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Free fermionic black holes as polarised mirrors
Maureen Krumtünger, Maxwell West
Understanding the speed with which various classes of quantum systems can scramble information is a key goal of quantum information theory, with relevance to both fundamental physi…
Fermionic Gaussianity can be tested with mode-independent sample-complexity
Maxwell West, Martin Larocca
Deciding whether an unknown quantum state either belongs to, or is far from, a given family of states is a natural question of quantum information theory. In many such cases, there…
Practical fermionic shadows enabled by improved sample-complexity bounds
Maxwell West, Su Yeon Chang, Luke Coffman +2
Classical shadow tomography is widely touted as supplying a family of methods for extracting information from quantum systems with polynomially scaling sample-complexities. In the…
Strong matchgate designs in nearly optimal depth
Maxwell West, M. Cerezo, Martin Larocca
Understanding the resources required to generate approximately random unitaries over various groups is a natural goal of quantum information theory. With respect to one notion of a…
Sample-optimal learning of stabilizer states
Rebecca Chang, Matthias C. Caro, Martin Larocca +1
It is well-known that learning a pure -qubit stabilizer state both requires, and can be accomplished with, access to a number of copies of linear in .…
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 García-Martín, 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…
Recursive Cartan decompositions for unitary synthesis
David Wierichs, Maxwell West, Roy T. Forestano +2
Recursive Cartan decompositions (CDs) provide a way to exactly factorize quantum circuits into smaller components, making them a central tool for unitary synthesis. Here we present…
Real classical shadows
Maxwell West, Antonio Anna Mele, Martin Larocca +1
Efficiently learning expectation values of a quantum state using classical shadow tomography has become a fundamental task in quantum information theory. In a classical shadows pro…
Random ensembles of symplectic and unitary states are indistinguishable
Maxwell West, Antonio Anna Mele, Martin Larocca +1
A unitary state -design is an ensemble of pure quantum states whose moments match up to the -th order those of states uniformly sampled from a -dimensional Hilbert space.…