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quant-ph 3

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Low-ancilla block encodings via Hamiltonian simulation

quant-ph · 2026-07-02 · unverdicted · novelty 6.0

Single-ancilla approximate block encoding of A = sum alpha_j H_j is achieved via generalized quantum signal processing applied to Hamiltonian simulation, yielding near-optimal depth with one or O(log log(1/epsilon)) ancilla.

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  • Quantum principal component analysis without eigenvector recovery quant-ph · 2026-05-27 · unverdicted · none · ref 26

    Presents a quantum soft PCA framework with Fermi-Dirac filter for principal subspace scoring without eigenvector recovery, claiming dimension-independent sample complexity O(η^{-2}).

  • Low-ancilla block encodings via Hamiltonian simulation quant-ph · 2026-07-02 · unverdicted · none · ref 18

    Single-ancilla approximate block encoding of A = sum alpha_j H_j is achieved via generalized quantum signal processing applied to Hamiltonian simulation, yielding near-optimal depth with one or O(log log(1/epsilon)) ancilla.

  • Quantum Mechanical Studies of Photodissociation Dynamics on Quantum Computers quant-ph · 2026-06-08 · unverdicted · none · ref 30

    Quantum algorithm for photodissociation wavefunction propagation on quantum computers via split-operator, QFT, dilated non-unitary absorber, and Hadamard-test autocorrelation, matching benchmarks on NOCl under ideal conditions with noise robustness.