Asymptotically Optimal Mixed-State Cloning

arXiv:2609.35986 · quant-ph, math-ph, math.MP · Submitted 2026-09-28 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Fidelity — 106× in this paper · explained in 2 episodes
• Trace — 65× in this paper · explained in 2 episodes
• Sample Complexity — 5× in this paper · explained in 15 episodes
• Ambient Dimension — 3× in this paper · explained in 1 episode
• Benchmark — 2× in this paper · explained in 2 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Generative AI — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes

Sources

• Asymptotic quantum cloning is state estimation
• Noncommuting mixed states cannot be broadcast
• Asymptotically optimal purification and dilution of mixed qubit and Gaussian states
• Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states
• Optimal Universal and State-Dependent Quantum Cloning
• Optimal superbroadcasting of mixed qubit states
• Universal and phase covariant superbroadcasting for mixed qubit states
• The optimal cloning of quantum coherent states is non-Gaussian
• Strategies and Networks for State-Dependent Quantum Cloning
• On quantum estimation, quantum cloning and finite quantum de Finetti theorems
• Optimal asymptotic cloning machines
• Optimal purification of single qubits
• Optimal Broadcasting of Mixed States
• Superbroadcasting of mixed states
• Quantum Cloning of Mixed States in Symmetric Subspace
• Quantum cloning of identical mixed qubits
• Quantum Cloning Machines and the Applications
• Random purification channel made simple
• Quantum teleportation benchmarks for independent and identically-distributed spin states and displaced thermal states

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