Quantum Communication & Benchmarking

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Abstractions about quantum key-distribution protocols, logical and physical qubits, network structure, randomized benchmarking, and physical limits on information processing.

6 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• BB84 — A quantum key-distribution protocol in which randomly chosen conjugate encoding bases let two parties sift correlated bits and estimate whether interception disturbed the channel before deriving a shorter secret key.
• Bennett's Laws — A four-relation resource preorder for ideal two-party quantum communication: a transmitted qubit can simulate a classical bit channel or distribute one ebit, while an ebit plus one transmitted qubit simulates two classical bits and an ebit plus two classical bits simulates one transmitted qubit.
• Physical and Logical Qubits — The quantum-computing layer boundary that realizes an algorithm-facing qubit as encoded states and operations in noisier physical degrees of freedom.
• Quantum Complex Network — A complex network in which vertices, links, or both carry quantum systems and resources, so topology and admissible quantum operations jointly determine correlations, connectivity, and communication capability.
• Randomized Benchmarking — A scalable quantum-control characterization protocol that estimates an average gate-error parameter from survival-probability decay across random, length-varying gate sequences followed by a recovery operation.
• Six-state protocol — Distribute quantum-key bits by randomly preparing and measuring qubits in three mutually unbiased bases, then sift, estimate errors, reconcile, and privacy-amplify the retained data.