Randomized sparse-QSVT reduces gate counts by up to 10x for inhomogeneous many-term Hamiltonians at moderate error (around 10^{-3}), but deterministic QSVT becomes cheaper for higher precision.
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A mean-field phase-space method emulates continuous-time dynamics of up to thousands of qubits with quadratic cost, capturing single-qubit observables qualitatively on transverse-field Ising models.
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When is randomization advantageous in quantum simulation?
Randomized sparse-QSVT reduces gate counts by up to 10x for inhomogeneous many-term Hamiltonians at moderate error (around 10^{-3}), but deterministic QSVT becomes cheaper for higher precision.
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Emulation of large-scale qubit registers with a phase-space approach
A mean-field phase-space method emulates continuous-time dynamics of up to thousands of qubits with quadratic cost, capturing single-qubit observables qualitatively on transverse-field Ising models.