{"id":1273,"date":"2025-01-15T09:52:51","date_gmt":"2025-01-15T08:52:51","guid":{"rendered":"https:\/\/www.talentq.es\/?post_type=tribe_events&#038;p=1273"},"modified":"2025-01-15T09:52:51","modified_gmt":"2025-01-15T08:52:51","slug":"talentq-seminar-low-density-parity-check-codes-as-stable-phases-of-quantum-matter-andrew-lucas","status":"publish","type":"tribe_events","link":"https:\/\/www.talentq.es\/en\/evento\/talentq-seminar-low-density-parity-check-codes-as-stable-phases-of-quantum-matter-andrew-lucas\/","title":{"rendered":"TalentQ Seminar | Low-density parity-check codes as stable phases of quantum matter &#8211; Andrew Lucas"},"content":{"rendered":"<p><strong>Speaker:<\/strong> Andrew Lucas<\/p>\n<p><strong>Title:<\/strong> Low-density parity-check codes as stable phases of quantum matter<\/p>\n<p><strong>Abstract:<\/strong> <span data-olk-copy-source=\"MessageBody\">Phases of matter with robust ground-state degeneracy, such as the quantum toric code, are known to be capable of robust quantum information storage. Here, we address the converse question: given a quantum error correcting code, when does it define a stable gapped quantum phase of matter, whose ground state degeneracy is robust against perturbations in the thermodynamic limit? An affirmative answer to this question could allow us to leverage techniques from quantum error correction to learn new things about quantum statistical mechanics. We have proved that a low-density parity-check (LDPC) code defines such a phase, robust against all few-body perturbations, if its code distance grows at least logarithmically in the number of degrees of freedom, and it exhibits a property that we call \u00abcheck soundness\u00bb. Many constant-rate quantum LDPC expander codes have such properties, and define stable phases of matter with a constant zero-temperature entropy density, violating the third law of thermodynamics. Our results also show that quantum toric code phases are robust to spatially nonlocal few-body perturbations.\u00a0 I will conclude with potential applications for our ideas in condensed matter physics.<\/span><\/p>\n<p><strong>Registration:<\/strong> <a href=\"https:\/\/events.teams.microsoft.com\/event\/9464c6bd-6894-42be-8276-11b8b5b731a1@8f0d452c-b7a4-4964-b810-8c397374477b\/\">https:\/\/events.teams.microsoft.com\/event\/9464c6bd-6894-42be-8276-11b8b5b731a1@8f0d452c-b7a4-4964-b810-8c397374477b\/<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Speaker: Andrew Lucas Title: Low-density parity-check codes as stable phases of quantum matter Abstract: Phases of matter with robust ground-state degeneracy, such as the quantum toric code, are known to [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":1274,"template":"","meta":{"saved_in_kubio":false,"_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[],"class_list":["post-1273","tribe_events","type-tribe_events","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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