On limiting distributions of quantum Markov chains

DOI10.1155/2011/740816zbMath1225.81080arXiv1010.0741OpenAlexW3103148455WikidataQ58687925 ScholiaQ58687925MaRDI QIDQ638087

Chaobin Liu, Petulante, Nelson

Publication date: 9 September 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0741

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Quantum stochastic calculus (81S25)

Related Items (12)

Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions ⋮ A Noether theorem for stochastic operators on Schatten classes ⋮ A Perron-Frobenius type of theorem for quantum operations ⋮ Limit measures of inhomogeneous discrete-time quantum walks in one dimension ⋮ A quantization procedure based on completely positive maps and Markov operators ⋮ Quantum Markov chains: description of hybrid systems, decidability of equivalence, and model checking linear-time properties ⋮ Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory ⋮ Decomposition of quantum Markov chains and its applications ⋮ Quantum walks: a comprehensive review ⋮ Unitary conjugation channels with continuous random phases ⋮ Open quantum random walks, quantum Markov chains and recurrence ⋮ On a class of quantum channels, open random walks and recurrence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random quantum operations
• Completely positive linear maps on complex matrices
• Quantum information theory and quantum statistics.
• An example of the difference between quantum and classical random walks
• Noiseless subsystems and the structure of the commutant in quantum error correction
• Incoherent tunneling effects in a one-dimensional quantum walk
• On the von Neumann entropy of certain quantum walks subject to decoherence
• One Dimensional Quantum Walks with Memory
• Contractivity of positive and trace-preserving maps under Lp norms
• QUANTUM CHANNELS, WAVELETS, DILATIONS AND REPRESENTATIONS OF $\mathcal{O}_{n}$
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
• Fixed points of quantum operations
• One-dimensional quantum walks
• Quantum walks on graphs
• A Quantum Version of Wielandt's Inequality
• LIMIT THEOREMS FOR QUANTUM WALKS DRIVEN BY MANY COINS
• Decoherence in quantum walks – a review

This page was built for publication: On limiting distributions of quantum Markov chains