Quantum similarity estimation with hybrid discrete-continuous encoding: algorithm and application to atomtronics precision measurements
Year: 2026
Type: article
Abstract: We introduce a quantum similarity estimation algorithm which employs an entangled discrete-continuous representation and a modified SWAP-test protocol using conditional displacement and controlled-SWAP operations. The corresponding exact form of the similarity metric is analytically derived and its feasible circuit implementation is provided. We apply this result to interferometric images, which are numerically generated from an experimentally viable atomtronics setup. A ring-shaped potential, confining a localized Bose-Einstein condensate (BEC), is considered where the BEC manifests fractional revivals during its confined time-evolution. We perform a precise identification of nonlinearity, originated from interatomic interactions, which can be tuned by Feshbach resonance and thus, the presented method paves the possibility for a magnetic field sensor. Moreover, we perform quantum simulation with Shot-noise of the proposed quantum circuit with public benchmark datasets and analyse the resource and computational complexities of the proposed algorithm.
Source: Scientific Reports
Institution: Indian Institute of Technology Patna
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,690
OpenAlex ID: W7223466353
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