{"id":427633,"date":"2022-04-07T00:22:38","date_gmt":"2022-04-06T21:22:38","guid":{"rendered":"https:\/\/en.buradabiliyorum.com\/a-mathematical-shortcut-for-determining-quantum-information-lifetimes\/"},"modified":"2022-04-07T00:22:38","modified_gmt":"2022-04-06T21:22:38","slug":"a-mathematical-shortcut-for-determining-quantum-information-lifetimes","status":"publish","type":"post","link":"https:\/\/buradabiliyorum.com\/en\/a-mathematical-shortcut-for-determining-quantum-information-lifetimes\/","title":{"rendered":"#A mathematical shortcut for determining quantum information lifetimes"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_84 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-6a2d423244d33\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #dd3333;color:#dd3333\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #dd3333;color:#dd3333\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-6a2d423244d33\" checked aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/buradabiliyorum.com\/en\/a-mathematical-shortcut-for-determining-quantum-information-lifetimes\/#%E2%80%9CA_mathematical_shortcut_for_determining_quantum_information_lifetimes%E2%80%9D\" >&#8220;A mathematical shortcut for determining quantum information lifetimes&#8221;<\/a><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E2%80%9CA_mathematical_shortcut_for_determining_quantum_information_lifetimes%E2%80%9D\"><\/span>&#8220;A mathematical shortcut for determining quantum information lifetimes&#8221;<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<div>\n<div class=\"article-gallery lightGallery\">\n<div data-thumb=\"https:\/\/scx1.b-cdn.net\/csz\/news\/tmb\/2022\/a-mathematical-shortcu.jpg\" data-src=\"https:\/\/scx2.b-cdn.net\/gfx\/news\/hires\/2022\/a-mathematical-shortcu.jpg\" data-sub-html=\"Quantum spin coherence simulation. (A) Schematic of CCE-2 of a defect electron spin in a heteronuclear compound. Arrows indicate nuclear (red and green) and electron (skyblue) spins with finite quantum numbers. (B) Hahn echo signal L(t&lt;sub&gt;free&lt;\/sub&gt;) versus free evolution time t&lt;sub&gt;free &lt;\/sub&gt;calculated by CCE-2 for naturally abundant isotopic diamond, 4H-SiC, silicon, and several oxides obtained by simulation under external magnetic field B = 5 T. (C) L(t&lt;sub&gt;free&lt;\/sub&gt;) of SiO&lt;sub&gt;2&lt;\/sub&gt; (\u03b1-quartz) with B = 300 mT. In addition to the L(t&lt;sub&gt;free&lt;\/sub&gt;) with dipole\u2013dipole interactions with all baths (black), that with solely homonuclear spin bath (orange) and heteronuclear spins (blue) are shown. Error bars indicate the sample SD of the Hahn echo signal for different instances of nuclear spin coordinates. Credit: &lt;i&gt;Proceedings of the National Academy of Sciences&lt;\/i&gt; (2022). DOI: 10.1073\/pnas.2121808119\">\n<figure class=\"article-img\">\n            <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/scx1.b-cdn.net\/csz\/news\/800a\/2022\/a-mathematical-shortcu.jpg\" alt=\"A mathematical shortcut for determining quantum information lifetimes\" title=\"Quantum spin coherence simulation. (A) Schematic of CCE-2 of a defect electron spin in a heteronuclear compound. Arrows indicate nuclear (red and green) and electron (skyblue) spins with finite quantum numbers. (B) Hahn echo signal L(t&lt;sub&gt;free&lt;\/sub&gt;) versus free evolution time t&lt;sub&gt;free &lt;\/sub&gt;calculated by CCE-2 for naturally abundant isotopic diamond, 4H-SiC, silicon, and several oxides obtained by simulation under external magnetic field B = 5 T. (C) L(t&lt;sub&gt;free&lt;\/sub&gt;) of SiO&lt;sub&gt;2&lt;\/sub&gt; (\u03b1-quartz) with B = 300 mT. In addition to the L(t&lt;sub&gt;free&lt;\/sub&gt;) with dipole\u2013dipole interactions with all baths (black), that with solely homonuclear spin bath (orange) and heteronuclear spins (blue) are shown. Error bars indicate the sample SD of the Hahn echo signal for different instances of nuclear spin coordinates. Credit: &lt;i&gt;Proceedings of the National Academy of Sciences&lt;\/i&gt; (2022). DOI: 10.1073\/pnas.2121808119\" width=\"800\" height=\"434\"\/><figcaption class=\"text-darken text-low-up text-truncate-js text-truncate mt-3\">\n                Quantum spin coherence simulation. (A) Schematic of CCE-2 of a defect electron spin in a heteronuclear compound. Arrows indicate nuclear (red and green) and electron (skyblue) spins with finite quantum numbers. (B) Hahn echo signal L(t<sub>free<\/sub>) versus free evolution time t<sub>free <\/sub>calculated by CCE-2 for naturally abundant isotopic diamond, 4H-SiC, silicon, and several oxides obtained by simulation under external magnetic field B = 5 T. (C) L(t<sub>free<\/sub>) of SiO<sub>2<\/sub> (\u03b1-quartz) with B = 300 mT. In addition to the L(t<sub>free<\/sub>) with dipole\u2013dipole interactions with all baths (black), that with solely homonuclear spin bath (orange) and heteronuclear spins (blue) are shown. Error bars indicate the sample SD of the Hahn echo signal for different instances of nuclear spin coordinates. Credit: <i>Proceedings of the National Academy of <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/sciencee\/\" data-internallinksmanager029f6b8e52c=\"5\" title=\"Science\" target=\"_blank\" rel=\"noopener\">Science<\/a>s<\/i> (2022). DOI: 10.1073\/pnas.2121808119<br \/>\n            <\/figcaption><\/figure>\n<\/p><\/div>\n<\/div>\n<p>A new, elegant equation allows scientists to easily compute the quantum information lifetime of 12,000 different materials.<\/p>\n<section class=\"article-banner first-banner ads-336x280\">\n         <!-- \/4988204\/Phys_Story_InText_Box --><\/p>\n<\/section>\n<p>Scientists have uncovered a mathematical shortcut for calculating an all-important feature of quantum devices.<\/p>\n<p>Having crunched the numbers on the quantum properties of 12,000 elements and compounds, researchers have published a new equation for <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/download-scripts-themes-apps\/\" data-internallinksmanager029f6b8e52c=\"9\" title=\"Download Scripts &amp; Themes &amp; Apps\" target=\"_blank\" rel=\"noopener\">app<\/a>roximating the length of time the materials can maintain quantum information, called &#8220;coherence time.&#8221;<\/p>\n<p>&#8220;People have had to rely on complicated codes and calculations to predict spin qubit coherence times. But now people can compute the prediction by themselves instantaneously. This opens opportunities for researchers to find the next generation of qubit materials by themselves,&#8221; said study co-author Shun Kanai of Tohoku University.<\/p>\n<p>The elegant formula allows scientists to estimate the materials&#8217; coherence times in an instant\u2014versus the hours or weeks it would take to calculate an exact value.<\/p>\n<p>The team, comprising scientists at the U.S. Department of Energy&#8217;s (DOE) Argonne National Laboratory, the University of Chicago, Tohoku University in Japan and Ajou University in Korea, published their result in April in the<i> Proceedings of the National Academy of Sciences.<\/i><\/p>\n<p>The team&#8217;s equation applies to a particular class of materials\u2014those that can be used in devices called spin qubits. <\/p>\n<p>&#8220;People have had to rely on complicated codes and calculations to predict spin qubit coherence times. But now people can compute the prediction by themselves instantaneously,&#8221; said Kanai. &#8220;This opens opportunities for researchers to find the next generation of qubit materials by themselves.&#8221; <\/p>\n<p>Qubits are the fundamental unit of quantum information, the quantum version of classical computer bits. They come in different forms and varieties, including a type called the spin qubit. A spin qubit stores data in a material&#8217;s spin\u2014a quantum property inherent in all atomic and subatomic matter, such as electrons, atoms and groups of atoms. <\/p>\n<p>Scientists expect that quantum technologies will be able to help improve our everyday lives. We may be able to send information over quantum communication networks that are impenetrable to hackers, or we could use quantum simulations to speed up drug delivery.<\/p>\n<p>The realization of this potential will depend on having qubits that are stable enough\u2014that have long enough coherence times\u2014to store, process and send the information. <\/p>\n<p>While the research team&#8217;s equation gives only a rough prediction of a material&#8217;s coherence time, it gets pretty close to the true value. And what the equation lacks in precision, it makes up for in convenience. It requires only five numbers\u2014the values of five particular properties of the material in question\u2014to get a solution. Plug them in, and voila! You have your coherence time.<\/p>\n<p>Diamond and silicon carbide are currently the best-established materials for hosting spin qubits. Now scientists can explore other candidates without having to spend days calculating whether a material is worth a deeper dive.<\/p>\n<p>&#8220;The equation is like a lens. It tells you, &#8216;Look here, look at this material\u2014it looks promising,'&#8221; said University of Chicago Professor and Argonne senior scientist Giulia Galli, a co-author of the study and Q-NEXT collaborator. &#8220;We are after new qubit platforms, new materials. Identifying mathematical relationships like this one points out new materials to try, to combine.&#8221;<\/p>\n<p>With this equation in hand, the researchers plan to boost the accuracy of their model. <\/p>\n<p>They&#8217;ll also connect with researchers who can create the materials with the most promising coherence times, testing whether they perform as well as the equation predicts. (The team has marked one success already: A scientist outside the team reported that the relatively long coherence time of a material called calcium tungstate performed as predicted by the team&#8217;s formula.) <\/p>\n<p>&#8220;Our results help us with advancing current quantum information <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/technology\/\" data-internallinksmanager029f6b8e52c=\"4\" title=\"Technology\" target=\"_blank\" rel=\"noopener\">technology<\/a>, but that&#8217;s not all,&#8221; said Tohoku University Professor Hideo Ohno, who is currently president of the university and paper co-author. &#8220;It will unlock new possibilities by bridging the quantum technology with a variety of conventional systems, allowing us to make even greater progress with the materials we&#8217;re already familiar with. We&#8217;re pushing more than one scientific frontier.&#8221;<\/p>\n<hr\/>\n<div class=\"article-main__explore my-4 d-print-none\">\n<p>                                            A three-qubit entangled state has been realized in a fully controllable array of spin qubits in silicon\n                                        <\/p><\/div>\n<hr class=\"mb-4\"\/>\n<div class=\"article-main__more p-4\">\n                                                                                                <strong>More information:<\/strong><br \/>\n                                                Shun Kanai et al, <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/general\/\" data-internallinksmanager029f6b8e52c=\"3\" title=\"General\" target=\"_blank\" rel=\"noopener\">General<\/a>ized scaling of spin qubit coherence in over 12,000 host materials, <i>Proceedings of the National Academy of Sciences<\/i> (2022).  <a rel=\"nofollow noopener\" target=\"_blank\" data-doi=\"1\" href=\"https:\/\/dx.doi.org\/10.1073\/pnas.2121808119\">DOI: 10.1073\/pnas.2121808119<\/a><\/p><\/div>\n<div class=\"d-inline-block text-medium my-4\">\n                                                Provided by<br \/>\n                                                                                                    Argonne National Laboratory<br \/>\n                                                                                                        <a rel=\"nofollow noopener\" target=\"_blank\" class=\"icon_open\" href=\"http:\/\/www.anl.gov\/index.html\"><br \/>\n                                                        <svg>\n                                                            <use href=\"https:\/\/phys.b-cdn.net\/tmpl\/v6\/img\/svg\/sprite.svg#icon_open\" x=\"0\" y=\"0\"\/>\n                                                        <\/svg><br \/>\n                                                    <\/a><\/p><\/div>\n<p>                                        <!-- print only --><\/p>\n<div class=\"d-none d-print-block\">\n<p>                                                 <strong>Citation<\/strong>:<br \/>\n                                                 A mathematical shortcut for determining quantum information lifetimes (2022, April  6)<br \/>\n                                                 retrieved  6 April 2022<br \/>\n                                                 from https:\/\/phys.org\/<a href=\"https:\/\/buradabiliyorum.com\/en\/category\/news\/\" data-internallinksmanager029f6b8e52c=\"2\" title=\"News\" target=\"_blank\" rel=\"noopener\">news<\/a>\/2022-04-mathematical-shortcut-quantum-lifetimes.html<\/p>\n<p>                                            This document is subject to copyright. Apart from any fair dealing for the purpose of private study or research, no<br \/>\n                                            part may be reproduced without the written permission. The content is provided for information purposes only.<\/p><\/div>\n<\/p><\/div>\n<p><script id=\"facebook-jssdk\" async=\"\" src=\"https:\/\/connect.facebook.net\/en_US\/sdk.js\"><\/script><\/p>\n<blockquote><p><strong><span style=\"color: #ff6600;\">If you liked the article, do not forget to share it with your friends. 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(A) Schematic of CCE-2 of a defect electron spin in a heteronuclear compound. Arrows indicate nuclear (red and green) and electron (skyblue) spins with finite quantum numbers. (B) Hahn echo signal L(tfree) versus free evolution time tfree calculated by CCE-2 for naturally abundant&#8230;<\/p>\n","protected":false},"author":1,"featured_media":427634,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/scx2.b-cdn.net\/gfx\/news\/hires\/2022\/a-mathematical-shortcu.jpg","fifu_image_alt":"","footnotes":""},"categories":[16],"tags":[],"class_list":["post-427633","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sciencee"],"_links":{"self":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts\/427633","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/comments?post=427633"}],"version-history":[{"count":0,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts\/427633\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/media\/427634"}],"wp:attachment":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/media?parent=427633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/categories?post=427633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/tags?post=427633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}