{"id":164,"date":"2022-09-12T20:06:56","date_gmt":"2022-09-12T20:06:56","guid":{"rendered":"https:\/\/blogschapman.wpenginepowered.com\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/"},"modified":"2022-09-12T20:06:56","modified_gmt":"2022-09-12T20:06:56","slug":"quantum-feedback-thermal-machines","status":"publish","type":"post","link":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/","title":{"rendered":"Quantum Feedback Thermal Machines"},"content":{"rendered":"

\"\"<\/p>\n

Wednesday, 14 September 2022 @ 10 AM in 149 Keck Center, or join us on Zoom.<\/a><\/p>\n

Abstract: We\u00a0will discuss the thermodynamic aspects of a single qubit-based and coupled qubit-based devices, powered by weak quantum measurements, and feedback controlled by a quantum Maxwell’s demon. Single qubit-based device: We will discuss both discrete and time-continuous operation of the measurement-based device at finite temperature of the reservoir. In the discrete example where a demon acquires information via discrete weak measurements, we will show that the thermodynamic variables including the heat exchanged, extractable work, and the entropy produced are completely determined by an information theoretic measure of the demon’s perceived arrow of time. In the time-continuous limit, we will present the exact finite-time statistics of work, heat and entropy changes along individual quantum trajectories of the quantum measurement process and relate them to the demon’s arrow of time. Coupled qubit-based devices: we will study the discrete case for the coupled qubit-based system and study the relation between thermodynamic quantities and the arrow of time. We will also present the case for obtaining feedback based quantum thermal machines when the reservoirs are not detachable. Finally, we will give a brief outline for future directions we are pursuing.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

An IQS Seminar Series Technical Talk by Bibek Bhandari<\/p>\n","protected":false},"author":1652,"featured_media":231,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"custom_author_name":"","chapman_pin_hero_slider":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-164","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"yoast_head":"\nThe Institute for Quantum Studies | Chapman Blogs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantum Feedback Thermal Machines - The Institute for Quantum Studies\" \/>\n<meta property=\"og:description\" content=\"An IQS Seminar Series Technical Talk by Bibek Bhandari\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/\" \/>\n<meta property=\"og:site_name\" content=\"The Institute for Quantum Studies\" \/>\n<meta property=\"article:published_time\" content=\"2022-09-12T20:06:56+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/Chapman3_18Campus-2.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2400\" \/>\n\t<meta property=\"og:image:height\" content=\"1600\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Cristian Bourgeois\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Cristian Bourgeois\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/\"},\"author\":{\"name\":\"Cristian Bourgeois\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#\\\/schema\\\/person\\\/f9b65a17b59dde782a7931ab231eac7f\"},\"headline\":\"Quantum Feedback Thermal Machines\",\"datePublished\":\"2022-09-12T20:06:56+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/\"},\"wordCount\":205,\"publisher\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/wp-content\\\/uploads\\\/sites\\\/87\\\/2026\\\/03\\\/Chapman3_18Campus-2.jpg\",\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/\",\"url\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/\",\"name\":\"Quantum Feedback Thermal Machines - The Institute for Quantum Studies\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/wp-content\\\/uploads\\\/sites\\\/87\\\/2026\\\/03\\\/Chapman3_18Campus-2.jpg\",\"datePublished\":\"2022-09-12T20:06:56+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/#primaryimage\",\"url\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/wp-content\\\/uploads\\\/sites\\\/87\\\/2026\\\/03\\\/Chapman3_18Campus-2.jpg\",\"contentUrl\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/wp-content\\\/uploads\\\/sites\\\/87\\\/2026\\\/03\\\/Chapman3_18Campus-2.jpg\",\"width\":2400,\"height\":1600},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/2022\\\/09\\\/12\\\/quantum-feedback-thermal-machines\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quantum Feedback Thermal Machines\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#website\",\"url\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/\",\"name\":\"The Institute for Quantum Studies\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#organization\",\"name\":\"The Institute for Quantum Studies\",\"url\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/wp-content\\\/uploads\\\/sites\\\/87\\\/2026\\\/03\\\/MasterBrand_000-scaled-1.png\",\"contentUrl\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/wp-content\\\/uploads\\\/sites\\\/87\\\/2026\\\/03\\\/MasterBrand_000-scaled-1.png\",\"width\":2560,\"height\":435,\"caption\":\"The Institute for Quantum Studies\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#\\\/schema\\\/logo\\\/image\\\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/#\\\/schema\\\/person\\\/f9b65a17b59dde782a7931ab231eac7f\",\"name\":\"Cristian Bourgeois\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/599cd14339d2a9bece44a3f91d841b1f81e2a66d144ca6123d597e609de055bb?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/599cd14339d2a9bece44a3f91d841b1f81e2a66d144ca6123d597e609de055bb?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/599cd14339d2a9bece44a3f91d841b1f81e2a66d144ca6123d597e609de055bb?s=96&d=mm&r=g\",\"caption\":\"Cristian Bourgeois\"},\"url\":\"https:\\\/\\\/blogs.chapman.edu\\\/the-institute-for-quantum-studies\\\/author\\\/cbourgeo\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The Institute for Quantum Studies | Chapman Blogs","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/","og_locale":"en_US","og_type":"article","og_title":"Quantum Feedback Thermal Machines - The Institute for Quantum Studies","og_description":"An IQS Seminar Series Technical Talk by Bibek Bhandari","og_url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/","og_site_name":"The Institute for Quantum Studies","article_published_time":"2022-09-12T20:06:56+00:00","og_image":[{"width":2400,"height":1600,"url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/Chapman3_18Campus-2.jpg","type":"image\/jpeg"}],"author":"Cristian Bourgeois","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Cristian Bourgeois","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/#article","isPartOf":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/"},"author":{"name":"Cristian Bourgeois","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#\/schema\/person\/f9b65a17b59dde782a7931ab231eac7f"},"headline":"Quantum Feedback Thermal Machines","datePublished":"2022-09-12T20:06:56+00:00","mainEntityOfPage":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/"},"wordCount":205,"publisher":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#organization"},"image":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/#primaryimage"},"thumbnailUrl":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/Chapman3_18Campus-2.jpg","inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/","url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/","name":"Quantum Feedback Thermal Machines - The Institute for Quantum Studies","isPartOf":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#website"},"primaryImageOfPage":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/#primaryimage"},"image":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/#primaryimage"},"thumbnailUrl":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/Chapman3_18Campus-2.jpg","datePublished":"2022-09-12T20:06:56+00:00","breadcrumb":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/#primaryimage","url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/Chapman3_18Campus-2.jpg","contentUrl":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/Chapman3_18Campus-2.jpg","width":2400,"height":1600},{"@type":"BreadcrumbList","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/2022\/09\/12\/quantum-feedback-thermal-machines\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/"},{"@type":"ListItem","position":2,"name":"Quantum Feedback Thermal Machines"}]},{"@type":"WebSite","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#website","url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/","name":"The Institute for Quantum Studies","description":"","publisher":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#organization","name":"The Institute for Quantum Studies","url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#\/schema\/logo\/image\/","url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/MasterBrand_000-scaled-1.png","contentUrl":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-content\/uploads\/sites\/87\/2026\/03\/MasterBrand_000-scaled-1.png","width":2560,"height":435,"caption":"The Institute for Quantum Studies"},"image":{"@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/#\/schema\/person\/f9b65a17b59dde782a7931ab231eac7f","name":"Cristian Bourgeois","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/599cd14339d2a9bece44a3f91d841b1f81e2a66d144ca6123d597e609de055bb?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/599cd14339d2a9bece44a3f91d841b1f81e2a66d144ca6123d597e609de055bb?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/599cd14339d2a9bece44a3f91d841b1f81e2a66d144ca6123d597e609de055bb?s=96&d=mm&r=g","caption":"Cristian Bourgeois"},"url":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/author\/cbourgeo\/"}]}},"_links":{"self":[{"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/posts\/164","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/users\/1652"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/comments?post=164"}],"version-history":[{"count":0,"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/posts\/164\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/media\/231"}],"wp:attachment":[{"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/media?parent=164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/categories?post=164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.chapman.edu\/the-institute-for-quantum-studies\/wp-json\/wp\/v2\/tags?post=164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}