Jonas Haferkamp

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Random unitaries are a central tool in quantum information theory, with applications ranging from encoding and decoding quantum information to modeling black-hole dynamics. In this talk, we will review recent advances in the generation of random unitaries in extremely low depth. More precisely, we will discuss how to generate so called pseudorandom unitaries and k-designs with circuits of almost logarithmic depth. We will explain how this remarkably fast scrambling of information in quantum circuits raises questions about the limits of measuring fundamental properties of quantum states and directly enhances quantum learning primitives such as classical shadows.

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Saarland University
0.03
Contact: Markus Heinrich