14 papers
Fermionic entropy: an efficiently measurable strong monotone for non-Gaussianity
Lorenzo Leone, Lennart Bittel
Fermionic Gaussian states form a central class of classically tractable quantum states, while fermionic non-Gaussianity provides the resource required to go beyond free-fermion dyn…
Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods
Elies Gil-Fuster, Matan Ninio, Lennart Bittel +4
The paper investigates whether classical Markov chain Monte Carlo methods, especially block‑Gibbs sampling, can reproduce the optimization performance of decoded quantum interferom…
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…
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…
Adaptively secure unitary designs with constant non-Clifford cost
Lennart Bittel, Lorenzo Leone
Randomness is a fundamental resource in quantum information, with crucial applications in cryptography, algorithms, and error correction. A central challenge is to construct unitar…
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…