Experimental demonstration of quantum communication advantage for Euclidean distance calculation using coherent state fingerprints
By
[Submitted on 29 May 2026]
Toasted to a respectable shade. No regrets, no crumbs left.
Summary
This paper presents an experimental demonstration of quantum advantage in communication complexity for the Euclidean distance problem. The researchers implemented a quantum fingerprinting protocol using coherent state pulse trains (rather than hard-to-generate entangled qubits) to calculate Euclidean distance between vectors representing real data sets. Using amplitude modulation for encoding non-binary data and superconducting nanowire single-photon detectors, they demonstrated a quantum advantage in transmitted information surpassing the best classical protocol for input sizes of 10^8, including tests with real grayscale images, with reasonable precision and error bounds.
Key quotes
· 4 pulledThe use of quantum states may lead to an exponential advantage in the use of such resources.
We perform a proof-of-principle experimental demonstration of the Euclidean distance protocol using amplitude modulation techniques for encoding non-binary data sets and high-performance superconducting nanowire single-photon detectors required to increase the accessible input size.
We show a quantum advantage in transmitted information surpassing the best classical protocol for an input size of $10^8$, for diverse types of data sets, including those corresponding to real grayscale images, and with reasonable precision and error bounds.
Our results highlight the potential of quantum communication complexity for use in a broad set of applications.
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