{"id":127482,"date":"2021-09-09T22:24:39","date_gmt":"2021-09-10T05:24:39","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2021\/09\/solving-quantum-ground-state-problems-with-nuclear-magnetic-resonance"},"modified":"2021-09-09T22:24:39","modified_gmt":"2021-09-10T05:24:39","slug":"solving-quantum-ground-state-problems-with-nuclear-magnetic-resonance","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2021\/09\/solving-quantum-ground-state-problems-with-nuclear-magnetic-resonance","title":{"rendered":"Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/solving-quantum-ground-state-problems-with-nuclear-magnetic-resonance.jpg\"><\/a><\/p>\n<p>Circa 2012<\/p>\n<hr>\n<p>Quantum ground-state problems are computationally hard problems for general many-body Hamiltonians; there is no classical or quantum algorithm known to be able to solve them efficiently. Nevertheless, if a trial wavefunction approximating the ground state is available, as often happens for many problems in physics and chemistry, a quantum computer could employ this trial wavefunction to project the ground state by means of the phase estimation algorithm (PEA). We performed an experimental realization of this idea by implementing a variational-wavefunction approach to solve the ground-state problem of the Heisenberg spin model with an NMR quantum simulator. Our iterative phase estimation procedure yields a high accuracy for the eigenenergies (to the 10\u20135 decimal digit).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Circa 2012 Quantum ground-state problems are computationally hard problems for general many-body Hamiltonians; there is no classical or quantum algorithm known to be able to solve them efficiently. Nevertheless, if a trial wavefunction approximating the ground state is available, as often happens for many problems in physics and chemistry, a quantum computer could employ this [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19,1523,41,1617],"tags":[],"class_list":["post-127482","post","type-post","status-publish","format-standard","hentry","category-chemistry","category-computing","category-information-science","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/127482","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=127482"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/127482\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=127482"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=127482"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=127482"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}