We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combining open quantum random walks with a notion of recurrence, we are able to describe criteria for recurrence of the walk related to this class of channels. Positive recurrence for open walks is also discussed in this context.
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Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
Lardizabal, Carlos F.
Souza, Rafael R.
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Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
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Chungbuk Natl Univ, Dept Math, Cheongju, Chungbuk, South KoreaChungbuk Natl Univ, Dept Math, Cheongju, Chungbuk, South Korea
Dhahri, Ameur
Mukhamedov, Farrukh
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United Arab Emirates Univ, Dept Math Sci, Coll Sci, POB 15551, Al Ain, U Arab EmiratesChungbuk Natl Univ, Dept Math, Cheongju, Chungbuk, South Korea
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United Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates
VI Romanovski, Inst Math, 4,Univ str, Tashkent 100125, UzbekistanUnited Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates
Mukhamedov, Farrukh
Souissi, Abdessatar
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Qassim Univ, Coll Business Management, Dept Accounting, Buraydah, Saudi Arabia
Carthage Univ, Preparatory Inst Sci, Tech Studies, Amilcar 1054, TunisiaUnited Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates
Souissi, Abdessatar
Hamdi, Tarek
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Qassim Univ, Coll Business Management, Dept Accounting, Buraydah, Saudi Arabia
Univ Tunis El Manar, Lab Anal Math & Applicat, LR11ES11, Tunis, TunisiaUnited Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates
Hamdi, Tarek
Andolsi, Amenallah
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Univ Tunis Manar, Fac Sci Tunis, Nucl Phys & High Energy Phys Res Unit, Tunis 2092, TunisiaUnited Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates
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Kyushu Univ, Inst Math Ind, Fukuoka 8190395, Japan
Kyushu Univ, Int Inst Carbon Neutral Energy Res WPI I2CNER, Fukuoka 8190395, JapanYokohama Natl Univ, Fac Engn, Dept Appl Math, Yokohama 2408501, Japan