| Uniform rapid mixing | definition | definition 2.4 | arxiv |
| 10SDHTTFW4 | statement | lemma D.13 | arxiv |
| Quasifree stability from finite-time matrix contraction | statement | lemma C.7 | arxiv |
| 1NN3ZH4GWT | statement | proposition C.6 | arxiv |
| Fixed-coefficient fermionic construction | example | example 3.5 | arxiv |
| Fixed-coefficient fermionic construction | example | example A.2 | arxiv |
| 1Z3N2ZCMVY | example | example A.1 | arxiv |
| Mixing under a small contractive perturbation | statement | lemma 3.1 | arxiv |
| Bulk-dissipative cover | definition | definition B.1 | arxiv |
| Stability of strong bulk dissipation | statement | proposition 4.4 | arxiv |
| 3M2HQJN5MQ | statement | proposition C.8 | arxiv |
| Mixing time | definition | definition 2.1 | arxiv |
| Stability of translation-invariant quasifree dynamics under Lindbladian perturbations | statement | proposition 4.11 | arxiv |
| Rapid mixing with constant decay rate | definition | definition 2.3 | arxiv |
| Rapid mixing of quasifree fermionic Lindbladians | statement | proposition C.5 | arxiv |
| Reset perturbation | statement | lemma D.5 | arxiv |
| Rapid mixing | definition | definition 2.2 | arxiv |
| 70QS45D47H | statement | proposition 4.14 | arxiv |
| Conditional expectation and infinite-time limit, Proposition 8 of , Theorem 19 | statement | proposition D.6 | arxiv |
| Conditional expectation and infinite-time limit, Proposition 8 of , Theorem 19 | statement | proposition 4.12 | arxiv |
| Stability under commuting additions | statement | proposition 4.3 | arxiv |
| Bulk-cover rapid mixing with constant decay rate and stability | statement | proposition B.3 | arxiv |
| 9JMSFJYKD0 | statement | corollary B.7 | arxiv |
| Commuting addition to a relaxing generator | statement | lemma 4.1 | arxiv |
| Stability of high-temperature Gibbs samplers | statement | corollary 4.6 | arxiv |
| A9XQ2XRCMA | statement | proposition B.6 | arxiv |
| Stability of the Gibbs sampler | statement | corollary B.10 | arxiv |
| Per-site influence estimate | statement | lemma B.5 | arxiv |
| C5HVK0AAHX | example | example A.7 | arxiv |
| CQBJVW1Q2S | example | example A.6 | arxiv |
| Well-defined infinite-time limit | statement | lemma D.1 | arxiv |
| EK2NJSXGSW | statement | proposition E.2 | arxiv |
| Commuting sum: mixing-time upper bound | statement | lemma D.2 | arxiv |
| FMPSDN9QWQ | statement | lemma F.2 | arxiv |
| Closed evolution of quasiderivations | statement | lemma C.3 | arxiv |
| Checkerboard decomposition of Ising dynamics | example | example A.4 | arxiv |
| H84DS8C7Y9 | statement | proposition D.10 | arxiv |
| Translation invariance and fixed local coefficients do not make rapid mixing additive | statement | lemma 3.4 | arxiv |
| Stability under quasifree additions | statement | proposition 4.10 | arxiv |
| KNHVZDYDEM | statement | proposition 4.13 | arxiv |
| MLSI | definition | definition 2.5 | arxiv |
| M4NQ9V6VE1 | statement | lemma B.2 | arxiv |
| Dissipation-only rapid mixing is not additive | statement | lemma 3.6 | arxiv |
| Rapid mixing does not imply MLSI | statement | lemma 3.12 | arxiv |
| PKQ43BK1FP | statement | lemma A.3 | arxiv |
| Adjoint identities for Majorana quasiderivations | statement | lemma C.2 | arxiv |
| Loss of long-range order under strong local noise | statement | corollary 4.8 | arxiv |
| Q4AN0ZYD3N | statement | lemma D.3 | arxiv |
| Spin-chain construction | example | example 3.3 | arxiv |
| Boundary dissipation of a localized mode | example | example 3.11 | arxiv |
| $\chi^2$ contraction bound; adapted Lemma 12 | statement | proposition E.1 | arxiv |
| Quasifree fermionic Lindbladian | definition | definition 4.9 | arxiv |
| Stability of the $\chi^2$ mixing bound | statement | proposition 4.15 | arxiv |
| Stability of simple injective MPDO parent Lindbladians | statement | corollary B.11 | arxiv |
| Dissipation-only construction | example | example A.5 | arxiv |
| Dissipation-only construction | example | example 3.7 | arxiv |
| Commuting sum with kernel inclusion | statement | lemma 4.2 | arxiv |
| Difference of local Lindbladians | statement | corollary B.8 | arxiv |
| T5WS53AVHN | statement | lemma D.4 | arxiv |
| Swap of fixed points, Lemma 2.1 | statement | proposition D.8 | arxiv |
| A common full-rank fixed point does not make rapid mixing additive | statement | lemma 3.2 | arxiv |
| Perturbation of Hamiltonians and jump operators | statement | corollary B.9 | arxiv |
| Exponential decay for local-mixing-time Volterra inequalities | statement | lemma B.4 | arxiv |
| Oscillator and trace-norm estimate | statement | lemma C.4 | arxiv |
| Mixing implies contraction on the traceless subspace | statement | lemma F.1 | arxiv |
| Chain rule, Lemma 3.4 | statement | proposition D.7 | arxiv |
| An arbitrarily weak local Hamiltonian can destroy rapid mixing | statement | lemma 3.10 | arxiv |
| A local Hamiltonian can destroy rapid mixing | statement | lemma 3.8 | arxiv |
| Commuting strong bulk dissipation | statement | corollary 4.5 | arxiv |
| Additivity of the entropy production | statement | lemma D.9 | arxiv |
| Rapid mixing is unstable under arbitrarily weak local perturbations | conjecture | conjecture 5.1 | arxiv |
| MLSI of a reset perturbation | statement | corollary D.12 | arxiv |
| Hamiltonian construction | example | example 3.9 | arxiv |
| Stability of simple injective MPDO parent dynamics | statement | corollary 4.7 | arxiv |
| Uniform rapid mixing with constant decay rate under uniform dissipation | statement | corollary C.9 | arxiv |
| ZG2NE74X64 | statement | proposition D.11 | arxiv |
