New Pauli orbit and modified Gell-Mann bases enable polynomial-cost Lie-algebraic simulation for permutation-equivariant and bounded-excitation quantum dynamics.
Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of physics326, 96 (2011)
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A tree tensor network renormalization decomposes matrix product states into log-depth quantum circuits with a fidelity-depth trade-off parameter, extended to matrix product operators for ancilla-free overlap verification circuits.
Structured state preparation in QCQMC improves energy accuracy over pure variational methods across molecular, condensed-matter, nuclear, and graph problems.
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Enabling Lie-Algebraic Classical Simulation beyond Free Fermions
New Pauli orbit and modified Gell-Mann bases enable polynomial-cost Lie-algebraic simulation for permutation-equivariant and bounded-excitation quantum dynamics.
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A tree tensor network renormalization decomposes matrix product states into log-depth quantum circuits with a fidelity-depth trade-off parameter, extended to matrix product operators for ancilla-free overlap verification circuits.
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A unified quantum computing quantum Monte Carlo framework through structured state preparation
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