Low-rank propagation for tridiagonalizable open quantum systems: near-linear scaling with system size

arXiv:2609.25368 · quant-ph · Submitted 2026-09-21 · Read on arXiv

quant-ph

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Trace — 10× in this paper · explained in 2 episodes
• Accuracy — 7× in this paper · explained in 1 episode
• Benchmark — 3× in this paper · explained in 2 episodes
• Entanglement — 3× in this paper · explained in 3 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Lindblad Dynamics — 2× in this paper · explained in 2 episodes
• Lindblad master equation — 2× in this paper · explained in 2 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Non-Markovian Dynamics — 1× in this paper · explained in 5 episodes
• Operator Entanglement — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes

Sources

• Arbitrary High Order Low-rank Completely Positive and Trace Preserving (CPTP) Schemes for Lindblad Equations with Time-dependent Hamiltonian
• Completely Positive and Trace Preserving Schemes with Tensor Train Compression for the Lindblad Equation
• Hybrid non-degenerate parametric amplifier for a microwave cavity mode and an NV ensemble
• NV-ensemble enabled microwave/NV parametric amplifier with optimal driving

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