6 papers
Spin-Boson Mappings in the Formalism of -Deformations
Vladimir A. Orlov, Liubov A. Markovich, Andrey V. Mikheyenkov +1
We develop a unified algebraic approach to spin-boson transformations based on the formalism of -deformed oscillators. In the single-mode case, we show that the Holstein-Primako…
Optimal Nonparametric Estimation of Phase-Space Representations for Non-Gaussian Continuous Variable Quantum States
Vladimir A. Orlov, Liubov A. Markovich
We further develop Kernel Quantum State Estimation (KQSE), a fully data-driven nonparametric method for continuous variable quantum state reconstruction and characterization, intro…
From Discrete to Continuous-Variable Systems via Jordan-Schwinger Tomographic Transformation
Liubov A. Markovich, Vladimir A. Orlov, Alexey N. Rubtsov +1
Hybrid quantum systems that combine discrete-variable (DV) and continuous-variable (CV) architectures represent a promising direction in quantum information science. However, trans…
Nonparametric Learning Non-Gaussian Quantum States of Continuous Variable Systems
Liubov A. Markovich, Xiaoyu Liu, Jordi Tura
Continuous-variable quantum systems are foundational to quantum computation, communication, and sensing. While traditional representations using wave functions or density matrices…
Error and Resource Estimates of Variational Quantum Algorithms for Solving Differential Equations Based on Runge-Kutta Methods
David Dechant, Liubov Markovich, Vedran Dunjko +1
A focus of recent research in quantum computing has been on developing quantum algorithms for differential equations solving using variational methods on near-term quantum devices.…
Not all Probability Density Functions are Tomograms
L. A. Markovich, J. Urbanetz, V. I. Man'ko
This paper delves into the significance of the tomographic probability density function (pdf) representation of quantum states, shedding light on the special classes of pdfs that c…