Quantum signal processing angles admit closed-form expressions via orthogonal polynomial theory, allowing O(log(1/ε)) gate block-encodings of smooth functions through Hermite expansions and full characterization of SU(1,1)-QSP polynomials by roots.
Encoded Quantum Signal Processing for Heisenberg-Limited Metrology.arXiv preprint
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Maps qubit-oscillator quantum control problems to QSP to enable analytical design of operators that suppress cross-Kerr effects and selectively address Fock states.
Embedding experimental quantum states into high-distance codes enables exponential speedups in fault-tolerant shadow tomography and cubic observable estimation over unencoded adaptive strategies.
VISTA achieves near-Heisenberg scaling in moderately noisy quantum magnetometry by passively evolving a probe, comparing it via swap test to a physics-informed quantum twin circuit, and optimizing only physical parameters with quasi-normalization.
citing papers explorer
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Analytical Angle-Finding and Series Expansions for Quantum Signal Processing via Orthogonal Polynomial Theory
Quantum signal processing angles admit closed-form expressions via orthogonal polynomial theory, allowing O(log(1/ε)) gate block-encodings of smooth functions through Hermite expansions and full characterization of SU(1,1)-QSP polynomials by roots.
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Analytic Approach to Quantum Control Using Quantum Signal Processing
Maps qubit-oscillator quantum control problems to QSP to enable analytical design of operators that suppress cross-Kerr effects and selectively address Fock states.
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Exponential speedups in fault-tolerant processing of quantum experiments
Embedding experimental quantum states into high-distance codes enables exponential speedups in fault-tolerant shadow tomography and cubic observable estimation over unencoded adaptive strategies.
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GHZ is All You Need: Quantum Sensing with VISTA
VISTA achieves near-Heisenberg scaling in moderately noisy quantum magnetometry by passively evolving a probe, comparing it via swap test to a physics-informed quantum twin circuit, and optimizing only physical parameters with quasi-normalization.