Closed-form Analytic Expressions for Shadow Estimation with Brickwork Circuits

Watch a conference talk from TQC 2023 where Mirko Arienzo presents research on deriving closed-form analytical expressions for shadow estimation using brickwork circuits in quantum systems. Learn about the implementation of measurements based on random ensembles of unitaries, focusing on practical applications using two layers of parallel two-local Haar-random or Clifford unitaries. Explore how this approach compares to traditional methods using local Clifford unitaries, discovering improved sample complexity when estimating observables supported on multiple qubits. Understand the implications for near-term quantum applications and the theoretical foundations presented at the 18th Conference on the Theory of Quantum Computation, Communication and Cryptography held at the University of Aveiro, Portugal.