Optimal low-rank compression of quantum dynamics

arXiv:2609.27497 · quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, math-ph, math.MP · Submitted 2026-09-23 · Read on arXiv

quant-ph, cond-mat.dis-nn, cond-mat.stat-mech, math-ph, math.MP

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Accuracy — 88× in this paper · explained in 1 episode
• Entanglement — 80× in this paper · explained in 3 episodes
• Trace — 15× in this paper · explained in 2 episodes
• Unitary Dynamics — 15× in this paper · explained in 2 episodes
• Core — 14× in this paper · explained in 2 episodes
• Area Law — 8× in this paper · explained in 1 episode
• Hilbert Space — 8× in this paper · explained in 2 episodes
• Gibbs State — 5× in this paper · explained in 2 episodes
• Calibration — 4× in this paper · explained in 7 episodes
• Consistency — 4× in this paper · explained in 3 episodes
• Fidelity — 4× in this paper · explained in 2 episodes
• Entanglement Entropy — 3× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Ancilla Qubits — 2× in this paper · explained in 1 episode
• Frustration — 2× in this paper · explained in 2 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• RIKEN Center for Quantum Computing — 2× in this paper
• RIKEN Pioneering Research Institute — 2× in this paper
• Adam — 1× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Magnus Expansion — 1× in this paper · explained in 4 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes
• Query Complexity — 1× in this paper · explained in 2 episodes

Sources

• Query-optimal quantum simulation of Lindblad evolution
• Spectral Small-Incremental-Entangling: Breaking Quasi-Polynomial Complexity Barriers in Long-Range Interacting Systems
• Time Independence Does Not Limit Information Flow. II. The Case with Ancillas
• Hamiltonian Simulation in the Interaction Picture
• Time-Dependent Hamiltonian Simulation with Optimal Query Complexity
• An area law and sub-exponential algorithm for 1D systems
• A CS guide to the quantum singular value transformation

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