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math.AP2024
Convex sets can have interior hot spots
Jaume de Dios Pont
The hot spots conjecture asserts that for any convex bounded domain in , the first non-trivial Neumann eigenfunction of the Laplace operator in attains its max…
quant-ph2024
Predicting quantum channels over general product distributions
Sitan Chen, Jaume de Dios Pont, Jun-Ting Hsieh +3
We investigate the problem of predicting the output behavior of unknown quantum channels. Given query access to an -qubit channel and an observable , we aim to learn the…