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 …

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 …

Exact solution of long-range stabilizer Rényi entropy in the dual-unitary XXZ model

JAM López, P Kos - Journal of Physics A: Mathematical and …, 2024 - iopscience.iop.org
Quantum systems can not be efficiently simulated classically due to the presence of
entanglement and nonstabilizerness, also known as quantum magic. Here we study the …

Disentangling unitary dynamics with classically simulable quantum circuits

GE Fux, B Béri, R Fazio, E Tirrito - arxiv preprint arxiv:2410.09001, 2024 - arxiv.org
We explore to which extent it is possible to construct efficient classical simulation of quantum
many body systems using a combination of tensor network methods and the stabilizer …

Pauli spectrum and nonstabilizerness of typical quantum many-body states

X Turkeshi, A Dymarsky, P Sierant - Physical Review B, 2025 - APS
An important question of quantum information is to characterize genuinely quantum (beyond-
Clifford) resources necessary for universal quantum computing. Here, we use the Pauli …

Nonstabilizerness of permutationally invariant systems

G Passarelli, R Fazio, P Lucignano - Physical Review A, 2024 - APS
Typical measures of nonstabilizerness of a system of N qubits require computing 4 N
expectation values, one for each Pauli string in the Pauli group, over a state of dimension 2 …

Nonstabilizerness in U (1) lattice gauge theory

PRN Falcão, PS Tarabunga, M Frau, E Tirrito… - Physical Review B, 2025 - APS
We present a thorough investigation of nonstabilizerness—a fundamental quantum resource
that quantifies state complexity within the framework of quantum computing—in a one …

Magic spreading in random quantum circuits

X Turkeshi, E Tirrito, P Sierant - arxiv preprint arxiv:2407.03929, 2024 - arxiv.org
Magic state resources or non-stabilizerness quantify the beyond-Clifford operations
necessary for universal quantum computing. How rapidly are magic resources generated by …