Optimal compression for mixed signal states

Abstract

We consider the problem of the optimal compression rate in the case of the source producing mixed signal states within the {\it visible} scheme (where Alice, who is to compress the signal, can know the identities of the produced states). We show that a simple strategy based on replacing the signal states with their {\it extensions} gives {\it optimal} compression. As a result we obtain a considerable simplification of the formula for optimal compression rate within visible scheme.

RevTeX, 5 pages, improvement of the proof (changes in the formula (16))

References in corpus (4)

• Information transmission through a noisy quantum channel
• Universal Quantum Information Compression
• Limits for compression of quantum information carried by ensembles of mixed states
• The quantum capacity is properly defined without encodings

Cited by in corpus (11)

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• On nonlocality as a resource theory and nonlocality measures
• Compressibility of Mixed-State Signals
• Optimal Visible Compression Rate For Mixed States Is Determined By Entanglement Of Purification
• Visible compression of commuting mixed states
• Quantum information is incompressible without errors
• Entanglement-Assisted Quantum Data Compression
• From Quantum Source Compression to Quantum Thermodynamics
• Numerical Analysis of Boosting Scheme for Scalable NMR Quantum Computation
• Rate Reduction of Blind Quantum Data Compression with Local Approximations Based on Unstable Structure of Quantum States
• Strongly non-quantitative classical information in quantum carriers