Pith. sign in

REVIEW 1 cited by

Quantum Markov Chains: A unification approach

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1811.00500 v1 pith:RLNXICJO submitted 2018-11-01 math.OA math.QA

Luigi Accardi , Abdessatar Souissi , El Gheteb Soueidy This is my paper · ORCID
classification math.OAmath.QA
keywords markovchainsquantumalgebrasapproachlocalpropertyreconstruction
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

In the present paper we study a unified approach for Quantum Markov Chains. A new quantum Markov property that generalizes the old one, is discussed. We introduce Markov states and chains on general local algebras, possessing a generic algebraic property, including both Boson and Fermi algebras. The main result is a reconstruction theorem for quantum Markov chains in the mentioned kind of local algebras. Namely, this reconstruction allows the reproduction of all existing examples of quantum Markov chains and states.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Construction of Dynamical Entropy on CAR Algebras

    math-ph 2019-08 conditional novelty 4.0 of 10

    A new dynamical entropy on CAR algebras is formulated following the AOW construction, and it is computed to vanish for a 2x2 matrix algebra example.

Pith tools