ENTANGLED MARKOV CHAINS ARE INDEED ENTANGLED

DOI10.1142/S0219025706002445zbMath1106.60067MaRDI QIDQ5493868

Luigi Accardi, Takashi Matsuoka, Masanori Ohya

Publication date: 16 October 2006

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

quantum Markov chaindegree of entanglementmultiple entanglement

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Measures of information, entropy (94A17) Markov processes (60J99)

Related Items (12)

Infinite volume limits of entangled states ⋮ Nonlinear stochastic operators and associated inhomogeneous entangled quantum Markov chains ⋮ Topological quantum structures from association schemes ⋮ On a \(\psi\)-mixing property for entangled Markov chains ⋮ Quantum mutual entropy defined by liftings ⋮ UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE ⋮ Nuclear Realization of Virasoro–Zamolodchikov-w_∞⋆-Lie Algebras Through the Renormalized Higher Powers of Quantum Meixner White Noise ⋮ Quantum correlation with entanglement and mutual entropy ⋮ QUANTUM MARKOV FIELDS ON GRAPHS ⋮ On Classical and Quantum Liftings ⋮ Pascal white noise calculus ⋮ INTERACTING FOCK SPACES AND THE MOMENTS OF THE LIMIT DISTRIBUTIONS FOR QUANTUM RANDOM WALKS

Cites Work

• Some aspects of quantum information theory and their applications to irreversible processes
• Compound channels, transition expectations, and liftings
• From quantum cellular automata to quantum lattice gases
• Finitely correlated pure states
• Separability of mixed states: necessary and sufficient conditions.
• An example of the difference between quantum and classical random walks
• Quantum random walks in one dimension
• QUANTUM ENTROPY AND INFORMATION IN DISCRETE ENTANGLED STATES
• Separability Criterion for Density Matrices
• Entanglement, quantum entropy and mutual information
• ENTANGLED MARKOV CHAINS GENERATED BY SYMMETRIC CHANNELS

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