Nonstabilizerness via matrix product states in the pauli basis

PS Tarabunga, E Tirrito, MC Bañuls, M Dalmonte - Physical Review Letters, 2024 - APS
Nonstabilizerness, also known as “magic,” stands as a crucial resource for achieving a
potential advantage in quantum computing. Its connection to many-body physical …

Stabilizer entropies are monotones for magic-state resource theory

L Leone, L Bittel - Physical Review A, 2024 - APS
Magic-state resource theory is a powerful tool with applications in quantum error correction,
many-body physics, and classical simulation of quantum dynamics. Despite its broad scope …

Many-body magic via pauli-markov chains—from criticality to gauge theories

PS Tarabunga, E Tirrito, T Chanda, M Dalmonte - PRX Quantum, 2023 - APS
We introduce a method to measure many-body magic in quantum systems based on a
statistical exploration of Pauli strings via Markov chains. We demonstrate that sampling such …

Measuring nonstabilizerness via multifractal flatness

X Turkeshi, M Schirò, P Sierant - Physical Review A, 2023 - APS
Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

Unveiling the stabilizer group of a matrix product state

G Lami, M Collura - Physical Review Letters, 2024 - APS
We present a novel classical algorithm designed to learn the stabilizer group—namely, the
group of Pauli strings for which a state is a±1 eigenvector—of a given matrix product state …