303 citations · 4.6k across the 110 of their papers we have counts for
84 papers · 1 filter
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 beyond the local choice of basis. Its evaluation is a hard problem requiring optimization over local unitaries. Here, we show that…
Quantum Chinese Remainder Clock
Ivri Nagar, Alioscia Hamma, Mikel Palmero +3
The Chinese remainder theorem is used in metrology for extending the range of quantum clocks/radar/interferometry, where the phase of a signal is known relative to a set of oscilla…
Stabilizer entropy is trustworthy for mixed states
Gianluca Esposito, Michele Viscardi, Alioscia Hamma
Quantifying non-stabilizerness in mixed states is provably intractable, as any strict monotone requires superexponential time. We propose a linear Stabilizer Entropy that acts as a…
Induced Resource Theories and Harvesting via Quantum Probes
Ron Nyström, Simone Cepollaro, Nicola Pranzini +3
We consider scenarios in which a quantum system with a well-defined resource theory is used as a probe to interact with an environment, such as a quantum field, for which a resourc…
A journey through Flatland: What does the antiflatness of a spectrum teach us?
Barbara Jasser, Daniele Iannotti, Alioscia Hamma
We explore the concept of antiflatness to characterize the structural fluctuations within the entanglement spectrum of a quantum state (i.e., the spectrum of its reduced density op…
Non-stabilizerness and U(1) symmetry in chaotic many-body quantum systems
Daniele Iannotti, Angelo Russotto, Barbara Jasser +2
We present exact, closed-form results for the non-stabilizerness of random pure states subject to a U(1) symmetry constraint. Using stabilizer entropy as our non-stabilizerness mon…
Non-Local Magic Resources for Fermionic Gaussian States
Daniele Iannotti, Beatrice Magni, Riccardo Cioli +2
Entanglement and magic are fundamental resources that capture the complexity of quantum many-body systems. Non-local magic isolates the irreducible nonstabilizerness intrinsically…
Certifying ergotropy under partial information
Egle Pagliaro, Leonardo Zambrano, Mir Alimuddin +3
Ergotropy, the maximum work extractable from a quantum system, is a central resource in quantum physics. Computing ergotropy is well established when the system state is fully know…
Probes of chaos over the Clifford group and approach to Haar values
Stefano Cusumano, Gianluca Esposito, Alioscia Hamma
Chaotic behavior of quantum systems can be characterized by the adherence of the expectation values of given probes to moments of the Haar distribution. In this work, we analyze th…
Stabilizer Entropy of Subspaces
Simone Cepollaro, Gianluca Cuffaro, Matthew B. Weiss +3
We consider the costs and benefits of embedding the states of one quantum system within those of another. Such embeddings are ubiquitous, e.g., in error correcting codes and in sym…
Experimental demonstration of non-local magic in a superconducting quantum processor
Halima Giovanna Ahmad, Gianluca Esposito, Viviana Stasino +9
Non-local magic is the non-stabilizerness that no local unitary operation can erase. It captures the joint action of entanglement and magic underlying quantum advantage, and it has…
Van Hove singularities in stabilizer entropy densities
Daniele Iannotti, Lorenzo Campos Venuti, Alioscia Hamma
The probability distribution of a measure of non-stabilizerness, also known as magic, is investigated for Haar-random pure quantum states. Focusing on the stabilizer Rényi entropie…
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…
Integrability and Chaos via fractal analysis of Spectral Form Factors: Gaussian approximations and exact results
Lorenzo Campos Venuti, Jovan Odavić, Alioscia Hamma
It is well known that the spectral form factor (SFF) of a possibly degenerate many-body Hamiltonian can be identified with a planar random walk taking steps of unequal length. In t…
Non-stabilizerness and violations of CHSH inequalities
Stefano Cusumano, Lorenzo Campos Venuti, Simone Cepollaro +7
We study quantitatively the interplay between entanglement and non-stabilizer resources in violating the CHSH inequalities. We show that, while non-stabilizer resources are necessa…
Interplay of entanglement structures and stabilizer entropy in spin models
Michele Viscardi, Marcello Dalmonte, Alioscia Hamma +1
Understanding the interplay between nonstabilizerness and entanglement is crucial for uncovering the fundamental origins of quantum complexity. Recent studies have proposed entangl…
Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
Barbara Jasser, Jovan Odavić, Alioscia Hamma
The Sachdev-Ye-Kitaev (SYK) model is of paramount importance for the understanding of both strange metals and a microscopic theory of two-dimensional gravity. We study the interpla…
Entanglement and Stabilizer entropies of random bipartite pure quantum states
Daniele Iannotti, Gianluca Esposito, Lorenzo Campos Venuti +1
The interplay between non-stabilizerness and entanglement in random states is a very rich arena of study for the understanding of quantum advantage and complexity. In this work, we…
Stabilizer entropy in non-integrable quantum evolutions
Jovan Odavić, Michele Viscardi, Alioscia Hamma
Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, s…
Invested and Potential Magic Resources in Measurement-Based Quantum Computation
Gongchu Li, Lei Chen, Si-Qi Zhang +8
Magic states and magic gates are crucial for achieving universal quantum computation, but important questions about how magic resources should be implemented to attain maximal quan…
Magic phase transition and non-local complexity in generalized State
A. G. Catalano, J. Odavić, G. Torre +3
We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition that has so far eluded any standard description and can thus now be explained in terms of th…
Geometric methods in quantum information and entanglement variational principle
Daniele Iannotti, Alioscia Hamma
Geometrical methods in quantum information are very promising for both providing technical tools and intuition into difficult control or optimization problems. Moreover, they are o…
Optimal encoding of two dissipative interacting qubits
G. Di Bello, G. De Filippis, A. Hamma +1
We investigate a system of two coupled qubits interacting with an Ohmic bath as a physical model for the implementation of one logical qubit. In this model, the interaction with th…
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…