TY - JOUR
T1 - Correcting for finite statistics effects in a quantum steering experiment
AU - Engineer, Sophie
AU - Costa, Ana C. S.
AU - Orthey, Alexandre C.
AU - Qiang, Xiaogang
AU - Wang, Jianwei
AU - O'Brien, Jeremy L.
AU - Matthews, Jonathan C. F.
AU - McCutcheon, Will
AU - Uola, Roope
AU - Wollmann, Sabine
PY - 2025/5/16
Y1 - 2025/5/16
N2 - Verifying entanglement between parties is essential for creating secure quantum communication. However, finite statistics can lead to false positive outcomes in any tests for entanglement. Here, we introduce a one-sided device-independent protocol that corrects for apparent signaling effects in experimental probability distributions, caused by statistical fluctuations and experimental imperfections. We use semidefinite programming to identify the optimal inequality, for our experimental probability distribution, without resource-intensive tomography. Our protocol is numerically and experimentally analyzed in the context of random, misaligned measurements, correcting apparent signaling where necessary. Our results show a significantly higher probability of violation than existing state-of-the-art inequalities. This study demonstrates the power of semidefinite programming for entanglement verification and brings quantum networks closer to practical applications.
AB - Verifying entanglement between parties is essential for creating secure quantum communication. However, finite statistics can lead to false positive outcomes in any tests for entanglement. Here, we introduce a one-sided device-independent protocol that corrects for apparent signaling effects in experimental probability distributions, caused by statistical fluctuations and experimental imperfections. We use semidefinite programming to identify the optimal inequality, for our experimental probability distribution, without resource-intensive tomography. Our protocol is numerically and experimentally analyzed in the context of random, misaligned measurements, correcting apparent signaling where necessary. Our results show a significantly higher probability of violation than existing state-of-the-art inequalities. This study demonstrates the power of semidefinite programming for entanglement verification and brings quantum networks closer to practical applications.
KW - Entanglement detection
KW - Nonlocality
KW - Optical quantum information processing
KW - Quantum communication
KW - Quantum communication, protocols & technology
KW - Quantum correlations in quantum information
KW - Quantum networks
UR - http://www.scopus.com/inward/record.url?scp=105005509194&partnerID=8YFLogxK
U2 - 10.1103/physrevresearch.7.023156
DO - 10.1103/physrevresearch.7.023156
M3 - Article
SN - 2643-1564
VL - 7
JO - Physical Review Research
JF - Physical Review Research
IS - 2
M1 - 023156
ER -