Entanglement topography of large-scale quantum networks

• URL: http://arxiv.org/abs/2312.16009v2
• Date: Fri, 5 Jan 2024 14:04:12 GMT
• Title: Entanglement topography of large-scale quantum networks
• Authors: Md Sohel Mondal, Dov Fields, Vladimir S. Malinovsky, Siddhartha Santra
• Abstract summary: Large-scale quantum networks, necessary for distributed quantum information processing, are posited to have quantum entangled systems between distant network nodes. We uncover the parametric entanglement topography and introduce the notion of typical and maximal viable regions for entanglement-enabled tasks in a general model of large-scale quantum networks. We show that such a topographical analysis, in terms of viability regions, reveals important functional information about quantum networks, provides experimental targets for the edge parameters and can guide efficient quantum network design.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Large-scale quantum networks, necessary for distributed quantum information processing, are posited to have quantum entangled systems between distant network nodes. The extent and quality of distributed entanglement in a quantum network, that is its functionality, depends on its topology, edge-parameter distributions and the distribution protocol. We uncover the parametric entanglement topography and introduce the notion of typical and maximal viable regions for entanglement-enabled tasks in a general model of large-scale quantum networks. We show that such a topographical analysis, in terms of viability regions, reveals important functional information about quantum networks, provides experimental targets for the edge parameters and can guide efficient quantum network design. Applied to a photonic quantum network, such a topographical analysis shows that in a network with radius $10^3$ kms and 1500 nodes, arbitrary pairs of nodes can establish quantum secure keys at a rate of $R_{sec}=1$ kHz using $1$ MHz entanglement generation sources on the edges and as few as 3 entanglement swappings at intermediate nodes along network paths.

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