Quantum simulation of lattice gauge theory with minimal resources
The quantum simulation of fermionic gauge field theories is one of the anticipated uses of
quantum computers in the noisy intermediate-scale quantum (NISQ) era. Recently work has …
quantum computers in the noisy intermediate-scale quantum (NISQ) era. Recently work has …
Integrable digital quantum simulation: Generalized gibbs ensembles and trotter transitions
The Trotter-Suzuki decomposition is a promising avenue for digital quantum simulation
(DQS), approximating continuous-time dynamics by discrete Trotter steps of duration τ …
(DQS), approximating continuous-time dynamics by discrete Trotter steps of duration τ …
Krylov complexity and Trotter transitions in unitary circuit dynamics
P Suchsland, R Moessner, PW Claeys - arXiv preprint arXiv:2308.03851, 2023 - arxiv.org
We investigate many-body dynamics where the evolution is governed by unitary circuits
through the lens ofKrylov complexity', a recently proposed measure of complexity and …
through the lens ofKrylov complexity', a recently proposed measure of complexity and …
Floquet time crystals in driven spin systems with all-to-all -body interactions
We show the emergence of Floquet time crystal (FTC) phases in the Floquet dynamics of
periodically driven p-spin models, which describe a collection of spin-1/2 particles with all-to …
periodically driven p-spin models, which describe a collection of spin-1/2 particles with all-to …
Spectral analysis of product formulas for quantum simulation
We consider the time-independent Hamiltonian simulation using the first order Lie–Trotter–
Suzuki product formula under the assumption that the initial state is supported on a low …
Suzuki product formula under the assumption that the initial state is supported on a low …
Macrostates vs. microstates in the classical simulation of critical phenomena in quench dynamics of 1d ising models
We study the tractability of classically simulating critical phenomena in the quench dynamics
of one-dimensional transverse field Ising models (TFIMs) using highly truncated matrix …
of one-dimensional transverse field Ising models (TFIMs) using highly truncated matrix …
Probing dynamical sensitivity of a non-Kolmogorov-Arnold-Moser system through out-of-time-order correlators
Non-Kolmogorov-Arnold-Moser (KAM) systems, when perturbed by weak time-dependent
fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase …
fields, offer a fast route to classical chaos through an abrupt breaking of invariant phase …
State-dependent Trotter limits and their approximations
The Trotter product formula is a key instrument in numerical simulations of quantum systems.
However, computers cannot deal with continuous degrees of freedom, such as the position …
However, computers cannot deal with continuous degrees of freedom, such as the position …
Quantum chaos and universal trotterisation behaviours in digital quantum simulations
Digital quantum simulation (DQS) is one of the most promising paths for achieving first
useful real-world applications for quantum processors. Yet even assuming rapid progress in …
useful real-world applications for quantum processors. Yet even assuming rapid progress in …
Optimization of algorithmic errors in analog quantum simulations
NA Zemlevskiy, HF Froland, S Caspar - Physical Review A, 2024 - APS
Analog quantum simulation is emerging as a powerful tool for uncovering classically
unreachable physics such as many-body real-time dynamics. A complete quantification of …
unreachable physics such as many-body real-time dynamics. A complete quantification of …