291 citations · 1.2k across the 25 of their papers we have counts for
25 papers
Non-local Magic: closed-form solution and equivalence with magic of purification
Michele Viscardi, Lorenzo Leone, Alioscia Hamma
Non-local magic quantifies the non-stabilizerness of a bipartite quantum state that cannot be removed by local unitary transformations. Despite its natural definition, its evaluati…
Non-Clifford Cost of Random Unitaries
Lorenzo Leone, Salvatore F. E. Oliviero, Alioscia Hamma +2
Recent years have enjoyed a strong interest in exploring properties and applications of random quantum circuits. In this work, we explore the ensemble of -doped Clifford circuit…
Magic-induced computational separation in entanglement theory
Andi Gu, Salvatore F. E. Oliviero, Lorenzo Leone
Entanglement serves as a foundational pillar in quantum information theory, delineating the boundary between what is classical and what is quantum. The common assumption is that hi…
Doped stabilizer states in many-body physics and where to find them
Andi Gu, Salvatore F. E. Oliviero, Lorenzo Leone
This work uncovers a fundamental connection between doped stabilizer states, a concept from quantum information theory, and the structure of eigenstates in perturbed many-body quan…
Gravitational back-reaction is magical
ChunJun Cao, Gong Cheng, Alioscia Hamma +3
We study the interplay between magic and entanglement in quantum many-body systems. We show that non-local magic, which is supported by the quantum correlations is lower bounded by…
Pseudomagic Quantum States
Andi Gu, Lorenzo Leone, Soumik Ghosh +3
Notions of nonstabilizerness, or "magic", quantify how non-classical quantum states are in a precise sense: states exhibiting low nonstabilizerness preclude quantum advantage. We i…
Learning t-doped stabilizer states
Lorenzo Leone, Salvatore F. E. Oliviero, Alioscia Hamma
In this paper, we present a learning algorithm aimed at learning states obtained from computational basis states by Clifford circuits doped with a finite number of -gates. T…
Stabilizer entropy dynamics after a quantum quench
Davide Rattacaso, Lorenzo Leone, Salvatore F. E. Oliviero +1
Stabilizer entropies (SE) measure deviations from stabilizer resources and as such are a fundamental ingredient for quantum advantage. In particular, the interplay of SE and entang…
Quantifying non-stabilizerness through entanglement spectrum flatness
Emanuele Tirrito, Poetri Sonya Tarabunga, Gugliemo Lami +6
Non-stabilizerness - also colloquially referred to as magic - is the a resource for advantage in quantum computing and lies in the access to non-Clifford operations. Developing a c…
Phase transition in Stabilizer Entropy and efficient purity estimation
Lorenzo Leone, Salvatore F. E. Oliviero, Gianluca Esposito +1
Stabilizer Entropy (SE) quantifies the spread of a state in the basis of Pauli operators. It is a computationally tractable measure of non-stabilizerness and thus a useful resource…
Learning efficient decoders for quasi-chaotic quantum scramblers
Lorenzo Leone, Salvatore F. E. Oliviero, Seth Lloyd +1
Scrambling of quantum information is an important feature at the root of randomization and benchmarking protocols, the onset of quantum chaos, and black-hole physics. Unscrambling…
Unscrambling Quantum Information with Clifford decoders
Salvatore F. E. Oliviero, Lorenzo Leone, Seth Lloyd +1
Quantum information scrambling is a unitary process that destroys local correlations and spreads information throughout the system, effectively hiding it in nonlocal degrees of fre…
On the practical usefulness of the Hardware Efficient Ansatz
Lorenzo Leone, Salvatore F. E. Oliviero, Lukasz Cincio +1
Variational Quantum Algorithms (VQAs) and Quantum Machine Learning (QML) models train a parametrized quantum circuit to solve a given learning task. The success of these algorithms…
Retrieving information from a black hole using quantum machine learning
Lorenzo Leone, Salvatore F. E. Oliviero, Stefano Piemontese +2
In a seminal paper[JHEP09(2007)120], Hayden and Preskill showed that information can be retrieved from a black hole that is sufficiently scrambling, assuming that the retriever has…
Magic-state resource theory for the ground state of the transverse-field Ising model
Salvatore F. E. Oliviero, Lorenzo Leone, Alioscia Hamma
Ground states of quantum many-body systems are both entangled and possess a kind of quantum complexity as their preparation requires universal resources that go beyond the Clifford…
Nonstabilizerness determining the hardness of direct fidelity estimation
Lorenzo Leone, Salvatore F. E. Oliviero, Alioscia Hamma
In this work, we show how the resource theory of nonstabilizerness quantifies the hardness of direct fidelity estimation protocols. In particular, the resources needed for a direct…
Measuring magic on a quantum processor
Salvatore F. E. Oliviero, Lorenzo Leone, Alioscia Hamma +1
Magic states are the resource that allows quantum computers to attain an advantage over classical computers. This resource consists in the deviation from a property called stabiliz…
Stability of topological purity under random local unitaries
Salvatore F. E. Oliviero, Lorenzo Leone, You Zhou +1
In this work, we provide an analytical proof of the robustness of topological entanglement under a model of random local perturbations. We define a notion of average topological su…
Stabilizer Rényi entropy
Lorenzo Leone, Salvatore F. E. Oliviero, Alioscia Hamma
We introduce a novel measure for the quantum property of nonstabilizerness - commonly known as "magic" - by considering the Rényi entropy of the probability distribution associated…
Transitions in entanglement complexity in random quantum circuits by measurements
Salvatore F. E. Oliviero, Lorenzo Leone, Alioscia Hamma
Random Clifford circuits doped with non Clifford gates exhibit transitions to universal entanglement spectrum statistics[1] and quantum chaotic behavior. In [2] we proved that the…
Quantum Chaos is Quantum
Lorenzo Leone, Salvatore F. E. Oliviero, You Zhou +1
It is well known that a quantum circuit on qubits composed of Clifford gates with the addition of non Clifford gates can be simulated on a classical computer by an algorith…
Random Matrix Theory of the Isospectral twirling
Salvatore F. E. Oliviero, Lorenzo Leone, Francesco Caravelli +1
We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of…
Isospectral twirling and quantum chaos
Lorenzo Leone, Salvatore F. E. Oliviero, Alioscia Hamma
We show that the most important measures of quantum chaos like frame potentials, scrambling, Loschmidt echo, and out-of-time-order correlators (OTOCs) can be described by the unifi…
Remark on the synergy between the heat kernel techniques and the parity anomaly
Maxim Kurkov, Lorenzo Leone
In this paper, we demonstrate that not only the heat kernel techniques are useful for computation of the parity anomaly, but also the parity anomaly turns out to be a powerful mean…