188 citations · 486 across the 25 of their papers we have counts for
28 papers
Adaptivity is all you need: Optimal stabilizer learning using just single-copy measurements
L. Bittel, J. Eisert, W. Gong +2
Stabilizer states are central to quantum computing, underlying quantum error correction, benchmarking, and efficient classical simulation. Yet their learnability exhibits a strikin…
Testing quantum Gaussianity with constant sample complexity
Mahtab Yaghubi Rad, Ricard Puig, Saksham Hassanandani +4
Efficiently testing whether a quantum state possesses a given structure is both a fundamental and a practical task in quantum information. Among the most important structured famil…
Towards verifiable quantum advantage with random circuits: Observables that survive concentration
Antonio A. Mele, Francesco A. Mele, Jarrod R. McClean +1
Demonstrating quantum advantage on current quantum hardware is a central goal of quantum computing, and random quantum circuits underpin many leading proposals. Yet sampling-based…
When are bosonic Gaussian states classical to learn?
Senrui Chen, Antonio Anna Mele, Francesco Anna Mele +1
A fundamental question in physics is: When does classical behavior emerge from quantum systems? Bosonic Gaussian states provide a natural setting to explore this quantum-classical…
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…
Quantum memory advantage for quantum process tomography
Carlos Bravo-Prieto, Weiyuan Gong, Antonio Anna Mele
Quantum process tomography, the task of learning an unknown quantum channel from black-box access, is a central problem in quantum information. In this setting, protocols with quan…
Optimal learning of quantum channels in diamond distance
Antonio Anna Mele, Lennart Bittel
Quantum process tomography, the task of estimating an unknown quantum channel, is a central problem in quantum information theory. A long-standing open question is how many uses of…
Efficient learning of bosonic Gaussian unitaries
Marco Fanizza, Vishnu Iyer, Junseo Lee +2
Bosonic Gaussian unitaries are fundamental building blocks of central continuous-variable quantum technologies such as quantum-optic interferometry and bosonic error-correction sch…
Energy-independent tomography of Gaussian states
Lennart Bittel, Francesco Anna Mele, Francesco A. Mele +3
The exploration of tomography of bosonic Gaussian states is presumably as old as quantum optics, but only recently, their precise and rigorous study have been moving into the focus…
A unified approach to quantum resource theories and a new class of free operations
N. L. Diaz, Antonio Anna Mele, Pablo Bermejo +4
In quantum resource theories (QRTs) certain quantum states and operations are deemed more valuable than others. While the determination of the ``free'' elements is usually guided b…
Analyzing the free states of one quantum resource theory as resource states of another
Andrew E. Deneris, Paolo Braccia, Pablo Bermejo +3
In the context of quantum resource theories (QRTs), free states are defined as those which can be obtained at no cost under a certain restricted set of conditions. However, when ta…
Characterizing quantum resourcefulness via group-Fourier decompositions
Pablo Bermejo, Paolo Braccia, Antonio Anna Mele +4
In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary repres…
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…
Simulating quantum circuits with arbitrary local noise using Pauli Propagation
Armando Angrisani, Antonio A. Mele, Manuel S. Rudolph +2
We present a polynomial-time classical algorithm for estimating expectation values of arbitrary observables on typical quantum circuits under any incoherent local noise, including…
Optimal estimates of trace distance between bosonic Gaussian states and applications to learning
Lennart Bittel, Francesco Anna Mele, Antonio Anna Mele +2
Gaussian states of bosonic quantum systems enjoy numerous technological applications and are ubiquitous in nature. Their significance lies in their simplicity, which in turn rests…
Real classical shadows
Maxwell West, Antonio Anna Mele, Martin Larocca +1
Efficiently learning expectation values of a quantum state using classical shadow tomography has become a fundamental task in quantum information theory. In a classical shadows pro…
Random ensembles of symplectic and unitary states are indistinguishable
Maxwell West, Antonio Anna Mele, Martin Larocca +1
A unitary state -design is an ensemble of pure quantum states whose moments match up to the -th order those of states uniformly sampled from a -dimensional Hilbert space.…
Optimal trace-distance bounds for free-fermionic states: Testing and improved tomography
Lennart Bittel, Antonio Anna Mele, Jens Eisert +1
Free-fermionic states, also known as fermionic Gaussian states, represent an important class of quantum states ubiquitous in physics. They are uniquely and efficiently described by…
Experimental measurement and a physical interpretation of quantum shadow enumerators
Daniel Miller, Kyano Levi, Lukas Postler +18
Throughout its history, the theory of quantum error correction has heavily benefited from translating classical concepts into the quantum setting. In particular, classical notions…
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…
PAC-learning of free-fermionic states is NP-hard
Lennart Bittel, Antonio A. Mele, Jens Eisert +1
Free-fermionic states, also known as matchgates or Gaussian states, are a fundamental class of quantum states due to their efficient classical simulability and their crucial role a…
Noise-induced shallow circuits and absence of barren plateaus
Antonio Anna Mele, Armando Angrisani, Soumik Ghosh +4
Motivated by realistic hardware considerations of the pre-fault-tolerant era, we comprehensively study the impact of uncorrected noise on quantum circuits. We first show that in th…
Efficient learning of quantum states prepared with few fermionic non-Gaussian gates
Antonio Anna Mele, Yaroslav Herasymenko
The experimental realization of increasingly complex quantum states underscores the pressing need for new methods of state learning and verification. In one such framework, quantum…
Learning fermionic correlations by evolving with random translationally invariant Hamiltonians
Janek Denzler, Antonio Anna Mele, Ellen Derbyshire +2
Schemes of classical shadows have been developed to facilitate the read-out of digital quantum devices, but similar tools for analog quantum simulators are scarce and experimentall…