8 papers
Ambient unitaries don't enable shallow group designs
Maxwell West, M. Cerezo, Martin Larocca
Characterising the efficiency with which designs over various subsets of the unitary group may be constructed is an important goal of quantum information theory. While it is now kn…
Particle-preserving fermionic shadows with mode-independent sample complexity
Maxwell West, M. Cerezo, Martin Larocca
We consider the problem of learning expectation values of particle-preserving operators with respect to an unknown -particle -mode fermionic state via classical shadows. Our…
Classical shadows over symmetric spaces
Rebecca Chang, Maureen Krumtünger, Martin Larocca +1
Efficiently learning expectation values of unknown quantum states via classical shadows has become an important primitive in both theoretical and experimental aspects of quantum co…
Classical shadows with arbitrary group representations
Maxwell West, Frederic Sauvage, Aniruddha Sen +6
Classical shadows (CS) has recently emerged as an important framework to efficiently predict properties of an unknown quantum state. A common strategy in CS protocols is to paramet…
On the average-case complexity of learning states from the circular and Gaussian ensembles
Maxwell West
Studying the complexity of states sampled from various ensembles is a central component of quantum information theory. In this work we establish the average-case hardness of learni…
No-go theorems for sublinear-depth group designs
Maxwell West, Diego GarcÃa-MartÃn, N. L. Diaz +2
Constructing ensembles of circuits which efficiently approximate the Haar measure over various groups is a long-standing and fundamental problem in quantum information theory. Rece…