{"id":13786,"date":"2022-08-16T05:28:59","date_gmt":"2022-08-16T12:28:59","guid":{"rendered":"https:\/\/worldcampaign.net\/?p=13786"},"modified":"2022-08-19T05:30:00","modified_gmt":"2022-08-19T12:30:00","slug":"scientists-blast-atoms-with-fibonacci-laser-to-make-an-extra-dimension-of-time-live-science","status":"publish","type":"post","link":"https:\/\/worldcampaign.net\/?p=13786","title":{"rendered":"&#8220;Scientists blast atoms with Fibonacci laser to make an &#8216;extra&#8217; dimension of time&#8221;, Live Science"},"content":{"rendered":"<p>By <span class=\"no-wrap by-author\">Ben Turner, August 16, 2022<\/span><\/p>\n<header>\n<div class=\"byline-social\">\n<p class=\"strapline\"><em>The technique could be used to protect quantum computer data from errors.<\/em><\/p>\n<p class=\"strapline\">By firing a Fibonacci laser pulse at atoms inside a quantum computer, physicists have created a completely new, strange phase of matter that behaves as if it has two dimensions of time.<\/p>\n<p class=\"strapline\"><img decoding=\"async\" class=\" block-image-ads hero-image\" src=\"https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-320-80.jpg\" sizes=\"(min-width: 1000px) 970px, calc(100vw - 40px)\" srcset=\"https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-320-80.jpg 320w, https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-480-80.jpg 480w, https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-650-80.jpg 650w, https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-970-80.jpg 970w, https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-1024-80.jpg 1024w, https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-1200-80.jpg 1200w, https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F-1920-80.jpg 1920w\" alt=\"\" data-original-mos=\"https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F.jpg\" data-pin-media=\"https:\/\/cdn.mos.cms.futurecdn.net\/NnJg9UzuJ726ueezCuuu5F.jpg\" \/><\/p>\n<\/div>\n<\/header>\n<section class=\"content-wrapper\">\n<div class=\"box less-space hero-image-wrapper\"><span class=\"caption-text\">The new phase was made by firing lasers at 10 ytterbium ions inside a quantum computer.<\/span> <span class=\"credit\">(Image credit: Jurik Peter via Shutterstock)<\/span><\/div>\n<div id=\"article-body\" class=\"text-copy bodyCopy auto\">\n<div id=\"ad-unit-1\" class=\"ad-unit\"><\/div>\n<div id=\"bordeaux-static-slot-6\" class=\"bordeaux-slot\" data-feat-ref=\"bordeaux-feat-id-150\">The new phase of <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/46506-states-of-matter.html\" data-component-tracked=\"1\"><u>matter<\/u><\/a>, created by using lasers to rhythmically jiggle a strand of 10 ytterbium ions, enables scientists to store information in a far more error-protected way, thereby opening the path to quantum <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/20718-computer-history.html\" data-component-tracked=\"1\"><u>computers<\/u><\/a> that can hold on to data for a long time without becoming garbled. The researchers outlined their findings in a paper published July 20 in the journal <a class=\"hawk-link-parsed\" href=\"https:\/\/go.redirectingat.com\/?id=92X1590019&amp;xcust=livescience_us_6271941598890358000&amp;xs=1&amp;url=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-04853-4&amp;sref=https%3A%2F%2Fwww.livescience.com%2Ffibonacci-material-with-two-dimensions-of-time\" target=\"_blank\" rel=\"sponsored noopener\" data-url=\"https:\/\/www.nature.com\/articles\/s41586-022-04853-4\" data-hl-processed=\"skimlinks\" data-placeholder-url=\"https:\/\/go.redirectingat.com\/?id=92X1590019&amp;xcust=hawk-custom-tracking&amp;xs=1&amp;url=https%3A%2F%2Fwww.nature.com%2Farticles%2Fs41586-022-04853-4&amp;sref=https%3A%2F%2Fwww.livescience.com%2Ffibonacci-material-with-two-dimensions-of-time\" data-google-interstitial=\"false\" data-merchant-name=\"SkimLinks - nature.com\" data-merchant-id=\"undefined\" data-merchant-url=\"undefined\" data-merchant-network=\"undefined\" data-component-tracked=\"1\" data-custom-tracking-id=\"6271941598890358000\" data-hawk-tracked=\"hawklinks\" data-label=\"Nature\"><u>Nature<\/u><\/a><span class=\"sr-only\">(opens in new tab)<\/span>.<\/div>\n<aside class=\"hawk-nest hawk-processed\" data-render-type=\"fte\" data-skip=\"dealsy\" data-widget-type=\"seasonal\" data-widget-id=\"4a78c7a1-1f71-462e-a29e-a8fc6c44913b\" data-result=\"missing\" data-feat-ref=\"hawk-id-2\"><\/aside>\n<div class=\"bordeaux-slot\" data-feat-ref=\"bordeaux-feat-id-151\"><\/div>\n<div id=\"bordeaux-static-slot-7\" class=\"bordeaux-slot\" data-feat-ref=\"bordeaux-feat-id-151\">The inclusion of a theoretical &#8220;extra&#8221; time dimension &#8220;is a completely different way of thinking about phases of matter,&#8221; lead author Philipp Dumitrescu, a researcher at the Flatiron Institute&#8217;s Center for Computational Quantum Physics in New York City, <a class=\"hawk-link-parsed\" href=\"https:\/\/www.simonsfoundation.org\/2022\/07\/20\/strange-new-phase-of-matter-created-in-quantum-computer-acts-like-it-has-two-time-dimensions\/\" data-url=\"https:\/\/www.simonsfoundation.org\/2022\/07\/20\/strange-new-phase-of-matter-created-in-quantum-computer-acts-like-it-has-two-time-dimensions\/\" data-component-tracked=\"1\"><u>said in a statement<\/u><\/a>. &#8220;I&#8217;ve been working on these <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/21491-what-is-a-scientific-theory-definition-of-theory.html\" data-component-tracked=\"1\"><u>theory<\/u><\/a> ideas for over five years, and seeing them come actually to be realized in experiments is exciting.&#8221;<\/div>\n<\/div>\n<\/section>\n<p>Related: <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/google-invents-time-crystal\" data-component-tracked=\"1\"><u>Otherworldly &#8216;time crystal&#8217; made inside Google quantum computer could change physics forever<\/u><\/a><\/p>\n<div id=\"article-body\" class=\"text-copy bodyCopy auto\">\n<p>The physicists didn&#8217;t set out to create a phase with a theoretical extra time dimension, nor were they looking for a method to enable better quantum data storage. Instead, they were interested in creating a new phase of matter \u2014 a new form in which matter can exist, beyond the standard solid, liquid, <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/53304-gases.html\" data-component-tracked=\"1\"><u>gas<\/u><\/a>, plasma.<\/p>\n<p>They set about building the new phase in the quantum computer company Quantinuum&#8217;s H1 quantum processor, which consists of 10 ytterbium ions in a vacuum chamber that are precisely controlled by lasers in a device known as an ion trap.<\/p>\n<p>Ordinary computers use bits, or 0s and 1s, to form the basis of all calculations. Quantum computers are designed to use qubits, which can also exist in a state of 0 or 1. But that&#8217;s just about where the similarities end. Thanks to the bizarre laws of the quantum world, qubits can exist in a combination, or superposition, of both the 0 and 1 states until the moment they are measured, upon which they randomly collapse into either a 0 or a 1.<\/p>\n<p>This strange behavior is the key to the power of quantum computing, as it allows qubits to link together through <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/what-is-quantum-entanglement.html\" data-component-tracked=\"1\"><u>quantum entanglement<\/u><\/a>, a process that <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/albert-einstein.html\" data-component-tracked=\"1\"><u>Albert Einstein<\/u><\/a> dubbed &#8220;spooky action at a distance.&#8221; Entanglement couples two or more qubits to each other, connecting their properties so that any change in one particle will cause a change in the other, even if they are separated by vast distances. This gives quantum computers the ability to perform multiple calculations simultaneously, exponentially boosting their processing power over that of classical devices.<\/p>\n<p>But the development of quantum computers is held back by a big flaw: Qubits don&#8217;t just interact and get entangled with each other; because they cannot be perfectly isolated from the environment outside the quantum computer, they also interact with the outside environment, thus causing them to lose their quantum properties, and the information they carry, in a process called decoherence.<\/p>\n<p>&#8220;Even if you keep all the <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/37206-atom-definition.html\" data-component-tracked=\"1\"><u>atoms<\/u><\/a> under tight control, they can lose their &#8216;quantumness&#8217; by talking to their environment, heating up or interacting with things in ways you didn&#8217;t plan,&#8221; Dumitrescu said.<\/p>\n<p>To get around these pesky decoherence effects and create a new, stable phase, the physicists looked to a special set of phases called topological phases. Quantum entanglement doesn&#8217;t just enable quantum devices to encode information across the singular, static positions of qubits, but also to weave them into the dynamic motions and interactions of the entire material \u2014 in the very shape, or topology, of the material&#8217;s entangled states. This creates a &#8220;topological&#8221; qubit that encodes information in the shape formed by multiple parts rather than one part alone, making the phase much less likely to lose its information.<\/p>\n<p>A key hallmark of moving from one phase to another is the breaking of physical symmetries \u2014 the idea that the laws of physics are the same for an object at any point in time or space. As a liquid, the molecules in water follow the same physical laws at every point in space and in every direction. But if you cool water enough so that it transforms into ice, its molecules will pick regular points along a crystal structure, or lattice, to arrange themselves across. Suddenly, the water molecules have preferred points in space to occupy, and they leave the other points empty; the spatial symmetry of the water has been spontaneously broken.<\/p>\n<p>Creating a new topological phase inside a quantum computer also relies on symmetry breaking, but with this new phase, the symmetry is not being broken across space, but time.<\/p>\n<p><strong>Related: <\/strong><a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/three-node-quantum-network.html\" data-component-tracked=\"1\"><u><strong>World&#8217;s 1st multinode quantum network is a breakthrough for the quantum internet<\/strong><\/u><\/a><\/p>\n<p>By giving each ion in the chain a periodic jolt with the lasers, the physicists wanted to break the continuous time symmetry of the ions at rest and impose their own time symmetry \u2014 where the qubits remain the same across certain intervals in time \u2014 that would create a rhythmic topological phase across the material.<\/p>\n<p>But the experiment failed. Instead of inducing a topological phase that was immune to decoherence effects, the regular laser pulses amplified the noise from outside the system, destroying it less than 1.5 seconds after it was switched on.<\/p>\n<p>After reconsidering the experiment, the researchers realized that to create a more robust topological phase, they would need to knot more than one time symmetry into the ion strand to decrease the odds of the system getting scrambled. To do this, they settled on finding a pulse pattern that did not repeat simply and regularly but nonetheless showed some kind of higher symmetry across time.<\/p>\n<p>This led them to the <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/37470-fibonacci-sequence.html\" data-component-tracked=\"1\"><u>Fibonacci sequence<\/u><\/a>, in which the next number of the sequence is created by adding the previous two. Whereas a simple periodic laser pulse might just alternate between two laser sources (A, B, A, B, A, B, and so on), their new pulse train instead ran by combining the two pulses that came before (A, AB, ABA, ABAAB, ABAABABA, etc.).<\/p>\n<p>This Fibonacci pulsing created a time symmetry that, just like a quasicrystal in space, was ordered without ever repeating. And just like a quasicrystal, the Fibonacci pulses also squish a higher dimensional pattern onto a lower dimensional surface. In the case of a spatial quasicrystal such as Penrose tiling, a slice of a five-dimensional lattice is projected onto a two-dimensional surface. When looking at the Fibonacci pulse pattern, we see two theoretical time symmetries get flattened into a single physical one.<\/p>\n<figure class=\"van-image-figure inline-layout\" data-bordeaux-image-check=\"\">\n<div class=\"image-full-width-wrapper\">\n<div class=\"image-widthsetter\">\n<p class=\"vanilla-image-block\"><picture><source class=\" lazy-image-van\" srcset=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-320-80.jpg.webp 320w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-480-80.jpg.webp 480w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-650-80.jpg.webp 650w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-970-80.jpg.webp 970w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1024-80.jpg.webp 1024w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1200-80.jpg.webp 1200w\" type=\"image\/webp\" sizes=\"(min-width: 1000px) 970px, calc(100vw - 40px)\" data-normal=\"https:\/\/vanilla.futurecdn.net\/livescience\/media\/img\/missing-image.svg\" data-srcset=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-320-80.jpg.webp 320w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-480-80.jpg.webp 480w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-650-80.jpg.webp 650w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-970-80.jpg.webp 970w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1024-80.jpg.webp 1024w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1200-80.jpg.webp 1200w\" data-sizes=\"(min-width: 1000px) 970px, calc(100vw - 40px)\" data-original-mos=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL.jpg\" data-pin-media=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL.jpg\" \/><source class=\" lazy-image-van\" srcset=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-320-80.jpg 320w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-480-80.jpg 480w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-650-80.jpg 650w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-970-80.jpg 970w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1024-80.jpg 1024w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1200-80.jpg 1200w\" type=\"image\/jpeg\" sizes=\"(min-width: 1000px) 970px, calc(100vw - 40px)\" data-normal=\"https:\/\/vanilla.futurecdn.net\/livescience\/media\/img\/missing-image.svg\" data-srcset=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-320-80.jpg 320w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-480-80.jpg 480w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-650-80.jpg 650w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-970-80.jpg 970w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1024-80.jpg 1024w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1200-80.jpg 1200w\" data-sizes=\"(min-width: 1000px) 970px, calc(100vw - 40px)\" data-original-mos=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL.jpg\" data-pin-media=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL.jpg\" \/><img decoding=\"async\" class=\"lazy-image-van loaded\" src=\"https:\/\/vanilla.futurecdn.net\/livescience\/media\/img\/missing-image.svg\" sizes=\"(min-width: 1000px) 970px, calc(100vw - 40px)\" srcset=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-320-80.jpg 320w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-480-80.jpg 480w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-650-80.jpg 650w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-970-80.jpg 970w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1024-80.jpg 1024w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1200-80.jpg 1200w\" alt=\"An example of penrose tiling\" data-normal=\"https:\/\/vanilla.futurecdn.net\/livescience\/media\/img\/missing-image.svg\" data-srcset=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-320-80.jpg 320w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-480-80.jpg 480w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-650-80.jpg 650w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-970-80.jpg 970w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1024-80.jpg 1024w, https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL-1200-80.jpg 1200w\" data-sizes=\"(min-width: 1000px) 970px, calc(100vw - 40px)\" data-original-mos=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL.jpg\" data-pin-media=\"https:\/\/cdn.mos.cms.futurecdn.net\/DZRWsUejxuex86aMqaunjL.jpg\" data-ll-status=\"loaded\" \/><\/picture><\/p>\n<\/div>\n<\/div><figcaption class=\" inline-layout\"><span class=\"caption-text\">An example of penrose tiling <\/span><span class=\"credit\">(Image credit: Shutterstock)<\/span><\/figcaption><\/figure>\n<div id=\"bordeaux-static-slot-29\" class=\"bordeaux-slot\" data-feat-ref=\"bordeaux-feat-id-173\"><\/div>\n<div class=\"fancy-box\">\n<div class=\"fancy_box-title\">RELATED STORIES<\/div>\n<div class=\"fancy_box_body\">\n<p>\u2014<a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/most-important-surprising-quantum-physics-of-2019.html\" data-component-tracked=\"1\">12 stunning quantum physics experiments<\/a><\/p>\n<p>\u2014<a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/34052-unsolved-mysteries-physics.html\" data-component-tracked=\"1\">The 18 biggest unsolved mysteries in physics<\/a><\/p>\n<p>\u2014 <a class=\"hawk-link-parsed\" href=\"https:\/\/www.livescience.com\/first-2d-supersolid.html\" data-component-tracked=\"1\">Physicists give weird new phase of matter an extra dimension<\/a><\/p>\n<\/div>\n<\/div>\n<p>&#8220;The system essentially gets a bonus symmetry from a nonexistent extra time dimension,&#8221; the researchers wrote in the statement. The system appears as a material that exists in some higher dimension with two dimensions of time \u2014 even if this may be physically impossible in reality.<\/p>\n<p>When the team tested it, the new quasiperiodic Fibonacci pulse created a topographic phase that protected the system from data loss across the entire 5.5 seconds of the test. Indeed, they had created a phase that was immune to decoherence for much longer than others.<\/p>\n<p>&#8220;With this quasi-periodic sequence, there&#8217;s a complicated evolution that cancels out all the errors that live on the edge,&#8221; Dumitrescu said. &#8220;Because of that, the edge stays quantum-mechanically coherent much, much longer than you&#8217;d expect.&#8221;<\/p>\n<p>Although the physicists achieved their aim, one hurdle remains to making their phase a useful tool for quantum programmers: integrating it with the computational side of quantum computing so that it can be input with calculations.<\/p>\n<p>&#8220;We have this direct, tantalizing application, but we need to find a way to hook it into the calculations,&#8221; Dumitrescu said. &#8220;That&#8217;s an open problem we&#8217;re working on.&#8221;<\/p>\n<div id=\"bordeaux-static-slot-28\" class=\"bordeaux-slot bordeaux-filled-slot\" data-feat-ref=\"bordeaux-feat-id-172\"><\/div>\n<\/div>\n<div class=\"author-block author-block-with-borders\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>By Ben Turner, August 16, 2022 The technique could be used to protect quantum computer data from errors. By firing a Fibonacci laser pulse at atoms inside a quantum computer, physicists have created a completely new, strange phase of matter that behaves as if it has two dimensions of time. The new phase was made [&hellip;]<\/p>\n","protected":false},"author":1001004,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[53],"tags":[],"_links":{"self":[{"href":"https:\/\/worldcampaign.net\/index.php?rest_route=\/wp\/v2\/posts\/13786"}],"collection":[{"href":"https:\/\/worldcampaign.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/worldcampaign.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/worldcampaign.net\/index.php?rest_route=\/wp\/v2\/users\/1001004"}],"replies":[{"embeddable":true,"href":"https:\/\/worldcampaign.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=13786"}],"version-history":[{"count":2,"href":"https:\/\/worldcampaign.net\/index.php?rest_route=\/wp\/v2\/posts\/13786\/revisions"}],"predecessor-version":[{"id":13788,"href":"https:\/\/worldcampaign.net\/index.php?rest_route=\/wp\/v2\/posts\/13786\/revisions\/13788"}],"wp:attachment":[{"href":"https:\/\/worldcampaign.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13786"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/worldcampaign.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13786"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/worldcampaign.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13786"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}