20 citations · 100 across the 22 of their papers we have counts for
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Observation of Universal Quantum Chaos at Shallow Depths
Arman Sauliere, Guglielmo Lami, Hugo Lóio +5
Universal statistical laws are a hallmark of quantum chaos. A natural route to probing them in quantum circuits is offered by the statistics of output probabilities, which for suff…
Noise-induced Simulability Transition from Operator Scrambling
Neil Dowling, Xhek Turkeshi, Jacopo De Nardis +1
The complexity of simulating quantum many-body dynamics, or quantum computations, in the Heisenberg picture is governed by the scrambling of initially simple operators into superpo…
Error-Correction Transitions in Finite-Depth Quantum Channels
Arman Sauliere, Guglielmo Lami, Pedro Ribeiro +2
We study error correction type protocols in which a quantum channel encodes logical information into an enlarged Hilbert space. Specifically, we consider channels realized by one d…
Quantum State Designs via Magic Teleportation
Hugo Lóio, Guglielmo Lami, Lorenzo Leone +3
We investigate how non-stabilizer resources enable the emergence of quantum state designs within the projected ensemble. Starting from initial states with finite magic and applying…
Universality in the Anticoncentration of Noisy Quantum Circuits at Finite Depths
Arman Sauliere, Guglielmo Lami, Corentin Boyer +2
We present universal properties of anticoncentration in weakly noisy quantum circuits at finite depth. We develop a generic framework for single- and multi-qubit noise channels in…
Emergence of Generic Entanglement Structure in Doped Matchgate Circuits
Alessio Paviglianiti, Luca Lumia, Emanuele Tirrito +4
Free fermionic Gaussian, a.k.a. matchgate, random circuits exhibit atypical behavior compared to generic interacting systems. They produce anomalously slow entanglement growth, cha…
Magic phase transitions in monitored gaussian fermions
Emanuele Tirrito, Luca Lumia, Alessio Paviglianiti +4
Monitored quantum systems, where unitary dynamics compete with continuous measurements, exhibit dynamical transitions as the measurement rate is varied. These reflect abrupt change…
Overcoming the entanglement barrier with sampled tensor networks
Stefano Carignano, Guglielmo Lami, Jacopo De Nardis +1
The rapid growth of entanglement under unitary time evolution is the primary bottleneck for modern tensor-network techniques--such as Matrix Product States (MPS)--when computing ti…
Quantum State Design and Emergent Confinement Mechanism in Measured Tensor Network States
Guglielmo Lami, Andrea De Luca, Xhek Turkeshi +1
Randomness is a fundamental aspect of quantum mechanics, arising from the measurement process that collapses superpositions into definite outcomes according to Born's rule. Generat…
Tensor Network Techniques for Quantum Computation
Mario Collura, Guglielmo Lami, Nishan Ranabhat +1
This book serves as an introductory yet thorough guide to tensor networks and their applications in quantum computation and quantum information, designed for advanced undergraduate…
Universality in the Anticoncentration of Chaotic Quantum Circuits
Arman Sauliere, Beatrice Magni, Guglielmo Lami +2
We identify a \emph{universal functional form} that governs anticoncentration in random quantum circuits-one that holds across diverse circuit architectures and depths, and crucial…
Correlations, Spectra and Entanglement Transitions in Ensembles of Matrix Product States
Hugo Lóio, Guillaume Cecile, Sarang Gopalakrishnan +2
We investigate ensembles of Matrix Product States (MPSs) generated by quantum circuit evolution followed by projection onto MPSs with a fixed bond dimension . Specifically, we c…
The non-stabilizerness of fermionic Gaussian states
Mario Collura, Jacopo De Nardis, Vincenzo Alba +1
We introduce an efficient method to quantify nonstabilizerness in fermionic Gaussian states, overcoming the long-standing challenge posed by their extensive entanglement. Using a p…
Anticoncentration and state design of random tensor networks
Guglielmo Lami, Jacopo De Nardis, Xhek Turkeshi
We investigate quantum random tensor network states where the bond dimensions scale polynomially with the system size, . Specifically, we examine the delocalization properties o…
Clifford Dressed Time-Dependent Variational Principle
Antonio Francesco Mello, Alessandro Santini, Guglielmo Lami +2
We propose an enhanced Time-Dependent Variational Principle (TDVP) algorithm for Matrix Product States (MPS) that integrates Clifford disentangling techniques to efficiently manage…
Variational ground-state quantum adiabatic theorem
Bojan Žunkovič, Pietro Torta, Giovanni Pecci +2
We present a variational quantum adiabatic theorem, which states that, under certain assumptions, the adiabatic dynamics projected onto a variational manifold follow the instantane…
Estimating Non-Stabilizerness Dynamics Without Simulating It
Alessio Paviglianiti, Guglielmo Lami, Mario Collura +1
We introduce the Iterative Clifford Circuit Renormalization (ICCR), a novel technique designed to efficiently handle the dynamics of non-stabilizerness (a.k.a. quantum magic) in ge…
Quantum State Designs with Clifford Enhanced Matrix Product States
Guglielmo Lami, Tobias Haug, Jacopo De Nardis
Nonstabilizerness, or `magic', is a critical quantum resource that, together with entanglement, characterizes the non-classical complexity of quantum states. Here, we address the p…
Retrieving non-stabilizerness with Neural Networks
Antonio Francesco Mello, Guglielmo Lami, Mario Collura
Quantum computing's promise lies in its intrinsic complexity, with entanglement initially heralded as its hallmark. However, the quest for quantum advantage extends beyond entangle…
Learning the stabilizer group of a Matrix Product State
Guglielmo Lami, Mario Collura
We present a novel classical algorithm designed to learn the stabilizer group -- namely the group of Pauli strings for which a state is a eigenvector -- of a given Matrix P…
Continuously Monitored Quantum Systems beyond Lindblad Dynamics
Guglielmo Lami, Alessandro Santini, Mario Collura
The dynamics of a quantum system, undergoing unitary evolution and continuous monitoring, can be described in term of quantum trajectories. Although the averaged state fully charac…
Quantum Magic via Perfect Pauli Sampling of Matrix Product States
Guglielmo Lami, Mario Collura
We introduce a novel breakthrough approach to evaluate the nonstabilizerness of an -qubits Matrix Product State (MPS) with bond dimension . In particular, we consider the rec…
Quantum Annealing for Neural Network optimization problems: a new approach via Tensor Network simulations
Guglielmo Lami, Pietro Torta, Giuseppe E. Santoro +1
Quantum Annealing (QA) is one of the most promising frameworks for quantum optimization. Here, we focus on the problem of minimizing complex classical cost functions associated wit…