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Hamiltonian Forging of a Thermofield Double

Daniel Fa\'ildeJuan Santos-Su\'arezDavid A. Herrera-Mart\'i and Javier Mas
Nov 2023
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摘要原文
We address the variational preparation of Gibbs states as the ground state of a suitably engineered Hamiltonian acting on the doubled Hilbert space. The construction is exact for quadratic fermionic Hamiltonians and gives excellent approximations up to fairly high quartic deformations. We provide a variational circuit whose optimization returns the unitary diagonalizing operator, thus giving access to the whole spectrum. The problem naturally implements the entanglement forging ansatz, allowing the computation of Thermofield Doubles with a higher number of qubits than in competing frameworks.
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