Introduces Closest Accessible Symmetry reduction to analyze spectra of Hamiltonian interpolations by projecting onto closest accessible symmetries, yielding weakly coupled sectors that capture quantum phase transition signatures.
Bounds for the adiabatic approximation with applications to quantum computation
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abstract
We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of interest in quantum computing.
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quant-ph 1years
2026 1verdicts
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Closest Accessible Symmetry reduction: a tool for Hamiltonian interpolation analysis
Introduces Closest Accessible Symmetry reduction to analyze spectra of Hamiltonian interpolations by projecting onto closest accessible symmetries, yielding weakly coupled sectors that capture quantum phase transition signatures.