Removing correlations in signals transmitted over a quantum memory channel

Abstract

We consider a model of bosonic memory channel, which induces correlations among the transmitted signals. The application of suitable unitary transformations at encoding and decoding stages allows the complete removal of correlations, mapping the memory channel into a memoryless one. However, such transformations, being global over an arbitrary large number of bosonic modes, are not realistically implementable. We then introduce a family of efficiently realizable transformations which can be used to partially remove correlations among errors, and we quantify the reduction of the gap with memoryless channels.

6 pages, 6 figures, comments welcome

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Cited by in corpus (5)

• Quantum Markov Order
• Experimental characterisation of a non-Markovian quantum process
• Memory Effects in Quantum Processes
• Cross talk compensation in multimode continuous-variable entanglement distribution
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips