{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/hand-waving-and-interpretive-dance-an","title":"Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks","arxiv_id":"1603.03039","date":"2016-03-09","proceeding":null,"authors":["Jacob C. Bridgeman","Christopher T. Chubb"],"abstract":"The curse of dimensionality associated with the Hilbert space of spin systems provides a significant obstruction to the study of condensed matter systems. Tensor networks have proven an important tool in attempting to overcome this difficulty in both the numerical and analytic regimes. These notes form the basis for a seven lecture course, introducing the basics of a range of common tensor networks and algorithms. In particular, we cover: introductory tensor network notation, applications to quantum information, basic properties of matrix product states, a classification of quantum phases using tensor networks, algorithms for finding matrix product states, basic properties of projected entangled pair states, and multiscale entanglement renormalisation ansatz states. The lectures are intended to be generally accessible, although the relevance of many of the examples may be lost on students without a background in many-body physics/quantum information. For each lecture, several problems are given, with worked solutions in an ancillary file.","url_abs":"http://arxiv.org/abs/1603.03039v4","url_pdf":"http://arxiv.org/pdf/1603.03039v4.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"hand-waving-and-interpretive-dance-an","repo_url":"https://github.com/chubbc/SweepContractor.jl","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok","spdx":"NOASSERTION"}},{"paper_slug":"hand-waving-and-interpretive-dance-an","repo_url":"https://github.com/henrik-dreyer/MPS-in-Qiskit","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok","spdx":"MIT"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1603.03039","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1603.03039"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-24T18:15:14+00:00","read_at_is":"when the build read Syntology's graph, not when any sample ran","claim":"Per-sample execution status on synthesized fixtures; not a correctness claim about the paper. Samples come from repositories linked to the paper, official or community; repo_kind says which.","repos":[{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/chubbc/SweepContractor.jl","reach":{"status":"ok","spdx":"NOASSERTION"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/henrik-dreyer/MPS-in-Qiskit","reach":{"status":"ok","spdx":"MIT"}}],"summary":{"unverified":5},"by_repo_kind":{"listed":{"samples":5,"ran":0,"repositories":1}},"repo_kind_vocabulary":{"official":"The archive marks this repository official for the paper","named_in_paper":"The archive records that the paper mentions this repository; it is not marked official","listed":"In the archive's code links for this paper, not marked official and not recorded as mentioned in the paper","found_in_text":"Syntology found this repository in the paper's own text; whether it is the authors' implementation is not asserted","community":"Not in the archive's code links for this paper; a community repository Syntology harvested"},"n_pointer_only_for_licence":0,"samples":[{"code_sha256_prefix":"f6dc8fea77311857","entry":"complement","repo":"henrik-dreyer/MPS-in-Qiskit","repo_kind":"listed","path":"prepare_MPS.py","file_url":"https://github.com/henrik-dreyer/MPS-in-Qiskit/blob/HEAD/prepare_MPS.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"f6dc8fea77311857"}},{"code_sha256_prefix":"c2729f532275c757","entry":"create_forder","repo":"henrik-dreyer/MPS-in-Qiskit","repo_kind":"listed","path":"ncon.py","file_url":"https://github.com/henrik-dreyer/MPS-in-Qiskit/blob/HEAD/ncon.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"c2729f532275c757"}},{"code_sha256_prefix":"57d0a4567e2fdc1a","entry":"create_order","repo":"henrik-dreyer/MPS-in-Qiskit","repo_kind":"listed","path":"ncon.py","file_url":"https://github.com/henrik-dreyer/MPS-in-Qiskit/blob/HEAD/ncon.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"57d0a4567e2fdc1a"}},{"code_sha256_prefix":"dc09283b1a87a765","entry":"extract_phase","repo":"henrik-dreyer/MPS-in-Qiskit","repo_kind":"listed","path":"prepare_MPS.py","file_url":"https://github.com/henrik-dreyer/MPS-in-Qiskit/blob/HEAD/prepare_MPS.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"dc09283b1a87a765"}},{"code_sha256_prefix":"1364935c173f9b14","entry":"normalize","repo":"henrik-dreyer/MPS-in-Qiskit","repo_kind":"listed","path":"prepare_MPS.py","file_url":"https://github.com/henrik-dreyer/MPS-in-Qiskit/blob/HEAD/prepare_MPS.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"1364935c173f9b14"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}