Optimal compression for identically prepared qubit states

Abstract

We establish the ultimate limits to the compression of sequences of identically prepared qubits. The limits are determined by Holevo's information quantity and are attained through use of the optimal universal cloning machine, which finds here a novel application to quantum Shannon theory.

5+ 12 pages, 3 figures. Published version.A few typos corrected

References in corpus (6)

• Efficient Quantum Circuits for Schur and Clebsch-Gordan Transforms
• Experimental optimal cloning of four-dimensional quantum states of photons
• Quantum Data Compression of a Qubit Ensemble
• Optimal mirror phase-covariant cloning
• Universal and phase covariant superbroadcasting for mixed qubit states
• Superbroadcasting and classical information

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• Implementation of quantum compression on IBM quantum computers
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• Quantum Compression of Tensor Network States
• Approximate quantum state reconstruction without a quantum channel
• A General Quantum Duality for Representations of Groups with Applications to Quantum Money, Lightning, and Fire
• Compression for Qubit Clocks
• Compression of quantum shallow-circuit states