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Black-box quantum state preparation without arithmetic

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arxiv 1807.03206 v2 pith:Y2UFG2M2 submitted 2018-07-09 quant-ph

classification quant-ph
keywords quantumarithmeticpreparationstateblack-boxcomputerfactormany
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Black-box quantum state preparation is an important subroutine in many quantum algorithms. The standard approach requires the quantum computer to do arithmetic, which is a key contributor to the complexity. Here we present a new algorithm that avoids arithmetic. We thereby reduce the number of gates by a factor of 286-374 over the best prior work for realistic precision; the improvement factor increases with the precision. As quantum state preparation is a crucial subroutine in many approaches to simulating physics on a quantum computer, our new method brings useful quantum simulation closer to reality.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

    quant-ph 2026-01 conditional novelty 8.0 of 10

    A quantum algorithm estimates Fokker-Planck reaction rates with sublinear-time, polynomial-in-particle-number cost, giving an exponential-in-particle-number separation from the sharpest classical worst-case Langevin bounds.

  2. Quantum algorithm for solving differential equations using SLAC derivatives

    quant-ph 2026-05 unverdicted novelty 6.0 of 10

    Presents LCU block-encodings for SLAC derivative operators, applies Shannon wavelets and preconditioning, and obtains O(d n^3 α^(k) log(1/ε)) gate complexity for d-dimensional PDEs via QLSA.

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