Fast Hamiltonian engineering from cut polytope geometry

arXiv:2609.36006 · quant-ph, cond-mat.quant-gas · Submitted 2026-09-28 · Read on arXiv

quant-ph, cond-mat.quant-gas

Submitted: 2026-09-28

Updated: 2026-09-28

Code: https://github.com/ThomasJFriese/cut-polytope-hamiltonian-enginee

Terminology

• Benchmark — 18× in this paper · explained in 2 episodes
• VC Dimension — 7× in this paper · explained in 2 episodes
• Combinatorial Optimization — 4× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Core — 2× in this paper · explained in 2 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Hubbard Model — 2× in this paper · explained in 3 episodes
• Unified Framework — 2× in this paper · explained in 5 episodes
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 4 episodes
• Magnus Expansion — 1× in this paper · explained in 4 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Quantum Simulation
• Quantum Simulators: Architectures and Opportunities
• Propagation of errors and quantitative quantum simulation with quantum advantage
• Quantum advantage and stability to errors in analogue quantum simulators
• Dynamical Decoupling of Open Quantum Systems
• Programmable quantum simulation by dynamic Hamiltonian engineering
• Dynamical engineering of interactions in qudit ensembles
• Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
• Robust Hamiltonian Engineering for Interacting Qudit Systems
• Floquet Hamiltonian Engineering of an Isolated Many-Body Spin System
• Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
• Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
• Universal simulation of Hamiltonian dynamics for qudits
• Universal Quantum Hamiltonians
• Entanglement capabilities of non-local Hamiltonians
• Time Optimal Control in Spin Systems
• Optimal simulation of two-qubit Hamiltonians using general local operations
• Simulation and reversal of n-qubit Hamiltonians using Hadamard matrices
• Universal quantum processors in spin systems via robust local pulse sequences
• Hamiltonian simulation with explicit formulas for Digital-Analog Quantum Computing

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity