{"id":218260,"date":"2025-07-19T02:04:03","date_gmt":"2025-07-19T07:04:03","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/07\/hunting-for-quantum-classical-crossover-in-condensed-matter-problems"},"modified":"2025-07-19T02:04:03","modified_gmt":"2025-07-19T07:04:03","slug":"hunting-for-quantum-classical-crossover-in-condensed-matter-problems","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/07\/hunting-for-quantum-classical-crossover-in-condensed-matter-problems","title":{"rendered":"Hunting for quantum-classical crossover in condensed matter problems"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/hunting-for-quantum-classical-crossover-in-condensed-matter-problems.jpg\"><\/a><\/p>\n<p>The intensive pursuit for quantum advantage in terms of computational complexity has further led to a modernized crucial question of when and how will quantum computers outperform classical computers. The next milestone is undoubtedly the realization of quantum acceleration in practical problems. Here we provide a clear evidence and arguments that the primary target is likely to be condensed matter physics. Our primary contributions are summarized as follows: 1) Proposal of systematic error\/runtime analysis on state-of-the-art classical algorithm based on tensor networks; 2) Dedicated and high-resolution analysis on quantum resource performed at the level of executable logical instructions; 3) Clarification of quantum-classical crosspoint for ground-state simulation to be within runtime of hours using only a few hundreds of thousand physical qubits for 2d Heisenberg and 2d <i>Fermi-Hubbard model<\/i>s, assuming that logical qubits are encoded via the surface code with the physical error rate of p = 10\u20133. To our knowledge, we argue that condensed matter problems offer the earliest platform for demonstration of practical quantum advantage that is order-of-magnitude more feasible than ever known candidates, in terms of both qubit counts and total runtime.<\/p>\n<hr>\n<p>Yoshioka, N., Okubo, T., Suzuki, Y. <i>et al.<\/i> Hunting for quantum-classical crossover in condensed matter problems. <i>npj <i>Quantum<\/i> Inf<\/i> <b>10<\/b>, 45 (2024). <a href=\"https:\/\/doi.org\/10.1038\/s41534-024-00839-4\">https:\/\/doi.org\/10.1038\/s41534-024-00839-4<\/a><\/p>\n<p><a data-test=\"citation-link\" data-track=\"click\" data-track-action=\"download article citation\" data-track-label=\"link\" data-track-external=\"\" rel=\"nofollow\" href=\"https:\/\/citation-needed.springer.com\/v2\/references\/10.1038\/s41534-024-00839-4?format=refman&flavour=citation\">Download citation<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The intensive pursuit for quantum advantage in terms of computational complexity has further led to a modernized crucial question of when and how will quantum computers outperform classical computers. The next milestone is undoubtedly the realization of quantum acceleration in practical problems. Here we provide a clear evidence and arguments that the primary target is [\u2026]<\/p>\n","protected":false},"author":534,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1523,41,1617],"tags":[],"class_list":["post-218260","post","type-post","status-publish","format-standard","hentry","category-computing","category-information-science","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/218260","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/534"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=218260"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/218260\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=218260"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=218260"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=218260"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}