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1<link rel="preload" href="https://www.googletagmanager.com/gtag/js?id=G-D7MQ16G0MQ" as="script"/><meta name="next-size-adjust" content=""/><title>Research | Harmoniqs</title><meta name="description" content="The loop is tested where results get published: Fermilab QICK, Stanford, Harvard, Johns Hopkins APL, Carnegie Mellon and Chicago, Infleqtion and NYU, on their hardware, against the field standard."/><link rel="canonical" href="https://www.harmoniqs.ai/research"/><meta property="og:title" content="Research, for researchers, by researchers"/><meta property="og:description" content="The loop is tested where results get published: Fermilab QICK, Stanford, Harvard, Johns Hopkins APL, Carnegie Mellon and Chicago, Infleqtion and NYU, on their hardware, against the field standard."/><meta property="og:url" content="https://www.harmoniqs.ai/research"/><meta name="twitter:card" content="summary_large_image"/><meta name="twitter:title" content="Research, for researchers, by researchers"/><meta name="twitter:description" content="The loop is tested where results get published: Fermilab QICK, Stanford, Harvard, Johns Hopkins APL, Carnegie Mellon and Chicago, Infleqtion and NYU, on their hardware, against the field standard."/><link rel="icon" href="/favicon.ico?favicon.1_5u0zi3kkr1h.ico" sizes="64x64" type="image/x-icon"/><link rel="icon" href="/favicon.svg"/>
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25</head><body class="min-h-full flex flex-col bg-bg text-fg"><div hidden=""><!--$--><!--/$--></div><header class="sticky top-0 z-50 w-full"><div class="flex w-full items-center justify-between px-6 py-4 lg:px-10 lg:py-5"><a aria-label="Harmoniqs home" class="-m-1.5 inline-flex min-h-11 min-w-11 items-center justify-center p-1.5 text-fg" href="/"><svg class="h-8 w-8" viewBox="0 0 449.03 446.26" fill="currentColor" role="img" aria-label="Harmoniqs"><path d="M318.35,366.02h-96.05l26.68-126.27h-54.69l-26.68,126.27h-96.05l60.03-283.34h96.49l-26.23,123.15h54.25l26.24-123.15h96.94l-60.92,283.34Z"></path></svg></a><nav aria-label="Primary" class="hidden items-center gap-1 p-1.5 md:flex rounded-brand border border-fg/15 backdrop-blur-xl bg-bg/70"><a class="rounded-brand px-4 py-2 text-sm font-medium text-fg transition-colors hover:bg-fg/6 " href="/amico">Amico</a><a class="rounded-brand px-4 py-2 text-sm font-medium text-fg transition-colors hover:bg-fg/6 " href="/amicode">Amicode</a><a aria-current="page" class="rounded-brand px-4 py-2 text-sm font-medium text-fg transition-colors hover:bg-fg/6 bg-fg/8" href="/research">Research</a><a class="rounded-brand px-4 py-2 text-sm font-medium text-fg transition-colors hover:bg-fg/6 " href="/team">Team</a><a class="rounded-brand px-4 py-2 text-sm font-medium text-fg transition-colors hover:bg-fg/6 " href="/contact">Contact</a><a href="https://app.harmoniqs.ai/" target="_blank" rel="noopener noreferrer" class="ml-1 inline-flex min-h-11 items-center justify-center rounded-brand px-4 py-2 text-sm font-semibold uppercase tracking-wider transition-colors border border-brand-yellow-border bg-brand-yellow text-on-yellow hover:bg-brand-yellow-hover">Request access</a><button type="button" aria-label="Switch to night mode" class="flex h-11 w-11 items-center justify-center rounded-brand text-fg transition-colors hover:bg-fg/6 "><svg width="18" height="18" viewBox="0 0 18 18" fill="none" aria-hidden="true"><path d="M14.5 10.9A6.1 6.1 0 0 1 7.1 3.5a6.1 6.1 0 1 0 7.4 7.4Z" stroke="currentColor" stroke-width="1.25" stroke-linejoin="round"></path></svg></button></nav><div class="flex items-center gap-1 p-1.5 md:hidden rounded-brand border border-fg/15 backdrop-blur-xl bg-bg/70"><a href="https://app.harmoniqs.ai/" target="_blank" rel="noopener noreferrer" class="inline-flex min-h-11 items-center justify-center rounded-brand px-4 py-2 text-sm font-semibold uppercase tracking-wider transition-colors border border-brand-yellow-border bg-brand-yellow text-on-yellow hover:bg-brand-yellow-hover px-3.5 text-xs">Request access</a><button type="button" aria-label="Switch to night mode" class="flex h-11 w-11 items-center justify-center rounded-brand text-fg transition-colors hover:bg-fg/6 "><svg width="18" height="18" viewBox="0 0 18 18" fill="none" aria-hidden="true"><path d="M14.5 10.9A6.1 6.1 0 0 1 7.1 3.5a6.1 6.1 0 1 0 7.4 7.4Z" stroke="currentColor" stroke-width="1.25" stroke-linejoin="round"></path></svg></button><button type="button" aria-label="Open menu" aria-expanded="false" class="flex h-11 w-11 items-center justify-center rounded-brand text-fg transition-colors hover:bg-fg/6"><svg width="18" height="18" viewBox="0 0 18 18" fill="none" aria-hidden="true"><line x1="2" y1="5" x2="16" y2="5" stroke="currentColor" stroke-width="1.25" stroke-linecap="round"></line><line x1="2" y1="9" x2="16" y2="9" stroke="currentColor" stroke-width="1.25" stroke-linecap="round"></line><line x1="2" y1="13" x2="16" y2="13" stroke="currentColor" stroke-width="1.25" stroke-linecap="round"></line></svg></button></div></div></header><main class="bg-bg"><section id="collaborations" class="scroll-mt-24 bg-bg px-6 pt-24 pb-16 lg:px-10 lg:pt-32 lg:pb-24"><div class="mx-auto max-w-wide"><p class="font-mono text-xs uppercase tracking-widest text-fg-muted" style="opacity:0;filter:blur(12px);transform:translateY(20px)">Research</p><h1 class="mt-4 text-3xl text-fg sm:text-4xl lg:text-5xl" style="opacity:0;filter:blur(12px);transform:translateY(20px)">For researchers,<br/>by researchers.</h1></div><div class="mt-12 flex flex-col"><div class="border-t border-border-default" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><div class="mx-auto grid w-full max-w-wide gap-3 py-8 lg:grid-cols-[minmax(0,1fr)_2.2fr] lg:gap-12 lg:py-10"><h2 class="font-display text-xl font-semibold tracking-tight text-fg lg:text-2xl">Fermilab QICK</h2><div><p class="max-w-2xl text-base leading-relaxed text-fg-muted">Fermilab&#x27;s QICK is open control hardware in 500+ labs worldwide. Our optimization and calibration tools are integrated into QICK to maximize its performance. Real-time, low-latency quantum feedback with a native pulse-level interface.</p><a href="https://news.fnal.gov/2026/06/fermilab-and-harmoniqs-integrate-open-source-tools-to-advance-qubit-control-optimization/" target="_blank" rel="noreferrer noopener" class="mt-2 inline-flex min-h-11 items-center gap-1.5 font-mono text-xs uppercase tracking-widest text-fg-muted transition-opacity hover:opacity-60">Read more <span aria-hidden="true">→</span></a></div></div></div><div class="border-t border-border-default" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><div class="mx-auto grid w-full max-w-wide gap-3 py-8 lg:grid-cols-[minmax(0,1fr)_2.2fr] lg:gap-12 lg:py-10"><h2 class="font-display text-xl font-semibold tracking-tight text-fg lg:text-2xl">Stanford University</h2><div><p class="max-w-2xl text-base leading-relaxed text-fg-muted">Dave Schuster&#x27;s group — now at Stanford — hosted the first hardware demonstration of direct-collocation optimal control, and Piccolo optimizes the c-iSWAP gate in their quantum-addressable router. Ongoing work closes the optimization-to-calibration loop on their bosonic cavity device.</p><a href="https://arxiv.org/abs/2503.04295" target="_blank" rel="noreferrer noopener" class="mt-2 inline-flex min-h-11 items-center gap-1.5 font-mono text-xs uppercase tracking-widest text-fg-muted transition-opacity hover:opacity-60">Read more <span aria-hidden="true">→</span></a></div></div></div><div class="border-t border-border-default" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><div class="mx-auto grid w-full max-w-wide gap-3 py-8 lg:grid-cols-[minmax(0,1fr)_2.2fr] lg:gap-12 lg:py-10"><h2 class="font-display text-xl font-semibold tracking-tight text-fg lg:text-2xl">Johns Hopkins Applied Physics Laboratory</h2><div><p class="max-w-2xl text-base leading-relaxed text-fg-muted">
25Crosstalk-robust gate sets are single-qubit gates optimized with Piccolo to suppress always-on crosstalk during parallel execution. They cut median error 4× on a 127-qubit IBM Eagle processor, with a locality decomposition that keeps the optimization linear in qubit count. Led by Andy Goldschmidt, a Harmoniqs advisor at APL, continuing the UChicago Piccolo research line.</p><a href="https://arxiv.org/abs/2603.15758" target="_blank" rel="noreferrer noopener" class="mt-2 inline-flex min-h-11 items-center gap-1.5 font-mono text-xs uppercase tracking-widest text-fg-muted transition-opacity hover:opacity-60">Read more <span aria-hidden="true">→</span></a></div></div></div><div class="border-t border-border-default" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><div class="mx-auto grid w-full max-w-wide gap-3 py-8 lg:grid-cols-[minmax(0,1fr)_2.2fr] lg:gap-12 lg:py-10"><h2 class="font-display text-xl font-semibold tracking-tight text-fg lg:text-2xl">Harvard University</h2><div><p class="max-w-2xl text-base leading-relaxed text-fg-muted">Universal global-only pulse control for neutral-atom arrays: engineering effective interactions the hardware doesn&#x27;t natively support, including the first realization of effective three-body interactions outside the blockade regime.</p><a href="https://arxiv.org/abs/2508.19075" target="_blank" rel="noreferrer noopener" class="mt-2 inline-flex min-h-11 items-center gap-1.5 font-mono text-xs uppercase tracking-widest text-fg-muted transition-opacity hover:opacity-60">Read more <span aria-hidden="true">→</span></a></div></div></div><div class="border-t border-border-default" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><div class="mx-auto grid w-full max-w-wide gap-3 py-8 lg:grid-cols-[minmax(0,1fr)_2.2fr] lg:gap-12 lg:py-10"><h2 class="font-display text-xl font-semibold tracking-tight text-fg lg:text-2xl">Carnegie Mellon &amp; University of Chicago</h2><div><p class="max-w-2xl text-base leading-relaxed text-fg-muted">First hardware demonstration of direct-collocation quantum optimal control, outperforming GRAPE on standard benchmarks. IEEE Quantum Computing and Engineering QTEM Best Paper, 2nd Place (2023).</p><a href="https://arxiv.org/pdf/2305.03261" target="_blank" rel="noreferrer noopener" class="mt-2 inline-flex min-h-11 items-center gap-1.5 font-mono text-xs uppercase tracking-widest text-fg-muted transition-opacity hover:opacity-60">Read more <span aria-hidden="true">→</span></a></div></div></div><div class="border-t border-border-default" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><div class="mx-auto grid w-full max-w-wide gap-3 py-8 lg:grid-cols-[minmax(0,1fr)_2.2fr] lg:gap-12 lg:py-10"><h2 class="font-display text-xl font-semibold tracking-tight text-fg lg:text-2xl">Infleqtion</h2><div><p class="max-w-2xl text-base leading-relaxed text-fg-muted">Optimal-control approaches to quantum sensing, programming an optical lattice interferometer with direct-collocation methods for improved speed and sensitivity beyond standard protocols.</p><a href="https://arxiv.org/abs/2411.03566" target="_blank" rel="noreferrer noopener" class="mt-2 inline-flex min-h-11 items-center gap-1.5 font-mono text-xs uppercase tracking-widest text-fg-muted transition-opacity hover:opacity-60">Read more <span aria-hidden="true">→</span></a></div></div></div><div class="border-t border-border-default" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><div class="mx-auto grid w-full max-w-wide gap-3 py-8 lg:grid-cols-[minmax(0,1fr)_2.2fr] lg:gap-12 lg:py-10"><h2 class="font-display text-xl font-semibold tracking-tight text-fg lg:text-2xl">NYU</h2><div><p class="max-w-2xl text-base leading-relaxed text-fg-muted">Novel bosonic operations for quantum error correction: new classes of error-corrected quantum computation enabled by direct-collocation pulse synthesis on superconducting cavity systems.</p><span class="mt-3 inline-flex items-center font-mono text-xs uppercase tracking-widest text-fg-muted">In progress</span></div></div></div></div></section></main><footer class="border-t border-border-default bg-bg text-fg"><div class="w-full px-6 py-12 lg:px-10 lg:py-16"><div class="mx-auto max-w-wide space-y-8" style="opacity:0;filter:blur(12px);transform:translateY(20px)"><svg class="h-7 w-auto text-fg" viewBox="0 0 426.42 94.66" fill="currentColor" role="img" aria-label="Harmoniqs"><path d="M5.04,69.09V10.91h12.26v24.01h24.89V10.91h12.23v58.18h-12.23v-24.03h-24.89v24.03H5.04Z"></path><path d="M76.7,69.92c-2.77,0-5.25-.49-7.42-1.46-2.17-.97-3.88-2.42-5.14-4.35-1.26-1.92-1.88-4.32-1.88-7.2,0-2.42.44-4.46,1.33-6.11.89-1.65,2.1-2.97,3.62-3.98,1.53-1,3.27-1.76,5.22-2.27,1.95-.51,4.01-.87,6.16-1.08,2.53-.26,4.57-.52,6.12-.75,1.55-.24,2.67-.59,3.37-1.07.7-.47,1.05-1.17,1.05-2.1v-.17c0-1.8-.56-3.19-1.68-4.18-1.12-.99-2.71-1.48-4.77-1.48-2.17,0-3.9.48-5.18,1.43-1.28.96-2.13,2.15-2.55,3.59l-11.16-.91c.57-2.65,1.68-4.95,3.34-6.89,1.66-1.94,3.81-3.44,6.44-4.49s5.69-1.58,9.16-1.58c2.42,0,4.73.28,6.95.85,2.22.57,4.19,1.45,5.92,2.64,1.73,1.19,3.09,2.72,4.09,4.59,1,1.87,1.5,4.1,1.5,6.69v29.43h-11.44v-6.05h-.34c-.7,1.36-1.63,2.56-2.8,3.59-1.17,1.03-2.58,1.84-4.22,2.41-1.64.58-3.54.87-5.69.87ZM80.15,61.56c1.77,0,3.34-.36,4.7-1.07,1.36-.71,2.42-1.67,3.2-2.88.77-1.21,1.16-2.58,1.16-4.12v-4.63c-.38.25-.89.47-1.54.67s-1.38.38-2.19.54-1.62.3-2.43.43-1.55.23-2.21.33c-1.42.21-2.65.54-3.71.99-1.06.45-1.88,1.07-2.46,1.83-.58.77-.88,1.72-.88,2.86,0,1.65.6,2.9,1.8,3.76,1.2.86,2.72,1.29,4.57,1.29Z"></path><path d="M110.56,69.09V25.45h11.69v7.61h.45c.79-2.71,2.12-4.76,3.99-6.15,1.87-1.39,4.02-2.09,6.45-2.09.6,0,1.26.04,1.95.11.7.08,1.31.18,1.84.31v10.74c-.57-.17-1.35-.32-2.35-.45-1-.13-1.92-.2-2.75-.2-1.77,0-3.36.38-4.74,1.15-1.39.77-2.48,1.83-3.28,3.2-.8,1.36-1.2,2.94-1.2,4.72v24.69h-12.06Z"></path><path d="M143.14,69.09V25.45h11.5v7.7h.51c.91-2.56,2.42-4.57,4.53-6.05,2.11-1.48,4.64-2.22,7.59-2.22s5.52.74,7.62,2.23c2.09,1.49,3.49,3.5,4.19,6.04h.45c.89-2.5,2.5-4.5,4.83-6.01,2.33-1.51,5.09-2.26,8.28-2.26,4.06,0,7.36,1.29,9.9,3.88,2.54,2.59,3.81,6.25,3.81,10.98v29.35h-12.03v-26.96c0-2.42-.64-4.24-1.93-5.46-1.28-1.21-2.89-1.82-4.81-1.82-2.19,0-3.9.7-5.12,2.09-1.23,1.39-1.84,3.22-1.84,5.5v26.65h-11.69v-27.22c0-2.14-.61-3.84-1.83-5.11-1.22-1.27-2.82-1.9-4.8-1.9-1.34,0-2.54.34-3.61,1.01-1.07.67-1.91,1.61-2.53,2.81-.62,1.2-.93,2.61-.93,4.22v26.19h-12.06Z"></path><path d="M235.49,69.94c-4.4,0-8.2-.94-11.4-2.83-3.2-1.88-5.67-4.52-7.4-7.9s-2.6-7.31-2.6-11.78.87-8.45,2.6-11.83c1.74-3.38,4.2-6.01,7.4-7.9,3.2-1.88,7-2.83,11.4-2.83s8.2.94,11.4,2.83c3.2,1.88,5.67,4.52,7.4,7.9,1.74,3.38,2.6,7.33,2.6,11.83s-.87,8.39-2.6,11.78-4.2,6.01-7.4,7.9
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