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 …

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 …

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 …

Noise-induced phase transitions in hybrid quantum circuits

S Liu, MR Li, SX Zhang, SK Jian, H Yao - Physical Review B, 2024 - APS
The presence of quantum noises inherent to real physical systems can strongly impact the
physics in hybrid quantum circuits with local random unitaries and midcircuit measurements …

Clifford Dressed Time-Dependent Variational Principle

AF Mello, A Santini, G Lami, J De Nardis… - arXiv preprint arXiv …, 2024 - arxiv.org
We propose an enhanced Time-Dependent Variational Principle (TDVP) algorithm for Matrix
Product States (MPS) that integrates Clifford disentangling techniques to efficiently manage …

Quantum magic and computational complexity in the neutrino sector

I Chernyshev, CEP Robin, MJ Savage - arXiv preprint arXiv:2411.04203, 2024 - arxiv.org
We consider the quantum magic in systems of dense neutrinos undergoing coherent flavor
transformations, relevant for supernova and neutron-star binary mergers. Mapping the three …

A nonstabilizerness monotone from stabilizerness asymmetry

PS Tarabunga, M Frau, T Haug, E Tirrito… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce a nonstabilizerness monotone which we name basis-minimised stabilizerness
asymmetry (BMSA). It is based on the notion of $ G $-asymmetry, a measure of how much a …

Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei

F Brökemeier, SM Hengstenberg, JWT Keeble… - arXiv preprint arXiv …, 2024 - arxiv.org
Motivated by the Gottesman-Knill theorem, we present a detailed study of the quantum
complexity of $ p $-shell and $ sd $-shell nuclei. Valence-space nuclear shell-model …

Non-stabilizerness in U (1) lattice gauge theory

PRN Falcão, PS Tarabunga, M Frau, E Tirrito… - arXiv preprint arXiv …, 2024 - arxiv.org
We present a thorough investigation of non-stabilizerness-a fundamental quantum resource
that quantifies state complexity within the framework of quantum computing-in a one …

Exact solution of long-range stabilizer R\'enyi entropy in the dual-unitary XXZ model

JAM López, P Kos - arXiv preprint arXiv:2405.04448, 2024 - arxiv.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 …