Accelerating Quantum Dense-Output Simulation through Locality

arXiv:2609.40094 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Block Encoding — 12× in this paper · explained in 4 episodes
• Query Complexity — 11× in this paper · explained in 2 episodes
• Accuracy — 10× in this paper · explained in 1 episode
• Core — 8× in this paper · explained in 2 episodes
• Hamiltonian Learning — 6× in this paper · explained in 2 episodes
• Spectral Gap — 6× in this paper · explained in 5 episodes
• Entanglement — 5× in this paper · explained in 3 episodes
• Robustness — 4× in this paper · explained in 5 episodes
• Area Law — 3× in this paper · explained in 1 episode
• Clustering — 3× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Adaptivity — 1× in this paper · explained in 1 episode
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Error Decomposition — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Metastability — 1× in this paper · explained in 2 episodes
• Process tomography — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes
• Scaling Laws — 1× in this paper · explained in 4 episodes
• Shadow Tomography — 1× in this paper · explained in 4 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Topological Order — 1× in this paper · explained in 2 episodes

Sources

• A random compiler for fast Hamiltonian simulation
• Simulating quantum field theory with a quantum computer
• Stability of slow Hamiltonian dynamics from Lieb-Robinson bounds
• Lieb-Robinson Bounds in Quantum Many-Body Physics
• Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
• Simulating Bosonic Baths with Error Bars
• On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians
• Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs

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