Introduces a dilation framework for quantum simulation of linear DAEs, applied to structure-preserving discretizations of unsteady Stokes flow yielding simulation cost scaling as O(h^{-2} sqrt(t)).
Theory of trotter error with commutator scaling.Physical Review X, 11(1):011020
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Heisenberg-limited Hamiltonian learning is achievable with any constant minimum evolution time T per query, attaining optimal 1/ε total-time scaling for logarithmically sparse Hamiltonians.
Commutation-graph coloring yields Trotter ordering strategies whose error performance is analyzed theoretically and measured empirically on Heisenberg-style lattices.
citing papers explorer
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Quantum Simulation of Differential-Algebraic Equations with Applications to Unsteady Stokes Flow
Introduces a dilation framework for quantum simulation of linear DAEs, applied to structure-preserving discretizations of unsteady Stokes flow yielding simulation cost scaling as O(h^{-2} sqrt(t)).
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Heisenberg-limited Hamiltonian learning without short-time control
Heisenberg-limited Hamiltonian learning is achievable with any constant minimum evolution time T per query, attaining optimal 1/ε total-time scaling for logarithmically sparse Hamiltonians.
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An Analysis of Commutation-Based Trotter Ordering Strategies on Heisenberg-Style Hamiltonians
Commutation-graph coloring yields Trotter ordering strategies whose error performance is analyzed theoretically and measured empirically on Heisenberg-style lattices.