Optimal Broadcasting of Mixed States

Abstract

The N to M (M>N) universal quantum broadcasting of mixed states are proposed for qubits system. The broadcasting of mixed states is universal and optimal in the sense that the shrinking factor is independent of input state and achieves the upper bound. The quantum broadcasting of mixed qubits is a generalization of the universal quantum cloning machine for identical pure input states. A new pure state decompositions of the identical mixed qubits are obtained.

10 pages, published version

References in corpus (16)

• Quantum Copying: Beyond the No-Cloning Theorem
• Optimal Quantum Cloning Machines
• Noncommuting mixed states cannot be broadcast
• Quantum cloning
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• Quantum Cloning of Mixed States in Symmetric Subspace
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Cited by in corpus (7)

• Quantum Cloning Machines and the Applications
• Quantum computing with mixed states
• Variational Quantum Cloning: Improving Practicality for Quantum Cryptanalysis
• Unified quantum no-go theorems and transforming of quantum states in a restricted set
• Quantum secure learning with classical samples
• Quantum Chernoff bound as a measure of efficiency of quantum cloning for mixed states
• Ensuring superior learning outcomes and data security for authorized learner