Universal Free-Electron-Sideband Control

Abstract

Advances in free-electron quantum optics are establishing free electrons as a versatile quantum resource. Photon-induced near-field electron microscopy (PINEM) interactions and free drift provide elementary operations for shaping the longitudinal electron wavefunction, yet their full control capabilities remain unexplored. Here, we prove that a finite sequence of alternating monochromatic PINEM interactions and free drifts can approximate any prescribed inner-product-preserving map from a finite-dimensional input subspace into the full ideal electron-sideband Hilbert space to arbitrary accuracy. We therefore call the protocol PINEMAD (PINEM And Drift). This framework encompasses state preparation, unitary gates, and isometric encoding. We further show numerically that parameter optimization enables high-fidelity state preparation at finite electron energy spreads, using experimentally accessible coupling strengths and tabletop-scale total drift lengths. These results establish electron energy sidebands as a programmable quantum resource.

Phonon-assisted free-electron recoil control and mechanical sensing
Sunjun Hwang, Lee Wei Wesley Wong, Liang Jie Wong +1
arXiv21 Oct 2026PreprintarXiv licenceFull textCondensed matter High-energy & particle physicsarXiv
The exact universal exchange-only local field factor of the uniform electron gas and its near-cancellation by parallel-spin correlation near 2kF
Carl A. Kukkonen
arXiv8 Sep 2026PreprintarXiv licenceFull textCondensed matterarXiv
Meshfree versus grid-based Schrodinger solvers for modeling the interactions between free-electron wave packets and light
Mitja Funk, Sebastian Merk, Caroline Lasser +2
Physical Review Research6 Nov 2026Peer-reviewedCC BY 4.0Atomic, molecular & optical physicsCrossref
A Data-free Universal Prior over Syntactic Structures
Fermín Moscoso del Prado Martín
arXiv1 Oct 2026PreprintarXiv licenceFull textCondensed matterarXiv
Fractional Impurity Entropy from Potential Scattering in a Free Electron Gas
Syeda Neha Zaidi, Jukka I. Väyrynen
arXiv29 Aug 2026PreprintarXiv licenceFull textCondensed matterarXiv

Cite

BibTeX RIS

BibTeX

@misc{shen2026universal,
  title = {{Universal Free-Electron-Sideband Control}},
  author = {Tong Shen and Zhexin Zhao and Meng Xiao},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04432},
  eprint = {2611.04432},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04432},
}

RIS

TY  - UNPB
TI  - Universal Free-Electron-Sideband Control
AU  - Tong Shen
AU  - Zhexin Zhao
AU  - Meng Xiao
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04432
UR  - https://arxiv.org/abs/2611.04432
AB  - Advances in free-electron quantum optics are establishing free electrons as a versatile quantum resource. Photon-induced near-field electron microscopy (PINEM) interactions and free drift provide elementary operations for shaping the longitudinal electron wavefunction, yet their full control capabilities remain unexplored. Here, we prove that a finite sequence of alternating monochromatic PINEM interactions and free drifts can approximate any prescribed inner-product-preserving map from a finite-dimensional input subspace into the full ideal electron-sideband Hilbert space to arbitrary accuracy. We therefore call the protocol PINEMAD (PINEM And Drift). This framework encompasses state preparation, unitary gates, and isometric encoding. We further show numerically that parameter optimization enables high-fidelity state preparation at finite electron energy spreads, using experimentally accessible coupling strengths and tabletop-scale total drift lengths. These results establish electron energy sidebands as a programmable quantum resource.
ER  -

Abstract

Related

Cite