Quantum Co-Design of Inhomogeneous Many-Body Neutrino Fast Flavor Transformation
Abstract
Dense-neutrino flavor evolution is a quantum many-body problem whose fully correlated treatment becomes rapidly more expensive with increasing particle number and spatial structure. We develop a \texttt{QCNO} quantum simulation code that maps a inhomogeneous forward-scattering neutrino Hamiltonian with advection and finite-range interactions to TEBD2 product-formula quantum circuits, and connects ideal many-body simulation, backend-aware execution, and fault-tolerant resource estimation within the same physical model. We reproduce the exact many-body evolution of the suppressed mean-field-like transverse fast flavor instability through N=30 and show that even a single open-boundary interaction generates Rënyi entanglement and non-stabilizer magic, although noisy backends still produce polarization RMSEs of order $0.1−−0.3$. The restricted active interaction graph of this problem allows us to estimate the circuit depth and T gate cost through N=50 for both NISQ and fault-tolerant approaches. The measured TEBD2 error in our fiducial ideal simulation of order 10−3 motivates a synthesis tolerance εsyn∼10−7, corresponding to about $70$ T gates per RZ rotation. The generated circuit contains 1.4×104 T gates per qubit for open boundaries (twice that for closed boundaries), requiring an application-level logical-T error target of order 10−7 for early fault-tolerant architectures.
Related
- Quasi-steady flavor configuration of multi-energy neutrino ensembles
- Neutrino Flavor Conversion Shapes the Rate of Failed Core-collapse Supernovae
- Neutrino flavor instabilities intermediate between slow and fast
- Collective flavor conversion in dense neutrino plasmas
- Three-flavor neutrino Boltzmann transport and flavor instabilities in long-lived neutron-star merger remnants
BibTeX
@misc{laraib2026quantum,
title = {{Quantum Co-Design of Inhomogeneous Many-Body Neutrino Fast Flavor Transformation}},
author = {Zoha Laraib and Sherwood Richers and Alessandro Baroni and Kathleen Hamilton and In-Saeng Suh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12334},
eprint = {2610.12334},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12334},
}
RIS
TY - UNPB
TI - Quantum Co-Design of Inhomogeneous Many-Body Neutrino Fast Flavor Transformation
AU - Zoha Laraib
AU - Sherwood Richers
AU - Alessandro Baroni
AU - Kathleen Hamilton
AU - In-Saeng Suh
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12334
UR - https://arxiv.org/abs/2610.12334
AB - Dense-neutrino flavor evolution is a quantum many-body problem whose fully correlated treatment becomes rapidly more expensive with increasing particle number and spatial structure. We develop a \texttt{QCNO} quantum simulation code that maps a inhomogeneous forward-scattering neutrino Hamiltonian with advection and finite-range interactions to TEBD2 product-formula quantum circuits, and connects ideal many-body simulation, backend-aware execution, and fault-tolerant resource estimation within the same physical model. We reproduce the exact many-body evolution of the suppressed mean-field-like transverse fast flavor instability through N=30 and show that even a single open-boundary interaction generates Rënyi entanglement and non-stabilizer magic, although noisy backends still produce polarization RMSEs of order $0.1−−0.3$. The restricted active interaction graph of this problem allows us to estimate the circuit depth and T gate cost through N=50 for both NISQ and fault-tolerant approaches. The measured TEBD2 error in our fiducial ideal simulation of order 10^−3 motivates a synthesis tolerance ε_syn∼10^−7, corresponding to about $70$ T gates per R_Z rotation. The generated circuit contains 1.4×10^4 T gates per qubit for open boundaries (twice that for closed boundaries), requiring an application-level logical-T error target of order 10^−7 for early fault-tolerant architectures.
ER -