14 papers
Data-driven linear analysis of dynamical systems via nonlinearity-subtracted dynamic mode decomposition
Benjamin Herrmann, Katherine Cao, Steven L. Brunton +1
The Dynamic Mode Decomposition (DMD) has been consolidated as a basic tool for data-driven analysis of dynamical systems, allowing simultaneous identification of coherent structure…
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…
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…
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…
Operational interpretation of the Stabilizer Entropy
Lennart Bittel, Lorenzo Leone
Magic-state resource theory is a fundamental framework with far-reaching applications in quantum error correction and the classical simulation of quantum systems. Recent advances h…