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20202026
most citedStabilizer Rényi entropy

291 citations · 1.1k across the 26 of their papers we have counts for

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quant-ph2026

A Cheat-Sensitive Primitive for Destination-Private Quantum Routing

S. F. E. Oliviero, S. Onofri, V. Giovannetti

Quantum networks will rely on intermediate nodes to distribute entanglement, but the same nodes may learn which users are being connected. We introduce a minimal two-call routing p…

quant-ph2026

Strong unitary designs in optimal depth and space

Teodor Parella-Dilmé, Júlia Barberà-Rodríguez, Salvatore F. E. Oliviero +1

Unitary designs provide finite-moment approximations to Haar-random unitaries, with wide-ranging applications across physics and quantum information, from scrambling and black-hole…

quant-ph2025

Is it Gaussian? Testing bosonic quantum states

Filippo Girardi, Freek Witteveen, Francesco Anna Mele +4

Gaussian states are widely regarded as one of the most relevant classes of continuous-variable (CV) quantum states, as they naturally arise in physical systems and play a key role…

quant-ph2025★ 4 cited

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…

quant-ph2025

The symplectic rank of non-Gaussian quantum states

Francesco Anna Mele, Salvatore Francesco Emanuele Oliviero, Varun Upreti +1

Non-Gaussianity is a key resource for achieving quantum advantages in bosonic platforms. Here, we investigate the symplectic rank: a novel non-Gaussianity monotone that satisfies r…

quant-ph2025★ 1 cited

A complete theory of the Clifford commutant

Lennart Bittel, Jens Eisert, Lorenzo Leone +2

The Clifford group plays a central role in quantum information science. It is the building block for many error-correcting schemes and matches the first three moments of the Haar m…

quant-ph2025

Extracting energy via bosonic Gaussian operations

Frank Ernesto Quintela Rodriguez, Francesco Anna Mele, Salvatore Francesco Emanuele Oliviero +3

Quantum thermodynamics is often formulated as a theory with constrained access to operations and resources. In this manuscript, we find a closed formula for the Gaussian ergotropy,…

quant-ph2024★ 12 cited

Learning quantum states of continuous variable systems

Francesco Anna Mele, Antonio Anna Mele, Lennart Bittel +5

Quantum state tomography, aimed at deriving a classical description of an unknown state from measurement data, is a fundamental task in quantum physics. In this work, we analyse th…

quant-ph2024★ 28 cited

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…

quant-ph2024★ 17 cited

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…

quant-ph2023★ 44 cited

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…

quant-ph2023★ 48 cited

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…

quant-ph2023★ 9 cited

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…

quant-ph2023★ 26 cited

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…

quant-ph2022★ 40 cited

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…

quant-ph2022★ 32 cited

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…

quant-ph2022★ 72 cited

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…

quant-ph2022★ 26 cited

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…

quant-ph2022★ 89 cited

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…

quant-ph2022★ 64 cited

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…

quant-ph2022★ 112 cited

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…

quant-ph2021★ 7 cited

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…

quant-ph2021★ 291 cited

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…

quant-ph2021★ 43 cited

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…