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Parallel quantum signal processing via polynomial factorization
Quantum signal processing (QSP) is a methodology for constructing polynomial
transformations of a linear operator encoded in a unitary. Applied to an encoding of a state …
transformations of a linear operator encoded in a unitary. Applied to an encoding of a state …
Learning the structure of any Hamiltonian from minimal assumptions
A Zhao - arxiv preprint arxiv:2410.21635, 2024 - arxiv.org
We study the problem of learning an unknown quantum many-body Hamiltonian $ H $ from
black-box queries to its time evolution $ e^{-\mathrm {i} H t} $. Prior proposals for solving this …
black-box queries to its time evolution $ e^{-\mathrm {i} H t} $. Prior proposals for solving this …
The Hitchhiker's Guide to QSP pre-processing
SE Skelton - arxiv preprint arxiv:2501.05977, 2025 - arxiv.org
Quantum signal processing (QSP) relies on a historically costly pre-processing step," QSP-
processing/phase-factor finding." QSP-processing is now a developed topic within quantum …
processing/phase-factor finding." QSP-processing is now a developed topic within quantum …
Randomly Compiled Quantum Simulation with Exponentially Reduced Circuit Depths
JD Watson - arxiv preprint arxiv:2411.04240, 2024 - arxiv.org
The quantum stochastic drift protocol, also known as qDRIFT, has become a popular
algorithm for implementing time-evolution of quantum systems using randomised compiling …
algorithm for implementing time-evolution of quantum systems using randomised compiling …