FAS Scholarly Articles
Recent Submissions
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Beyond Product State Approximations for a Quantum Analogue of Max Cut
(2020-03-31)We consider a computational problem where the goal is to approximate the maximum eigenvalue of a two-local Hamiltonian that describes Heisenberg interactions between qubits located at the vertices of a graph. Previous work ... -
Entanglement spread area law in gapped ground states
(Springer Science and Business Media LLC, 2022-09-15)In this work, we make a connection between two seemingly different problems. The first problem involves characterizing the properties of entanglement in the ground state of gapped local Hamiltonians, which is a central ... -
An area law for 2d frustration-free spin systems
(ACM, 2022-06-09)We prove that the entanglement entropy of the ground state of a locally gapped frustration-free 2D lattice spin system satisfies an area law with respect to a vertical bipartition of the lattice into left and right regions. ...