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A quantum tug of war between randomness and symmetries on homogeneous spaces
We explore the interplay between symmetry and randomness in quantum information.
Rademacher complexity of noisy quantum circuits
Noise in quantum systems is a major obstacle to implementing many quantum algorithms on large quantum circuits.
Quantum Physics
Effects of quantum resources on the statistical complexity of quantum circuits
We investigate how the addition of quantum resources changes the statistical complexity of quantum circuits by utilizing the framework of quantum resource theories.
On the statistical complexity of quantum circuits
In this work, we apply a particular measure of statistical complexity, namely the Rademacher complexity, to the quantum circuit model in quantum computation and study how the statistical complexity depends on various quantum circuit parameters.
Classical Shadows With Noise
The classical shadows protocol, recently introduced by Huang, Kueng, and Preskill [Nat.
Classical simulation of quantum circuits by half Gauss sums
We give an efficient algorithm to evaluate a certain class of exponential sums, namely the periodic, quadratic, multivariate half Gauss sums.
Quantum Physics Mathematical Physics Mathematical Physics
