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quant-ph2026
Improved classical optimization of fermionic Hamiltonians beyond Gaussian states
Ojas Parekh
We give a polynomial-time randomized classical algorithm that approximates the largest eigenvalue of a traceless quartic fermionic Hamiltonian on modes. The algo…
quant-ph2026
Polynomial-time classical and quantum simulation of quantum impurity models
Jiaqing Jiang, Nathan Ju, Ojas Parekh +2
Quantum impurity models are paradigmatic models of interacting quantum matter, as well as key computational primitives for modern electronic-structure methods. They describe a smal…
quant-ph2026
Optimal testing of fermionic and bosonic Gaussian states
Vishnu Iyer, Bryan O'Gorman, Ojas Parekh +2
We study the problem of property testing quantum states: given a pure state that either (A) belongs to some class of pure states, or (B) is -far in tra…