{"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/matrix-model-simulations-using-quantum","title":"Matrix Model simulations using Quantum Computing, Deep Learning, and Lattice Monte Carlo","arxiv_id":"2108.02942","date":"2021-08-06","proceeding":null,"authors":["Enrico Rinaldi","Xizhi Han","Mohammad Hassan","Yuan Feng","Franco Nori","Michael McGuigan","Masanori Hanada"],"abstract":"Matrix quantum mechanics plays various important roles in theoretical physics, such as a holographic description of quantum black holes. Understanding quantum black holes and the role of entanglement in a holographic setup is of paramount importance for the development of better quantum algorithms (quantum error correction codes) and for the realization of a quantum theory of gravity. Quantum computing and deep learning offer us potentially useful approaches to study the dynamics of matrix quantum mechanics. In this paper we perform a systematic survey for quantum computing and deep learning approaches to matrix quantum mechanics, comparing them to Lattice Monte Carlo simulations. In particular, we test the performance of each method by calculating the low-energy spectrum.","url_abs":"https://arxiv.org/abs/2108.02942v1","url_pdf":"https://arxiv.org/pdf/2108.02942v1.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":"matrix-model-simulations-using-quantum","repo_url":"https://github.com/erinaldi/bmn2-qutip","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"matrix-model-simulations-using-quantum","repo_url":"https://github.com/erinaldi/bmn2-lattice","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}},{"paper_slug":"matrix-model-simulations-using-quantum","repo_url":"https://github.com/erinaldi/bmn2-qiskit","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"matrix-model-simulations-using-quantum","repo_url":"https://github.com/erinaldi/mm-qc-dl-supplemental","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}},{"paper_slug":"matrix-model-simulations-using-quantum","repo_url":"https://github.com/hanxzh94/minimal_BMN_MQM","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":{"status":"ok"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2108.02942","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2108.02942"}},"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/erinaldi/bmn2-lattice","reach":{"status":"ok"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/erinaldi/mm-qc-dl-supplemental","reach":{"status":"ok"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/erinaldi/bmn2-qiskit","reach":null},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/erinaldi/bmn2-qutip","reach":null},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/hanxzh94/minimal_BMN_MQM","reach":{"status":"ok"}}],"summary":{"ran_draft_wrong":6,"unverified":5},"by_repo_kind":{"official":{"samples":5,"ran":0,"repositories":1},"listed":{"samples":6,"ran":6,"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":5,"samples":[{"code_sha256_prefix":"2610fe0da1d3c2b4","entry":"bmn2_hamiltonian","repo":"erinaldi/bmn2-qiskit","repo_kind":"listed","path":"scripts/01_bmn2_bosonic_VQE.py","file_url":"https://github.com/erinaldi/bmn2-qiskit/blob/HEAD/scripts/01_bmn2_bosonic_VQE.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"2610fe0da1d3c2b4"}},{"code_sha256_prefix":"28f92465d0e5df62","entry":"bmn2_hamiltonian","repo":"erinaldi/bmn2-qiskit","repo_kind":"listed","path":"scripts/02_bmn2_mini_VQE.py","file_url":"https://github.com/erinaldi/bmn2-qiskit/blob/HEAD/scripts/02_bmn2_mini_VQE.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"28f92465d0e5df62"}},{"code_sha256_prefix":"7e189b4bd15b48e0","entry":"build_gauge_casimir","repo":"erinaldi/bmn2-qiskit","repo_kind":"listed","path":"scripts/01_bmn2_bosonic_VQE.py","file_url":"https://github.com/erinaldi/bmn2-qiskit/blob/HEAD/scripts/01_bmn2_bosonic_VQE.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"7e189b4bd15b48e0"}},{"code_sha256_prefix":"ae19d8eddcd104f5","entry":"build_gauge_casimir","repo":"erinaldi/bmn2-qiskit","repo_kind":"listed","path":"scripts/02_bmn2_mini_VQE.py","file_url":"https://github.com/erinaldi/bmn2-qiskit/blob/HEAD/scripts/02_bmn2_mini_VQE.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"ae19d8eddcd104f5"}},{"code_sha256_prefix":"38445dc7ad4ed03d","entry":"build_operators","repo":"erinaldi/bmn2-qiskit","repo_kind":"listed","path":"scripts/01_bmn2_bosonic_VQE.py","file_url":"https://github.com/erinaldi/bmn2-qiskit/blob/HEAD/scripts/01_bmn2_bosonic_VQE.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":true,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"38445dc7ad4ed03d"}},{"code_sha256_prefix":"d16e63779f7206d6","entry":"build_operators","repo":"erinaldi/bmn2-qiskit","repo_kind":"listed","path":"scripts/02_bmn2_mini_VQE.py","file_url":"https://github.com/erinaldi/bmn2-qiskit/blob/HEAD/scripts/02_bmn2_mini_VQE.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":true,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"d16e63779f7206d6"}},{"code_sha256_prefix":"f94b9f5f0dba2d7f","entry":"build_gauge_generators","repo":"erinaldi/bmn2-qutip","repo_kind":"official","path":"scripts/bmn2_bos_su2.py","file_url":"https://github.com/erinaldi/bmn2-qutip/blob/HEAD/scripts/bmn2_bos_su2.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"f94b9f5f0dba2d7f"}},{"code_sha256_prefix":"3c1a19b1ef35c98b","entry":"build_gauge_generators","repo":"erinaldi/bmn2-qutip","repo_kind":"official","path":"scripts/bmn2_su2.py","file_url":"https://github.com/erinaldi/bmn2-qutip/blob/HEAD/scripts/bmn2_su2.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"3c1a19b1ef35c98b"}},{"code_sha256_prefix":"f661614fd9144a6d","entry":"build_operators","repo":"erinaldi/bmn2-qutip","repo_kind":"official","path":"scripts/bmn2_bos_su2.py","file_url":"https://github.com/erinaldi/bmn2-qutip/blob/HEAD/scripts/bmn2_bos_su2.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"f661614fd9144a6d"}},{"code_sha256_prefix":"9ed2ed4b29344148","entry":"build_operators","repo":"erinaldi/bmn2-qutip","repo_kind":"official","path":"scripts/bmn2_su2.py","file_url":"https://github.com/erinaldi/bmn2-qutip/blob/HEAD/scripts/bmn2_su2.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"9ed2ed4b29344148"}},{"code_sha256_prefix":"6829277805e0ebc0","entry":"build_rotation_generators","repo":"erinaldi/bmn2-qutip","repo_kind":"official","path":"scripts/bmn2_su2.py","file_url":"https://github.com/erinaldi/bmn2-qutip/blob/HEAD/scripts/bmn2_su2.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"6829277805e0ebc0"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}