Develops a quantum algorithm for linear matrix differential equations with query complexity O~(ν L t / ε) that is nearly optimal and yields polynomial to exponential speedups for open quantum system simulation.
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TD-FLF reduces the time-dependent Schrödinger equation for correlated fermions to a generalized eigenvalue problem using a time-dependent distribution of a classical fluctuating field, yielding results close to exact diagonalization on half-filled 2D Hubbard lattices while outperforming mean-field.
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Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems
Develops a quantum algorithm for linear matrix differential equations with query complexity O~(ν L t / ε) that is nearly optimal and yields polynomial to exponential speedups for open quantum system simulation.
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Time-dependent fluctuating local field approach for description of the correlated fermions dynamics
TD-FLF reduces the time-dependent Schrödinger equation for correlated fermions to a generalized eigenvalue problem using a time-dependent distribution of a classical fluctuating field, yielding results close to exact diagonalization on half-filled 2D Hubbard lattices while outperforming mean-field.