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New #quantumcomputing paper published in Communications Physics (Nature Portfolio): "𝐀𝐧 𝐨𝐩𝐭𝐢𝐦𝐢𝐳𝐞𝐝 𝐜𝐨𝐧𝐬𝐭𝐫𝐮𝐜𝐭𝐢𝐨𝐧 𝐨𝐟 𝐥𝐢𝐞 𝐚𝐥𝐠𝐞𝐛𝐫𝐚 𝐠𝐞𝐧𝐞𝐫𝐚𝐭𝐨𝐫 𝐩𝐨𝐨𝐥𝐬 𝐟𝐨𝐫 𝐯𝐚𝐫𝐢𝐚𝐭𝐢𝐨𝐧𝐚𝐥 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐞𝐢𝐠𝐞𝐧𝐬𝐨𝐥𝐯𝐞𝐫𝐬 𝐢𝐧 𝐜𝐡𝐞𝐦𝐢𝐬𝐭𝐫𝐲". nature.com/articles/s42005-0… 🔬 The evolution of quantum states relies on unitary transformations dictated by Lie algebras. Finding a minimal set of generators to construct these algebras, known as a minimal complete pool (MCP), is a central challenge in the field. Traditionally, the search for these generators has relied on greedy construction steps applied to an exponentially growing number of candidate operators, creating an 𝐢𝐧𝐭𝐫𝐚𝐜𝐭𝐚𝐛𝐥𝐞 𝐜𝐨𝐦𝐩𝐮𝐭𝐚𝐭𝐢𝐨𝐧𝐚𝐥 𝐛𝐨𝐭𝐭𝐥𝐞𝐧𝐞𝐜𝐤 𝐟𝐨𝐫 𝐞𝐯𝐞𝐧 𝐦𝐨𝐝𝐞𝐫𝐚𝐭𝐞𝐥𝐲 𝐬𝐢𝐳𝐞𝐝 𝐬𝐲𝐬𝐭𝐞𝐦𝐬. ⚡We propose 𝐚 𝐫𝐨𝐛𝐮𝐬𝐭 𝐧𝐞𝐰 𝐦𝐚𝐭𝐡𝐞𝐦𝐚𝐭𝐢𝐜𝐚𝐥 𝐟𝐫𝐚𝐦𝐞𝐰𝐨𝐫𝐤 𝐚𝐝𝐝𝐫𝐞𝐬𝐬𝐞𝐬 𝐭𝐡𝐞𝐬𝐞 𝐜𝐡𝐚𝐥𝐥𝐞𝐧𝐠𝐞𝐬 𝐡𝐞𝐚𝐝-𝐨𝐧, 𝐝𝐞𝐥𝐢𝐯𝐞𝐫𝐢𝐧𝐠 𝐚 𝐩𝐨𝐥𝐲𝐧𝐨𝐦𝐢𝐚𝐥-𝐬𝐜𝐚𝐥𝐢𝐧𝐠 𝐬𝐭𝐫𝐚𝐭𝐞𝐠𝐲 𝐭𝐡𝐚𝐭 𝐛𝐲𝐩𝐚𝐬𝐬𝐞𝐬 𝐭𝐡𝐞 𝐨𝐥𝐝 𝐜𝐨𝐦𝐩𝐮𝐭𝐚𝐭𝐢𝐨𝐧𝐚𝐥 𝐰𝐚𝐥𝐥𝐬. As an application, we show that these MCPs allow for improved Variational Quantum Eigensolver (VQE) strategies for quantum chemistry. Beyond that, this foundational framework also presents broad applications across quantum computing, including quantum error correction, machine learning, and hardware control. 🚀 Great work by Y. Viswanathan, Olivier ADJOUA, César Feniou and Siwar Badreddine, PhD. Sorbonne Université / CNRS @qubit_pharma #compchem #liealgebra #vqe