23 citations · 50 across the 16 of their papers we have counts for
17 papers
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…
Unifying spacetime approaches to quantum mechanics
N. L. Diaz, M. Cerezo, Paolo Braccia
Recent efforts to formulate quantum mechanics in a way that treats space and time on a more equal footing have led to a large variety of spacetime-oriented approaches. In this work…
The commutant of fermionic Gaussian unitaries
Paolo Braccia, N. L. Diaz, Martin Larocca +2
In this work, we characterize the -th order commutants of fermionic Gaussian unitaries and of their particle-preserving subgroup acting on fermionic modes. These commutants…
Practical framework for simulating permutation-equivariant quantum circuits
Su Yeon Chang, Martin Larocca, M. Cerezo
Understanding which subclasses of quantum circuits are efficiently classically simulable is fundamental to delineating the boundary between classical and quantum computation. In th…
Group Fourier filtering of quantum resources in quantum phase space
Luke Coffman, N. L. Diaz, Martin Larocca +2
Recently, it has been shown that group Fourier analysis of quantum states, i.e., decomposing them into the irreducible representations (irreps) of a symmetry group, enables new way…
A unified approach to quantum resource theories and a new class of free operations
N. L. Diaz, Antonio Anna Mele, Pablo Bermejo +4
In quantum resource theories (QRTs) certain quantum states and operations are deemed more valuable than others. While the determination of the ``free'' elements is usually guided b…
Analyzing the free states of one quantum resource theory as resource states of another
Andrew E. Deneris, Paolo Braccia, Pablo Bermejo +3
In the context of quantum resource theories (QRTs), free states are defined as those which can be obtained at no cost under a certain restricted set of conditions. However, when ta…
Characterizing quantum resourcefulness via group-Fourier decompositions
Pablo Bermejo, Paolo Braccia, Antonio Anna Mele +4
In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary repres…
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…
Optimal Haar random fermionic linear optics circuits
Paolo Braccia, N. L. Diaz, Martin Larocca +2
Sampling unitary Fermionic Linear Optics (FLO), or matchgate circuits, has become a fundamental tool in quantum information. Such capability enables a large number of applications…
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.…
Classically estimating observables of noiseless quantum circuits
Armando Angrisani, Alexander Schmidhuber, Manuel S. Rudolph +3
We present a classical algorithm based on Pauli propagation for estimating expectation values of arbitrary observables on random unstructured quantum circuits across all circuit ar…
Gate-based quantum simulation of Gaussian bosonic circuits on exponentially many modes
Alice Barthe, M. Cerezo, Andrew T. Sornborger +2
We introduce a framework for simulating, on an -qubit quantum computer, the action of a Gaussian Bosonic (GB) circuit on a state over modes. Specifically, we encode th…
Architectures and random properties of symplectic quantum circuits
Diego García-Martín, Paolo Braccia, M. Cerezo
Parametrized and random unitary (or orthogonal) -qubit circuits play a central role in quantum information. As such, one could naturally assume that circuits implementing symple…
On the universality of -equivariant -body gates
Sujay Kazi, Martin Larocca, M. Cerezo
The importance of symmetries has recently been recognized in quantum machine learning from the simple motto: if a task exhibits a symmetry (given by a group ), the le…