99 citations · 302 across the 16 of their papers we have counts for
16 papers
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…
Matchgate synthesis via Clifford matchgates and gates
Berta Casas, Paolo Braccia, Élie Gouzien +2
Matchgate unitaries are ubiquitous in quantum computation due to their relation to non-interacting fermions and because they can be used to benchmark quantum computers. Implementin…
Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms
Elijah Pelofske, Marek Rams, Andreas Bärtschi +4
The emergent practical applicability of the Quantum Approximate Optimization Algorithm (QAOA) for approximate combinatorial optimization is a subject of considerable interest. One…
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…
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…
Quantum Convolutional Neural Networks are Effectively Classically Simulable
Pablo Bermejo, Paolo Braccia, Manuel S. Rudolph +3
Quantum Convolutional Neural Networks (QCNNs) are widely regarded as a promising model for Quantum Machine Learning (QML). In this work we tie their heuristic success to two facts.…
Exact spectral gaps of random one-dimensional quantum circuits
Andrew E. Deneris, Pablo Bermejo, Paolo Braccia +2
The spectral gap of local random quantum circuits is a fundamental property that determines how close the moments of the circuit's unitaries match those of a Haar random distributi…
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…
Computing exact moments of local random quantum circuits via tensor networks
Paolo Braccia, Pablo Bermejo, Lukasz Cincio +1
A basic primitive in quantum information is the computation of the moments . These describe the distribution of expectation values obtained…
Does provable absence of barren plateaus imply classical simulability?
M. Cerezo, Martin Larocca, Diego García-Martín +9
A large amount of effort has recently been put into understanding the barren plateau phenomenon. In this perspective article, we face the increasingly loud elephant in the room and…
Parallel-in-time quantum simulation via Page and Wootters quantum time
N. L. Diaz, Paolo Braccia, Martin Larocca +3
In the past few decades, researchers have created a veritable zoo of quantum algorithms by drawing inspiration from classical computing, information theory, and even from physical…
Theory for Equivariant Quantum Neural Networks
Quynh T. Nguyen, Louis Schatzki, Paolo Braccia +5
Quantum neural network architectures that have little-to-no inductive biases are known to face trainability and generalization issues. Inspired by a similar problem, recent breakth…
Representation Theory for Geometric Quantum Machine Learning
Michael Ragone, Paolo Braccia, Quynh T. Nguyen +5
Recent advances in classical machine learning have shown that creating models with inductive biases encoding the symmetries of a problem can greatly improve performance. Importatio…
Complexity in the presence of a boundary
Paolo Braccia, Aldo L. Cotrone, Erik Tonni
The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory wi…