Locality and filter design for dissipative ground-state preparation

arXiv:2609.31266 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Comments: 21+7 pages 4 figures

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

Terminology

• Trace — 17× in this paper · explained in 2 episodes
• Lindblad Dynamics — 9× in this paper · explained in 2 episodes
• Accuracy — 8× in this paper · explained in 1 episode
• Block Encoding — 5× in this paper · explained in 4 episodes
• Spectral Gap — 5× in this paper · explained in 5 episodes
• Cluster expansion — 4× in this paper · explained in 2 episodes
• Hubbard Model — 3× in this paper · explained in 3 episodes
• Trace Distance — 3× in this paper · explained in 3 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Hypergraph — 2× in this paper · explained in 2 episodes
• Lindblad master equation — 2× in this paper · explained in 2 episodes
• Ab Initio — 1× in this paper · explained in 1 episode
• Adiabatic Evolution — 1× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Quantum Computation by Adiabatic Evolution
• Near-optimal ground state preparation
• Large time-step discretisation of adiabatic quantum dynamics
• Optimal scaling quantum linear systems solver via discrete adiabatic theorem
• Quantum measurements and the Abelian Stabilizer Problem
• Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Quantum computation, quantum state engineering, and quantum phase transitions driven by dissipation
• Quantum Metropolis Sampling
• Szegedy Walk Unitaries for Quantum Maps
• Quantum Thermal State Preparation
• An efficient and exact noncommutative quantum Gibbs sampler
• Quantum generalizations of Glauber and Metropolis dynamics
• Dissipative ground state preparation and the Dissipative Quantum Eigensolver
• Single-ancilla ground state preparation via Lindbladians
• Simulating Open Quantum Systems Using Hamiltonian Simulations
• Global zero-excitation state preparation through subsystem cooling
• Simple and efficient end-to-end quantum thermal and ground state preparation
• Rapid quantum ground state preparation via dissipative dynamics
• Efficient thermalization and universal quantum computing with quantum Gibbs samplers

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