{"@context":"https://schema.org","@type":"TechArticle","@id":"https://research.mahastrategies.com/atlas/tensor-networks#atlas","name":"Tensor Network Optimization Atlas","description":"A source-led, machine-readable research library for matrix product states, MERA, and tensor-network contraction as a classical method for QUBO/Ising optimization and quantum-circuit simulation.","url":"https://research.mahastrategies.com/atlas/tensor-networks","canonicalUrl":"https://research.mahastrategies.com/atlas/tensor-networks","version":"0.1.0","datePublished":"2026-07-29","dateModified":"2026-07-29","lastReviewed":"2026-07-29","evidenceCutoff":"2026-07-29","license":"CC BY 4.0","creativeWorkStatus":"Non-peer-reviewed educational research map","isAccessibleForFree":true,"publisher":{"@id":"https://research.mahastrategies.com/#organization"},"author":{"@id":"https://www.mayonemaharajan.com/#person"},"endpoints":{"metadata":"https://research.mahastrategies.com/atlas/tensor-networks/metadata.json","claims":"https://research.mahastrategies.com/atlas/tensor-networks/claims.json","sources":"https://research.mahastrategies.com/atlas/tensor-networks/sources.json","context":"https://research.mahastrategies.com/atlas/tensor-networks/context.txt","methodology":"https://research.mahastrategies.com/atlas/tensor-networks/methodology"},"statusVocabulary":[{"id":"established","label":"Established result","definition":"A published theorem, standard construction, or reproduced numerical result. The label does not imply the method is practical at every system size, nor that its cost is acceptable for a given application."},{"id":"active-research","label":"Active research","definition":"An open scientific or engineering question with no field-wide resolution. Evidence exists on more than one side, or the comparison needed to settle it has not been run."},{"id":"conjecture","label":"Conjecture","definition":"A proposed correspondence or interpretation that is argued structurally rather than derived, and which has published objections or unmet consistency conditions. It is recorded because it drives research, not because it is settled."}],"counts":{"claims":14,"concepts":16,"sources":17,"benchmarks":2},"scope":"Tensor-network structure and cost models (MPS, PEPS, MERA), the mapping from QUBO/Ising problems into contractible networks, and the evidence status of classical-versus-quantum comparisons on those problems.","exclusions":["No performance figure without a resolvable cited source. The benchmark schema has no throughput, speedup, or runtime field.","No claim that classical tensor-network contraction generally outperforms quantum hardware on industrial optimization workloads — see claim tn-014.","No adjudication of the AdS/MERA correspondence, which is recorded as a conjecture with its published objection.","No vendor rankings, roadmaps-as-evidence, or investment guidance."],"verificationNote":"Source identifiers were resolved against the arXiv API and Crossref on the review date. That establishes the identifier denotes the named paper; it is not a re-reading of each full text."}