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Classical capacity of a qubit depolarizing channel with memory

Jeroen Wouters, M. Fannes, Ismail Yunus Akhalwaya +1 more

The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise-memory channel is constructed by Markov switching between two depolarizing channels which introduces non-Markovian noise correlations between successive channel uses. The computation of the capacity is reduced to an entropy computation for a function of a Markov process. A reformulation in terms of algebraic measures then enables its calculation. The effects of the hidden-Markovian memory on the capacity are explored. An increase in noise correlations is found to increase the capacity.The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise-memory channel is constructed by Markov switching between two depolarizing channels which introduces non-Markovian noise correlations between successive channel uses. The computation of the capacity is reduced to an entropy computation for a function of a Markov process. A reformulation in terms of algebraic measures then enables its calculation. The effects of the hidden-Markovian memory on the capacity are explored. An increase in noise correlations is found to increase the capacity.

arXiv:0901.2516Physical Review AApr 2, 200915 citations

Detecting lower bounds to classical capacity of correlated quantum channels

Mingxiao Li, Zhu‐Jun Zheng

The European Physical Journal PlusApr 1, 20220 citations

The Algebraic Measure of a Hidden Markov Quantum Memory Channel

I. Akhalwaya, J. Wouters, M. Fannes +2 more

The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise‐memory channel is constructed by Markov switching between two depolarizing channels which introduces non‐Markovian noise correlations between successive channel uses. This function of a Markov process can be reformulated as an algebraic measure. This framework provides an expression for the asymptotic entropy rate and thus enables the calculation of the classical capacity. The effects of the hidden‐Markovian memory on the capacity are explored. An increase in noise‐correlations is found to increase the capacity.The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise‐memory channel is constructed by Markov switching between two depolarizing channels which introduces non‐Markovian noise correlations between successive channel uses. This function of a Markov process can be reformulated as an algebraic measure. This framework provides an expression for the asymptotic entropy rate and thus enables the calculation of the classical capacity. The effects of the hidden‐Markovian memory on the capacity are explored. An increase in noise‐correlations is found to increase the capacity.

arXiv:0901.2528AIP conference proceedingsJan 1, 20090 citations

Quantum Capacity of Noisy Quantum Channel

Masanori Ohya, Noboru Watanabe

Springer eBooksJan 1, 199734 citations

The Algebraic Measure of a Hidden Markov Quantum Memory Channel

Ismail Yunus Akhalwaya, Jeroen Wouters, M. Fannes +1 more

This paper was presented in poster form at and in the proceedings of the QCMC 2008. It is a summary of a fuller paper to appear separately. The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise-memory channel is constructed by Markov switching between two depolarizing channels which introduces non-Markovian noise correlations between successive channel uses. This function of a Markov process can be reformulated as an algebraic measure. This framework provides an expression for the asymptotic entropy rate and thus enables the calculation of the classical capacity. The effects of the hidden-Markovian memory on the capacity are explored. An increase in noise-correlations is found to increase the capacity. 1This paper was presented in poster form at and in the proceedings of the QCMC 2008. It is a summary of a fuller paper to appear separately. The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise-memory channel is constructed by Markov switching between two depolarizing channels which introduces non-Markovian noise correlations between successive channel uses. This function of a Markov process can be reformulated as an algebraic measure. This framework provides an expression for the asymptotic entropy rate and thus enables the calculation of the classical capacity. The effects of the hidden-Markovian memory on the capacity are explored. An increase in noise-correlations is found to increase the capacity. 1

Jan 1, 20080 citations

Noise enhancing the classical information capacity of a quantum channel

Garry Bowen, Stefano Mancini

arXiv:quant-ph/0311126Physics Letters ADec 16, 200313 citations

Classical Capacity of Quantum Channels with General Markovian Correlated Noise

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