A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.
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An optimization framework for high-efficiency quantum Feshbach engines in trapped BECs is developed using variational dynamics and Nelson's stochastic quantization to minimize cost functionals for protocol duration versus physical constraints.
HAVQDS achieves higher approximation ratios on 6-14 qubit SK instances than adiabatic or CD methods while cutting CNOT counts by 1-2 orders of magnitude.
QOSTE derives minimal-energy controls for N-level quantum protocols by finding geodesics in the rotating frame, yielding quadratic energy improvement over STA for long times.
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Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space
A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.
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Optimal Quantum Feshbach Engines
An optimization framework for high-efficiency quantum Feshbach engines in trapped BECs is developed using variational dynamics and Nelson's stochastic quantization to minimize cost functionals for protocol duration versus physical constraints.
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Hybrid Real-Imaginary Time Evolution for Low-Depth Hamiltonian Simulation in Quantum Optimization
HAVQDS achieves higher approximation ratios on 6-14 qubit SK instances than adiabatic or CD methods while cutting CNOT counts by 1-2 orders of magnitude.
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Energy shortcut of N-level quantum protocols by optimal control
QOSTE derives minimal-energy controls for N-level quantum protocols by finding geodesics in the rotating frame, yielding quadratic energy improvement over STA for long times.