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.
Multivariable qsp and bosonic quantum simulation using iterated quantum signal processing,
4 Pith papers cite this work. Polarity classification is still indexing.
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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.
A polynomial-time classical decision algorithm exactly characterizes which multivariable Laurent polynomial pairs are realizable by M-QSP and supplies a constructive implementation when the answer is yes.
Claims query-optimal bivariate-QSP simulation of non-Hermitian Hamiltonians, but the constructive angle-finding chain is circular and contradicted by the paper's own benchmarks.
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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Polynomial time constructive decision algorithm for multivariable quantum signal processing
A polynomial-time classical decision algorithm exactly characterizes which multivariable Laurent polynomial pairs are realizable by M-QSP and supplies a constructive implementation when the answer is yes.
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Simulation of Non-Hermitian Hamiltonians with Bivariate Quantum Signal Processing
Claims query-optimal bivariate-QSP simulation of non-Hermitian Hamiltonians, but the constructive angle-finding chain is circular and contradicted by the paper's own benchmarks.