# Mean hitting times of quantum Markov chains in terms of generalized inverses

@article{Lardizabal2019MeanHT, title={Mean hitting times of quantum Markov chains in terms of generalized inverses}, author={Carlos F. Lardizabal}, journal={Quantum Information Processing}, year={2019}, volume={18} }

We study quantum Markov chains on graphs, described by completely positive maps, following the model due to Gudder (J Math Phys 49:072105, 2008), which includes the dynamics given by open quantum random walks as defined by Attal et al. (J Stat Phys 147:832–852, 2012). After reviewing such structures, we examine a quantum notion of mean time of first visit to a chosen vertex. However, instead of making direct use of the definition as it is usually done, we focus on expressions for such quantity…

## 2 Citations

### Hitting time expressions for quantum channels: beyond the irreducible case and applications to unitary walks

- Mathematics
- 2023

. In this work, we make use of generalized inverses associated with quantum channels acting on ﬁnite-dimensional Hilbert spaces, so that one is able to calculate the mean hitting time for a given…

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