Author

Tai-Hsuan Yang

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Preprint Sep 2026

Improved estimate of local Markovianity for quantum Gibbs states

We establish improved locally Markovian properties of quantum Gibbs states at every fixed positive temperature. For finite-range interactions of bounded interaction degree, the conditional mutual information (CMI) decays exponentially with separation, with a prefactor exponential in the boundary size of only one of the...

Tai-Hsuan Yang · 0 citations

Preprint Sep 2026

Quantum data processing equality

The quantum data processing inequality asserts that quantum relative entropy is monotonically non-increasing under quantum channels. Here, we promote this fundamental inequality to an exact equality via boundary and surface Poisson integral representations across a complex strip. The relative-entropy loss is resolved i...

Tai-Hsuan Yang · 0 citations

Preprint Sep 2026

Modular commutator as a robust topological invariant and approximate Markovianity

The modular commutator provides a bulk, local, single-wave-function probe of the chiral central charge $c_-$ for gapped ground states. Its invariance under deformations was previously established under a local quantum Markov condition---namely, the conditional mutual information $I(A:C|B)$ is zero for all tripartitions...

Tai-Hsuan Yang · 2 citations