Quantum dynamics simulations beyond the coherence time on noisy intermediate-scale quantum hardware by variational trotter compression

NF Berthusen, TV Trevisan, T Iadecola, PP Orth - Physical Review Research, 2022 - APS
We demonstrate a postquench dynamics simulation of a Heisenberg model on present-day
IBM quantum hardware that extends beyond the coherence time of the device. This is …

Synthesizing efficient circuits for Hamiltonian simulation

P Mukhopadhyay, N Wiebe, HT Zhang - npj Quantum Information, 2023 - nature.com
We provide an approach for compiling quantum simulation circuits that appear in Trotter,
qDRIFT and multi-product formulas to Clifford and non-Clifford operations that can reduce …

Time evolution of uniform sequential circuits

N Astrakhantsev, SH Lin, F Pollmann, A Smith - Physical Review Research, 2023 - APS
Simulating time evolution of generic quantum many-body systems using classical numerical
approaches has an exponentially growing cost either with evolution time or with the system …

Optimal Realization of Yang–Baxter Gate on Quantum Computers

K Zhang, K Yu, K Hao, V Korepin - Advanced Quantum …, 2024 - Wiley Online Library
Quantum computers provide a promising method to study the dynamics of many‐body
systems beyond classical simulation. On the other hand, the analytical methods developed …

Local variational quantum compilation of large-scale hamiltonian dynamics

K Mizuta, YO Nakagawa, K Mitarai, K Fujii - PRX Quantum, 2022 - APS
The implementation of time-evolution operators on quantum circuits is important for quantum
simulation. However, the standard method, Trotterization, requires a huge number of gates …

Distributionally robust variational quantum algorithms with shifted noise

Z He, B Peng, Y Alexeev… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Given their potential to demonstrate near-term quantum advantage, variational quantum
algorithms (VQAs) have been extensively studied. Although numerous techniques have …

Qutrit circuits and algebraic relations: A pathway to efficient spin-1 Hamiltonian simulation

O Ogunkoya, J Kim, B Peng, AB Özgüler, Y Alexeev - Physical Review A, 2024 - APS
Quantum information processing has witnessed significant advancements through the
application of qubit-based techniques within universal gate sets. Recently, exploration …

The floquet baxterisation

Y Miao, V Gritsev, DV Kurlov - SciPost Physics, 2024 - scipost.org
Quantum integrability has proven to be a useful tool to study quantum many-body systems
out of equilibrium. In this paper we construct a generic framework for integrable quantum …

Tetrahedron equation and quantum cluster algebras

R Inoue, A Kuniba, Y Terashima - Journal of Physics A …, 2024 - iopscience.iop.org
We develop the quantum cluster algebra approach recently introduced by Sun and Yagi to
investigate the tetrahedron equation, a three-dimensional generalization of the Yang-Baxter …

Quantum error mitigation and correction mediated by Yang-Baxter equation and artificial neural network

S Gulania, Y Alexeev, SK Gray, B Peng… - arXiv preprint arXiv …, 2024 - arxiv.org
Quantum computing shows great potential, but errors pose a significant challenge. This
study explores new strategies for mitigating quantum errors using artificial neural networks …