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Quantum circuit representation and incomplete Bell measurements in Compton scattering
Abstract
We formulate massless tree-level Compton scattering as an effective two-qubit operation on electron and photon helicities. In the Bell basis, the scattering map separates into two parity sectors and admits a simple quantum circuit representation with one nonunitary filter. After Kraus normalization, this filter defines an unsharp incomplete Bell measurement that distinguishes the two Bell-parity sectors but not the relative Bell label within each sector. We further show that the incomplete measurement alone does not surpass the classical teleportation threshold, whereas a subsequent complete Bell-basis readout enables unit conditional teleportation fidelity.
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BibTeX
@misc{xie2026quantum,
title = {{Quantum circuit representation and incomplete Bell measurements in Compton scattering}},
author = {Wei Xie and Yu-Chen Guo and Shuang Li and Ji-Chong Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15526},
eprint = {2610.15526},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15526},
}
RIS
TY - UNPB
TI - Quantum circuit representation and incomplete Bell measurements in Compton scattering
AU - Wei Xie
AU - Yu-Chen Guo
AU - Shuang Li
AU - Ji-Chong Yang
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15526
UR - https://arxiv.org/abs/2610.15526
AB - We formulate massless tree-level Compton scattering as an effective two-qubit operation on electron and photon helicities. In the Bell basis, the scattering map separates into two parity sectors and admits a simple quantum circuit representation with one nonunitary filter. After Kraus normalization, this filter defines an unsharp incomplete Bell measurement that distinguishes the two Bell-parity sectors but not the relative Bell label within each sector. We further show that the incomplete measurement alone does not surpass the classical teleportation threshold, whereas a subsequent complete Bell-basis readout enables unit conditional teleportation fidelity.
ER -