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Correction: Relating moments of self-adjoint polynomials in two orthogonal projections
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Summing free unitary Brownian motions with applications to quantum information
Motivated by quantum information theory, we introduce a dynamical random density matrix built out of the sum of \(k \ge 2\) ...
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Open quantum random walks and quantum Markov Chains on trees II: the recurrence
The present paper is a continuation of earlier appeared work, where we have constructed Quantum Markov Chains (QMC) associated with Open Quantum Random Walks and discussed a phase transition phenomena within t...
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Article
Relating moments of self-adjoint polynomials in two orthogonal projections
Given two orthogonal projections \(\{P,Q\}\) { P ...
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Article
Quantum Markov Chains on Comb Graphs: Ising Model
We construct quantum Markov chains (QMCs) over comb graphs. As an application of this construction, we prove the existence of a disordered phase for Ising type models (within the QMC scheme) over comb graphs....
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Chapter and Conference Paper
A Hybrid Approach for Fake News Detection in Twitter Based on User Features and Graph Embedding
The quest for trustworthy, reliable and efficient sources of information has been a struggle long before the era of internet. However, social media unleashed an abundance of information and neglected the estab...
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Free Mutual Information for Two Projections
The present paper provides a proof of \(i^*(\mathbb {C}P+\mathbb {C}(I-P); \mathbb {C}Q+\mathbb {C}(I-Q))=-\chi _{{ orb}}(P,Q)\) ...
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Open AccessState of rheumatic fever in Algeria. Viewpoint of a cardiac surgeon.
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Open AccessMitral valve sub valvular apparatus preservation in pure or predominant rheumatic mitral stenosis
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Open AccessMid-term results of mitral valve repair for pure mitral regurgitation in children
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Stochastic Analysis for Obtuse Random Walks
We present a construction of the basic operators of stochastic analysis (gradient and divergence) for a class of discrete-time normal martingales called obtuse random walks. The approach is based on the chaos ...
