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Quantum rate-distortion theory for memoryless sources

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2 Author(s)
Devetak, I. ; Dept. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA ; Berger, T.

We formulate quantum rate-distortion theory in the most general setting where classical side information is included in the tradeoff. Using a natural distortion measure based on entanglement fidelity and specializing to the case of an unrestricted classical side channel, we find the exact quantum rate-distortion function for a source of isotropic qubits. An upper bound we believe to be exact is found in the case of biased sources. We establish that in this scenario optimal rate-distortion codes produce no entropy exchange with the environment of any individual qubit

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Information Theory, IEEE Transactions on  (Volume:48 ,  Issue: 6 )