Joint-measurement advantage and finite-time transitions in accelerated detector registers
Abstract
The Unruh response thermalizes accelerated detectors, but the entanglement remaining in a register does not by itself specify what distributed measurements can recover. We study this distinction for a four-qubit cluster state whose two assisting nodes independently undergo generalized amplitude damping, while the target nodes remain isolated and the environments are inaccessible. We derive the exact joint-assisted concurrence and the exact one-way value for arbitrary local measurements. The joint optimum equals the bipartition negativity, and computational-basis measurements attain the one-way optimum. A polar-decomposition argument, together with compactness, establishes a necessary and sufficient condition for separable measurements to attain the joint optimum and proves a strict gap whenever this condition fails. For assisting detectors at equal Unruh temperature with relaxation-rate ratio r>1, joint advantage exists precisely when the thermal excitation factor satisfies q<1/r. At finite positive temperature it ends at a unique finite time, while the remaining entanglement is nonzero. For r=2, both the transition time and remaining resource have closed expressions. These results identify when joint assistance is necessary within the independent weak-coupling thermalization model.
Related
- Phase-controlled recoverable entanglement in accelerated detector registers
- Quantum speed limit time of a uniformly accelerated Unruh-DeWitt detector
- Advantage of Entangled Learning Rules in Quantum Measurement Class Learning
- Measurement of forward jet suppression in Pb+Pb collisions at √(sNN)=5.02$ TeV with the ATLAS detector
- Measurement of tZq inclusive and differential cross-sections in pp collisions at √s = 13 TeV with the ATLAS detector
BibTeX
@misc{huang2026jointmeasurement,
title = {{Joint-measurement advantage and finite-time transitions in accelerated detector registers}},
author = {Zhiming Huang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19941},
eprint = {2610.19941},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19941},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Joint-measurement advantage and finite-time transitions in accelerated detector registers
AU - Zhiming Huang
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.19941
UR - https://arxiv.org/abs/2610.19941
AB - The Unruh response thermalizes accelerated detectors, but the entanglement remaining in a register does not by itself specify what distributed measurements can recover. We study this distinction for a four-qubit cluster state whose two assisting nodes independently undergo generalized amplitude damping, while the target nodes remain isolated and the environments are inaccessible. We derive the exact joint-assisted concurrence and the exact one-way value for arbitrary local measurements. The joint optimum equals the bipartition negativity, and computational-basis measurements attain the one-way optimum. A polar-decomposition argument, together with compactness, establishes a necessary and sufficient condition for separable measurements to attain the joint optimum and proves a strict gap whenever this condition fails. For assisting detectors at equal Unruh temperature with relaxation-rate ratio r>1, joint advantage exists precisely when the thermal excitation factor satisfies q<1/r. At finite positive temperature it ends at a unique finite time, while the remaining entanglement is nonzero. For r=2, both the transition time and remaining resource have closed expressions. These results identify when joint assistance is necessary within the independent weak-coupling thermalization model.
ER -