Photon number projective measurement in Schr\"odinger cat quantum state preparation procedure after parametric down-conversion interaction

V. L. Gorshenin

Photon number projective measurement in Schr\"odinger cat quantum state preparation procedure after parametric down-conversion interaction

Quantum Physics 2026-03-26 v2

Authors: V. L. Gorshenin

Abstract

Schr\"odinger-cat (SC) states are an important resource for continuous-variable quantum computing and quantum metrology. In our previous work [JOSA B, 42, 2 (2025)], we proposed a probabilistic protocol for generating bright squeezed SC states via degenerate spontaneous parametric down-conversion (SPDC) with pump depletion, followed by projective measurement of the pump mode. In the present work, we formulate a general theoretical description of SPDC with pump depletion, introduce an efficient numerical method for computing its dynamics, and develop a practical version of the protocol proposed in [JOSA B, 42, 2 (2025)].

Keywords

spontaneous parametric down-conversion

Cite

@article{arxiv.2507.02201,
  title  = {Photon number projective measurement in Schr\"odinger cat quantum state preparation procedure after parametric down-conversion interaction},
  author = {V. L. Gorshenin},
  journal= {arXiv preprint arXiv:2507.02201},
  year   = {2026}
}

Comments

13 pages, 8 figures

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