223 citations · 3.7k across the 72 of their papers we have counts for
17 papers · 1 filter
Operator-Space Entanglement Entropy in Random Fermionic Gaussian Dynamics
Pablo Bayona-Pena, Elena Gramellini, Lorenzo Piroli
We study the von Neumann operator-space entanglement entropy (OSEE) of initial product operators evolved under random gaussian dynamics, as modeled by a Brownian SYK model. By…
An asymmetry lower bound on fermionic non-Gaussianity
Filiberto Ares, Michele Mazzoni, Sara Murciano +3
Fermionic Gaussian states are a fundamental tool in many-body physics, faithfully representing non-interacting quantum systems and allowing for efficient numerical simulations. Giv…
Construction and simulability of quantum circuits with free fermions in disguise
Dávid Szász-Schagrin, Daniele Cristani, Lorenzo Piroli +1
We provide a systematic construction for local quantum circuits hosting free fermions in disguise, both with staircase and brickwork architectures. Similar to the original Hamilton…
Breaking global symmetries with locality-preserving operations
Michele Mazzoni, Luca Capizzi, Lorenzo Piroli
In the general framework of quantum resource theories, one typically only distinguishes between operations that can or cannot generate the resource of interest. In many-body settin…
Learning mixed quantum states in large-scale experiments
Matteo Votto, Marko Ljubotina, Cécilia Lancien +5
We present and test a protocol to learn the matrix-product operator (MPO) representation of an experimentally prepared quantum state. The protocol takes as an input classical shado…
Adiabatic quantum state preparation in integrable models
Maximilian Lutz, Lorenzo Piroli, Georgios Styliaris +1
We propose applying the adiabatic algorithm to prepare high-energy eigenstates of integrable models on a quantum computer. We first review the standard adiabatic algorithm to prepa…
Approximate inverse measurement channel for shallow shadows
Riccardo Cioli, Elisa Ercolessi, Matteo Ippoliti +2
Classical shadows are a versatile tool to probe many-body quantum systems, consisting of a combination of randomised measurements and classical post-processing computations. In a r…
Integrability of Goldilocks quantum cellular automata
Logan E. Hillberry, Lorenzo Piroli, Eric Vernier +3
Goldilocks quantum cellular automata (QCA) have been simulated on quantum hardware and produce emergent small-world correlation networks. In Goldilocks QCA, a single-qubit unitary…
Approximating many-body quantum states with quantum circuits and measurements
Lorenzo Piroli, Georgios Styliaris, J. Ignacio Cirac
We introduce protocols to prepare many-body quantum states with quantum circuits assisted by local operations and classical communication. We show that by lifting the requirement o…
Many-body entropies and entanglement from polynomially-many local measurements
Benoît Vermersch, Marko Ljubotina, J. Ignacio Cirac +3
Estimating global properties of many-body quantum systems such as entropy or bipartite entanglement is a notoriously difficult task, typically requiring a number of measurements or…
Triviality of quantum trajectories close to a directed percolation transition
Lorenzo Piroli, Yaodong Li, Romain Vasseur +1
We study quantum circuits consisting of unitary gates, projective measurements, and control operations that steer the system towards a pure absorbing state. Two types of phase tran…
Integrable Digital Quantum Simulation: Generalized Gibbs Ensembles and Trotter Transitions
Eric Vernier, Bruno Bertini, Giuliano Giudici +1
The Trotter-Suzuki decomposition is a promising avenue for digital quantum simulation (DQS), approximating continuous-time dynamics by discrete Trotter steps of duration . Recen…
Generalized Deep Thermalization for Free Fermions
Maxime Lucas, Lorenzo Piroli, Jacopo De Nardis +1
In non-interacting isolated quantum systems out of equilibrium, local subsystems typically relax to non-thermal stationary states. In the standard framework, information on the res…
Quantum Circuits assisted by LOCC: Transformations and Phases of Matter
Lorenzo Piroli, Georgios Styliaris, J. Ignacio Cirac
We introduce deterministic state-transformation protocols between many-body quantum states which can be implemented by low-depth Quantum Circuits (QC) followed by Local Operations…
Topological lower bound on quantum chaos by entanglement growth
Zongping Gong, Lorenzo Piroli, J. Ignacio Cirac
A fundamental result in modern quantum chaos theory is the Maldacena-Shenker-Stanford upper bound on the growth of out-of-time-order correlators, whose infinite-temperature limit i…
Quantum Cellular Automata, Tensor Networks, and Area Laws
Lorenzo Piroli, J. Ignacio Cirac
Quantum Cellular Automata are unitary maps that preserve locality and respect causality. We identify them, in any dimension, with simple tensor networks (PEPU) whose bond dimension…
Quantum chaos in the Brownian SYK model with large finite : OTOCs and tripartite information
Christoph Sünderhauf, Lorenzo Piroli, Xiao-Liang Qi +2
We consider the Brownian SYK model of interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-ordered c…