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Engineering quantum reservoirs through Krylov complexity, expressivity, and observability

Saud Čindrak*, Lina Jaurigue, and Kathy Lüdge

  • *Contact author: saud.cindrak@tu-ilmenau.de

Krylov complexity in the ergodically constrained nonintegrable transverse-field Ising model

Gaurav Rudra Malik, Jeet Sharma, Rohit Kumar Shukla, S. Aravinda, and Sunil Kumar Mishra

Phys. Rev. B 113 184207 (2026)

Theory and interpretability of quantum extreme learning machines: A Pauli transfer matrix approach

Markus Gross and Hans-Martin Rieser

Phys. Rev. A 114 042459 (2026)

A phase space approach to the wavefunction spreading and operator growth in the Krylov basis

Kunal Pal, Kuntal Pal, and Keun-Young Kim

J. High Energ. Phys. 2026 187 (2026)

Emergence of Krylov complexity through quantum walks: an exploration of the quantum origins of complexity

Dimitrios Patramanis and Watse Sybesma

J. High Energ. Phys. 2026 85 (2026)

From Krylov complexity to observability: Capturing phase space dimension with applications in quantum reservoir computing

Saud Čindrak, Kathy Lüdge, and Lina Jaurigue

Phys. Rev. Research 7 L042039 (2025)

Modulation instability, stochastic soliton dynamics, and analytical solutions in the Fokas-Lenells equation with quadratic-cubic nonlinearity

Yousef Alnafisah, Hamdy M. Ahmed, and Wafaa B. Rabie

Ain Shams Engineering Journal 16 103804 (2025)

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