Publications list derived from arXiv and ORCID with 8 entries.
8. Quantics Tensor Train for solving Gross-Pitaevskii equation
We present a quantum-inspired solver for the one-dimensional Gross-Pitaevskii equation in the Quantics Tensor-Train (QTT) representation. By evolving the system entirely within a low-rank tensor manifold, the method sidesteps the memory and runtime barriers that limit conventional finite-difference and spectral schemes. Two complementary algorithms are developed: an imaginary-time projector that drives the condensate toward its variational ground state and a rank-adapted fourth-order Runge-Kutta integrator for real-time dynamics. The framework captures a broad range of physical scenarios – including barrier-confined condensates, quasi-random potentials, long-range dipolar interactions, and multicomponent spinor dynamics – without leaving the compressed representation. Relative to standard discretizations, the QTT approach achieves an exponential reduction in computational resources while retaining quantitative accuracy, thereby extending the practicable regime of Gross-Pitaevskii simulations on classical hardware. These results position tensor networks as a practical bridge between high-performance classical computing and prospective quantum hardware for the numerical treatment of nonlinear Schrodinger-type partial differential equations.
7. Reading Qubits with Sequential Weak Measurements: Limits of Information Extraction
6. Spatio-temporal tensor-network approaches to out-of-equilibrium dynamics bridging open and closed systems
5. Measuring temporal entanglement in experiments as a hallmark for integrability
4. New approach to designing functional materials for stealth technology: Radar experiment with bilayer absorbers and optimization of the reflection loss