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Recursive quantum eigenvalue and singular-value transformation: Analytic construction of matrix sign function by Newton iteration

Kaoru Mizuta1,2,* and Keisuke Fujii3,4,1,5

  • 1RIKEN Center for Quantum Computing (RQC), Hirosawa 2-1, Wako, Saitama 351-0198, Japan
  • 2Department of Applied Physics, The University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-8656, Japan
  • 3Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan
  • 4Center for Quantum Information and Quantum Biology, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan
  • 5Fujitsu Quantum Computing Joint Research Division at QIQB, Osaka University, 1-2 Machikaneyama, Toyonaka 560-0043, Japan

  • *mizuta@qi.t.u-tokyo.ac.jp

Explicit decoders using fixed-point amplitude amplification based on QSVT

Takeru Utsumi and Yoshifumi Nakata

Quantum 10 2024 (2026)

An adversary bound for quantum signal processing

Lorenzo Laneve

Quantum 10 2025 (2026)

Spectral Gaps with Quantum Counting Queries and Oblivious State Preparation

Almudena Carrera Vazquez and Aleksandros Sobczyk

Quantum 10 2067 (2026)

Matrix logistic map: Fractal spectral distributions and transfer of chaos

Łukasz Pawela and Karol Życzkowski

Chaos: An Interdisciplinary Journal of Nonlinear Science 36 033139 (2026)

On multivariate polynomials achievable with quantum signal processing

Lorenzo Laneve and Stefan Wolf

Quantum 9 1641 (2025)

Modular quantum signal processing in many variables

Zane M. Rossi, Jack L. Ceroni, and Isaac L. Chuang

Quantum 9 1776 (2025)

Heisenberg-Limited Adaptive Gradient Estimation for Multiple Observables

Kaito Wada, Naoki Yamamoto, and Nobuyuki Yoshioka

PRX Quantum 6 020308 (2025)

Quantum community detection via deterministic elimination

Chukwudubem Umeano, Stefano Scali, and Oleksandr Kyriienko

Phys. Rev. A 112 052422 (2025)

No title available

Robin OLLIVE and Stephane LOUISE

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