#  Notes 

 



## Notes



 

 

 

[Brandao-Harrow limitation beyond 2-local Hamiltonians?](/file_url/111)

We argue that the Brandao-Harrow limitation does not extend to 4-local Hamiltonians.

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[Quantum union bound](/file_url/102)

A remark on the recent [O'Donnell-Ventakeswaran](https://arxiv.org/abs/2103.07827) proof and [Sen](https://arxiv.org/abs/1109.0802) proof.

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[Learning commuting hamiltonian from Gibbs state](/file_url/103)

A note on time-efficient algorithm for learning commuting lattice hamiltonian from its Gibbs state.