{"id":171525,"date":"2023-09-07T13:24:48","date_gmt":"2023-09-07T18:24:48","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2023\/09\/finite-depth-scaling-of-infinite-quantum-circuits-for-quantum-critical-points"},"modified":"2023-09-07T13:24:48","modified_gmt":"2023-09-07T18:24:48","slug":"finite-depth-scaling-of-infinite-quantum-circuits-for-quantum-critical-points","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2023\/09\/finite-depth-scaling-of-infinite-quantum-circuits-for-quantum-critical-points","title":{"rendered":"Finite-depth scaling of infinite quantum circuits for quantum critical points"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/finite-depth-scaling-of-infinite-quantum-circuits-for-quantum-critical-points2.jpg\"><\/a><\/p>\n<p>Year 2022 Infinite quantum computer :3.<\/p>\n<hr>\n<p>The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties of the state, e.g., the central charge of a conformal field theory. With the rapid improvement of noisy intermediate-scale quantum (NISQ) devices, these quantum computers present themselves as a powerful tool to study critical many-body systems. We use finite-depth quantum circuits suitable for NISQ devices as a variational ansatz to represent ground states of critical, infinite systems. We find universal <i>finite-depth scaling<\/i> relations for these circuits and verify them numerically at two different critical points, i.e., the critical Ising model with an additional symmetry-preserving term and the critical XXZ model.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Year 2022 Infinite quantum computer :3. The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties of the state, e.g., the central charge of a conformal field theory. With the rapid improvement of noisy intermediate-scale quantum (NISQ) devices, these quantum computers present themselves as a powerful tool to [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1523,1617],"tags":[],"class_list":["post-171525","post","type-post","status-publish","format-standard","hentry","category-computing","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/171525","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\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=171525"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/171525\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=171525"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=171525"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=171525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}