Lattice Lindbladian simulation by patching and merging

arXiv:2609.26372 · quant-ph, cond-mat.other · Submitted 2026-09-22 · Read on arXiv

quant-ph, cond-mat.other

Submitted: 2026-09-22

Updated: 2026-09-22

Comments: 41 pages, 7 figures, 1 Table

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Ancilla Qubits — 27× in this paper · explained in 1 episode
• Quantum Circuits — 13× in this paper · explained in 2 episodes
• Unitary Dynamics — 6× in this paper · explained in 2 episodes
• Query Complexity — 4× in this paper · explained in 2 episodes
• Gibbs State — 3× in this paper · explained in 2 episodes
• Area Law — 2× in this paper · explained in 1 episode
• Block Encoding — 2× in this paper · explained in 4 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Ab Initio — 1× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 3 episodes
• Lindblad Dynamics — 1× in this paper · explained in 2 episodes
• Lindblad master equation — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Quantum Singular Value Transformation (QSVT) — 1× in this paper · explained in 4 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes

Sources

• Well-conditioned multiproduct Hamiltonian simulation
• Multi-product Hamiltonian simulation with explicit commutator scaling
• An efficient and exact noncommutative quantum Gibbs sampler
• Efficient Quantum Algorithms for Simulating Lindblad Evolution
• Simulating Markovian open quantum systems using higher-order series expansion
• Optimizing digital quantum simulation of open quantum lattice models
• Lindbladian Simulation with Commutator Bounds
• Query-optimal quantum simulation of Lindblad evolution
• Query-Optimal and Gate-Efficient Lindbladian Simulation
• Stability of the Area Law for the Entropy of Entanglement
• Unbiased random circuit compiler for time-dependent Hamiltonian simulation
• Hamiltonian Simulation in the Interaction Picture
• Fast-forwardable Lindbladians imply quantum phase estimation
• L'evy-Khintchine Structure Enables Fast-Forwardable Lindbladian Simulation
• Hamiltonian Simulation via Stochastic Zassenhaus Expansions

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