https://qi.lip6.fr/people/ghazaleh-kharadpoor/Ghazaleh KharadpoorHugo Blox Builder (https://hugoblox.com)en-us© 2022 LIP6 Quantum Information Teamhttps://qi.lip6.fr/people/ghazaleh-kharadpoor/avatar_hu_97e3c2bf697e3ef.jpghttps://qi.lip6.fr/people/ghazaleh-kharadpoor/https://qi.lip6.fr/people/ghazaleh-kharadpoor/Mon, 01 Jan 0001 00:00:00 +0000https://qi.lip6.fr/people/ghazaleh-kharadpoor/<h1 id="ground-state-energy-verification-via-semidefinite-programming">Ground-state energy verification via semidefinite programming</h1> <p>Supervised by Damien Markham and Enky Oudot, I work on certifying ground-state energies of quantum Hamiltonians using a hierarchy of semidefinite programs. The project implements the Navascués–Pironio–Acín (NPA) hierarchy to derive lower bounds on ground-state energies, compares them with variational upper bounds, and investigates how to combine both for tighter, more reliable estimates.</p> <h3 id="about-me">About me</h3> <p>Feel free to call me <strong>Gazelle</strong> — it&rsquo;s an easier-to-pronounce version of my name and carries the same meaning in Persian, my mother tongue. Outside of research, I shoot analog photography, and I&rsquo;m an enthusiastic viewer of cinema and theatre.</p>