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 …

Nonstabilizerness versus entanglement in matrix product states

M Frau, PS Tarabunga, M Collura, M Dalmonte… - Physical Review B, 2024 - APS
In this paper, we investigate the relationship between entanglement and nonstabilizerness
(also known as magic) in matrix product states (MPSs). We study the relation between magic …

Dynamical Magic Transitions in Monitored Clifford+ Circuits

M Bejan, C McLauchlan, B Béri - PRX Quantum, 2024 - APS
The classical simulation of highly entangling quantum dynamics is conjectured to be
generically hard. Thus, recently discovered measurement-induced transitions between …

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 …

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 …

Critical behaviors of non-stabilizerness in quantum spin chains

PS Tarabunga - Quantum, 2024 - quantum-journal.org
Non-stabilizerness–commonly known as magic–measures the extent to which a quantum
state deviates from stabilizer states and is a fundamental resource for achieving universal …

Entanglement phases, localization, and multifractality of monitored free fermions in two dimensions

K Chahine, M Buchhold - Physical Review B, 2024 - APS
We investigate the entanglement structure and wave function characteristics of continuously
monitored free fermions with U (1) symmetry in two spatial dimensions. By deriving the exact …

Hybrid stabilizer matrix product operator

AF Mello, A Santini, M Collura - Physical Review Letters, 2024 - APS
We introduce a novel hybrid approach combining tensor network methods with the stabilizer
formalism to address the challenges of simulating many-body quantum systems. By …

Entanglement–nonstabilizerness separation in hybrid quantum circuits

GE Fux, E Tirrito, M Dalmonte, R Fazio - Physical Review Research, 2024 - APS
Nonstabilizerness describes the distance of a quantum state to its closest stabilizer state. It is—
like entanglement—a necessary resource for a quantum advantage over classical …

Anticoncentration and state design of random tensor networks

G Lami, J De Nardis, X Turkeshi - Physical Review Letters, 2025 - APS
We investigate quantum random tensor network states in which the dimension of the bond
scales polynomially with the size of the system N. Specifically, we examine the …