188 citations · 486 across the 25 of their papers we have counts for
9 papers · 1 filter
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…