Characterization-free classification and identification of the environment between two quantum players

Fuente: arXiv
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Auteurs principaux: Hayashi, Masahito, Cao, Longyang, Yu, Baichu, Zhao, Yuan-Yuan
Format: Preprint
Publié: 2026
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author Hayashi, Masahito
Cao, Longyang
Yu, Baichu
Zhao, Yuan-Yuan
author_facet Hayashi, Masahito
Cao, Longyang
Yu, Baichu
Zhao, Yuan-Yuan
contents Classifying the causal structure of quantum channels is essential for verifying quantum networks and certifying quantum resources. We introduce a characterization-free protocol enabling two isolated players, Alice and Bob, to classify and identify the definite-order strategy adopted by an unknown environment mediating their channels. Without assuming knowledge of their devices or the environment, the players infer the causal order solely from input-output statistics by testing Markovian conditions that we prove are necessary and sufficient for each strategy class. Remarkably, we prove that even with a minimal random channel consisting of two-outcome POVMs and two-state preparations, the protocol retains full performance with probability one. We experimentally demonstrate the protocol on an optical platform, reliably distinguishing between several strategies. Our results provide a strong and robust tool for causal inference in quantum networks.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20997
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Characterization-free classification and identification of the environment between two quantum players
Hayashi, Masahito
Cao, Longyang
Yu, Baichu
Zhao, Yuan-Yuan
Quantum Physics
Classifying the causal structure of quantum channels is essential for verifying quantum networks and certifying quantum resources. We introduce a characterization-free protocol enabling two isolated players, Alice and Bob, to classify and identify the definite-order strategy adopted by an unknown environment mediating their channels. Without assuming knowledge of their devices or the environment, the players infer the causal order solely from input-output statistics by testing Markovian conditions that we prove are necessary and sufficient for each strategy class. Remarkably, we prove that even with a minimal random channel consisting of two-outcome POVMs and two-state preparations, the protocol retains full performance with probability one. We experimentally demonstrate the protocol on an optical platform, reliably distinguishing between several strategies. Our results provide a strong and robust tool for causal inference in quantum networks.
title Characterization-free classification and identification of the environment between two quantum players
topic Quantum Physics
url https://arxiv.org/abs/2602.20997