Spin-outcome correlations and memory-assisted entropic uncertainty in Bhabha scattering with an entangled spectator
Abstract
We investigate spin-outcome correlations and memory-assisted entropic uncertainty in tree-level Bhabha scattering, where an incident electron A scatters with a positron B initially entangled with a spectator electron C. For the fixed-angle post-selected final state, we compare the total memory-assisted uncertainty UA for three alternative Pauli measurements on A with the entanglement entropy S(ρA) across the A|BC partition. We resolve UA into the separate uncertainties UB and UC and evaluate the corresponding outcome-memory mutual-information sums GB and GC. This separates changes in the randomness of the outcomes on A from changes in their correlations with each memory. In the parameter regions studied, enhanced A|BC entanglement is accompanied by lower UA, most prominently near high-energy backscattering. An analytic treatment of this limit shows that B factorizes from AC: GB vanishes, whereas GC increases with the initial B-C entanglement. An entropic complete complementarity analysis characterizes the accompanying loss of local helicity predictability in ρA and changes in the coherence, predictability, and mixedness of the interacting pair ρAB. These results show that initial B-C entanglement can lower the total memory-assisted uncertainty in high-energy backscattering by strengthening spin-outcome correlations with the spectator C, thereby identifying the distinct roles of the interacting particle and the spectator as quantum memories.
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BibTeX
@misc{cao2026spinoutcome,
title = {{Spin-outcome correlations and memory-assisted entropic uncertainty in Bhabha scattering with an entangled spectator}},
author = {Zan Cao and Meng-Long Song and Xue-Ke Song and Liu Ye and Dong Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11629},
eprint = {2610.11629},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11629},
}
RIS
TY - UNPB
TI - Spin-outcome correlations and memory-assisted entropic uncertainty in Bhabha scattering with an entangled spectator
AU - Zan Cao
AU - Meng-Long Song
AU - Xue-Ke Song
AU - Liu Ye
AU - Dong Wang
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11629
UR - https://arxiv.org/abs/2610.11629
AB - We investigate spin-outcome correlations and memory-assisted entropic uncertainty in tree-level Bhabha scattering, where an incident electron A scatters with a positron B initially entangled with a spectator electron C. For the fixed-angle post-selected final state, we compare the total memory-assisted uncertainty U_A for three alternative Pauli measurements on A with the entanglement entropy S(ρ_A) across the A|BC partition. We resolve U_A into the separate uncertainties U_B and U_C and evaluate the corresponding outcome-memory mutual-information sums G_B and G_C. This separates changes in the randomness of the outcomes on A from changes in their correlations with each memory. In the parameter regions studied, enhanced A|BC entanglement is accompanied by lower U_A, most prominently near high-energy backscattering. An analytic treatment of this limit shows that B factorizes from AC: G_B vanishes, whereas G_C increases with the initial B-C entanglement. An entropic complete complementarity analysis characterizes the accompanying loss of local helicity predictability in ρ_A and changes in the coherence, predictability, and mixedness of the interacting pair ρ_AB. These results show that initial B-C entanglement can lower the total memory-assisted uncertainty in high-energy backscattering by strengthening spin-outcome correlations with the spectator C, thereby identifying the distinct roles of the interacting particle and the spectator as quantum memories.
ER -