Author

Sohom Bhattacharya

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Preprint Sep 2026

Parisi Formula for the ground state energy of quantum p-Spin Hamiltonians

Quantum $p$-local spin glass Hamiltonians are natural quantum analogues of the classical spin glass models. We provide an asymptotic characterization of the maximal energy achievable by the product states. We prove that for every $p \ge 2$, the limit of ground state energy exists and is given by a Parisi-type variation...

Sohom Bhattacharya · 1 citation

Preprint Sep 2026

LDP for Tensor Forms

The large deviation principle (LDP) is studied for a tensor-weighted functional of i.i.d. random variables, when the sequence of tensors converges under a variant of the"bad"cut norm, and sufficient conditions for uniqueness of the optimizer and existence of constant optimizers are given.

Reihaneh Malekian, Sohom Bhattacharya, Nabarun Deb et al. · 0 citations