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Peer-reviewedCC BYPhysical review. D/Physical review. D.

Antiflatness and nonlocal nonstabilizerness in two-particle scattering processes

  • Caroline Robin1,2
  • Martin J. Savage A3
  1. 1GSI Helmholtzzentrum für Schwerionenforschung
  2. 2Universität Bielefeld
  3. 3University of Washington
Open at sourceDOICite

Abstract

Nonlocal nonstabilizerness (NL NS) and antiflatness provide a measure of the quantum complexity in the wave function of a physical system. Supported by entanglement, they cannot be removed by local unitary operations, thus providing basis-independent measures, and sufficiently large values underpin the need for quantum computers in order to perform precise simulations of the system at scale. Towards a better understanding of the quantum-complexity generation by fundamental interactions, the building blocks of many-body systems, we consider nonlocal nonstabilizerness and antiflatness in two-particle scattering processes, specifically focusing on low-energy nucleon-nucleon scattering and high-energy Møller scattering. We find that the nonlocal nonstabilizerness induced in both interactions is four times the antiflatness (which is found to be true for any two-qubit wave function), and verify the relation between the Clifford-averaged antiflatness and total nonstabilizerness. For these processes, the antiflatness is a more experimentally accessible quantity as it can be determined from one of the final-state particles, and does not require spin correlations. While the Møller experiment at the Thomas Jefferson National Accelerator Facility does not include final-state spin measurements, the results presented here may add motivation to consider their future inclusion.

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Cite

BibTeXRIS
BibTeX
@article{robin2026antiflatness,
  title = {{Antiflatness and nonlocal nonstabilizerness in two-particle scattering processes}},
  author = {Caroline Robin and Martin J. Savage A},
  journal = {Physical review. D/Physical review. D.},
  year = {2026},
  month = may,
  doi = {10.1103/hvft-hk9p},
  url = {https://doi.org/10.1103/hvft-hk9p},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Antiflatness and nonlocal nonstabilizerness in two-particle scattering processes
AU  - Caroline Robin
AU  - Martin J. Savage A
PY  - 2026
DA  - 2026/05/26
JO  - Physical review. D/Physical review. D.
DO  - 10.1103/hvft-hk9p
UR  - https://doi.org/10.1103/hvft-hk9p
AB  - Nonlocal nonstabilizerness (NL NS) and antiflatness provide a measure of the quantum complexity in the wave function of a physical system. Supported by entanglement, they cannot be removed by local unitary operations, thus providing basis-independent measures, and sufficiently large values underpin the need for quantum computers in order to perform precise simulations of the system at scale. Towards a better understanding of the quantum-complexity generation by fundamental interactions, the building blocks of many-body systems, we consider nonlocal nonstabilizerness and antiflatness in two-particle scattering processes, specifically focusing on low-energy nucleon-nucleon scattering and high-energy Møller scattering. We find that the nonlocal nonstabilizerness induced in both interactions is four times the antiflatness (which is found to be true for any two-qubit wave function), and verify the relation between the Clifford-averaged antiflatness and total nonstabilizerness. For these processes, the antiflatness is a more experimentally accessible quantity as it can be determined from one of the final-state particles, and does not require spin correlations. While the Møller experiment at the Thomas Jefferson National Accelerator Facility does not include final-state spin measurements, the results presented here may add motivation to consider their future inclusion.
SN  - 2470-0010
SN  - 2470-0029
SN  - 2470-0037
ER  -