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quant-ph2026
Exact quantum circuits for a Heisenberg triangle with Dzyaloshinskii-Moriya interaction
Andrey Zhukov
We construct exact quantum circuits for a three-spin Heisenberg triangle with Dzyaloshinskii-Moriya (DM) interaction. A change of basis reduces pure DM evolution with arbitrary cou…
quant-ph2024
Grover's search meets Ising models: a quantum algorithm for finding low-energy states
Andrey Zhukov, Andrey Lebedev, Walter Pogosov
We propose a methodology for implementing Grover's algorithm in the digital quantum simulation of disordered Ising models. The core concept revolves around using the evolution oper…
quant-ph2023
Quantum error mitigation in the regime of high noise using deep neural network: Trotterized dynamics
A. A. Zhukov, W. V. Pogosov
We address a learning-based quantum error mitigation method, which utilizes deep neural network applied at the postprocessing stage, and study its performance in presence of differ…