execution…
Scalable improvement of the generalized Toffoli gate realization using trapped-ion-based qutrits
Anastasiia S. Nikolaeva, Ilia V. Zalivako, Alexander S. Borisenko +8
An efficient implementation of the Toffoli gate is of conceptual importance for running various quantum algorithms, including Grover's search and Shor's integer factorization. Howe…
Supervised binary classification of small-scale digit images and weighted graphs with a trapped-ion quantum processor
Ilia V. Zalivako, Alexander I. Gircha, Evgeniy O. Kiktenko +14
Here we present the results of benchmarking a quantum processor based on trapped Yb ions by performing basic quantum machine learning algorithms. Using a quantum-enha…
Towards multiqudit quantum processor based on a Yb ion string: Realizing basic quantum algorithms
Ilia V. Zalivako, Anastasiia S. Nikolaeva, Alexander S. Borisenko +12
We demonstrate a quantum processor based on a 3D linear Paul trap that uses Yb ions with 8 individually controllable four-level qudits (ququarts), which is computatio…
Qudits for decomposing multiqubit gates and realizing quantum algorithms
Evgeniy O. Kiktenko, Anastasiia S. Nikolaeva, Aleksey K. Fedorov
The paradigm behind digital quantum computing inherits the idea of using binary information processing. Nature in fact gives much more rich structures of physical objects that can…
Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
Alena S. Kazmina, Ilia V. Zalivako, Alexander S. Borisenko +21
Scalable quantum computers hold the promise to solve hard computational problems, such as prime factorization, combinatorial optimization, simulation of many-body physics, and quan…
Universal quantum computing with qubits embedded in trapped-ion qudits
Anastasiia S. Nikolaeva, Evgeniy O. Kiktenko, Aleksey K. Fedorov
Recent developments in qudit-based quantum computing, in particular with trapped ions, open interesting possibilities for scaling quantum processors without increasing the number o…