隐马尔可夫量子存储信道的代数测度
The Algebraic Measure of a Hidden Markov Quantum Memory Channel
摘要:
本文以海报形式在2008年QCMC会议上和会议记录中提出。这是一份更完整的文件的摘要,将单独发表。研究了具有记忆噪声量子信道的经典乘积态容量。通过在两个去极化信道之间进行马尔可夫切换,在连续的信道使用之间引入非马尔可夫噪声相关性,构造了一个遗忘噪声记忆信道。马尔可夫过程的这个函数可以重新表述为代数测度。这个框架提供了一个表达式的渐近熵率,从而使经典容量的计算。探讨了隐马尔可夫记忆对容量的影响。发现噪声相关性的增加增加了容量。
英文摘要:
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.
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