aiqbench analysis
This research advances quantum network security by demonstrating that the toric code can be self-tested even when untrusted devices exchange classical messages within bounded distances. The study provides a noise-robust protocol for certifying multipartite quantum states without relying on assumptions about device internals, extending these results to surface codes and cluster states. This work is critical for developing practical, secure quantum communication architectures resilient to realistic network imperfections.
Self-testing the toric code against classical communication
arXiv:2609.40259v1 Announce Type: new Abstract: Device-independent self-testing certifies a multipartite quantum state from the correlations it produces alone, without assumptions on the inner workings of the devices. Most existing self-tests, however, break down as soon as the parties can exchange messages. We consider a relaxed setting in a quantum network, where in the honest version of the protocol, the parties never communicate, yet certification remains sound even in an untrusted case where the untrusted devices secretly exchange classical messages within a bounded distance in the network. We show that the code space of the toric code, distributed over a network with the geometry of a torus, can be self-tested in this setting in a noise-robust way, against communication up to distances proportional to the network diameter. We also develop an algorithmic method for constructing such protocols and extend our results to the surface code and cluster states, robust to one round of nearest-neighbor classical communication
Abstract:Device-independent self-testing certifies a multipartite quantum state from the correlations it produces alone, without assumptions on the inner workings of the devices. Most existing self-tests, however, break down as soon as the parties can exchange messages. We consider a relaxed setting in a quantum network, where in the honest version of the protocol, the parties never communicate, yet certification remains sound even in an untrusted case where the untrusted devices secretly exchange classical messages within a bounded distance in the network. We show that the code space of the toric code, distributed over a network with the geometry of a torus, can be self-tested in this setting in a noise-robust way, against communication up to distances proportional to the network diameter. We also develop an algorithmic method for constructing such protocols and extend our results to the surface code and cluster states, robust to one round of nearest-neighbor classical communication
arXiv:2609.40259 [quant-ph]
(or arXiv:2609.40259v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2609.40259 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 241 words
