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 …

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 …

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 …

Magic of quantum hypergraph states

J Chen, Y Yan, Y Zhou - Quantum, 2024 - quantum-journal.org
Magic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of
stabilizer states, playing a fundamental role in quantum state complexity and universal fault …

Magic in generalized Rokhsar-Kivelson wavefunctions

PS Tarabunga, C Castelnovo - Quantum, 2024 - quantum-journal.org
Magic is a property of a quantum state that characterizes its deviation from a stabilizer state,
serving as a useful resource for achieving universal quantum computation eg, within …

Many-Body Entropies and Entanglement from Polynomially Many Local Measurements

B Vermersch, M Ljubotina, JI Cirac, P Zoller, M Serbyn… - Physical Review X, 2024 - APS
Estimating global properties of many-body quantum systems such as entropy or bipartite
entanglement is a notoriously difficult task, typically requiring a number of measurements or …