2 problems
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Hexagonal-lattice conjecture for simultaneous quantum optimization
Let range over periodic configurations of arbitrary fixed density in phase space, and consider the associated quantum packing, covering, and paving problems. The hexagona…
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Leech-lattice conjecture for quantum paving in dimension 24
Let be a Leech lattice in phase space of dimension , with arbitrary fixed density greater than . The Leech-lattice conjecture. There exists a Leech lattice that so…