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 …

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 …

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 …

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 …

Augmenting density matrix renormalization group with clifford circuits

X Qian, J Huang, M Qin - Physical Review Letters, 2024 - APS
The density matrix renormalization group (DMRG) is widely acknowledged as a highly
effective and accurate method for solving one-dimensional quantum many-body systems …

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 …

Stabilizer Tensor Networks: universal quantum simulator on a basis of stabilizer states

S Masot-Llima, A Garcia-Saez - Physical Review Letters, 2024 - APS
Efficient simulation of quantum computers relies on understanding and exploiting the
properties of quantum states. This is the case for methods such as tensor networks, based …

Quantum Lego expansion pack: Enumerators from tensor networks

CJ Cao, MJ Gullans, B Lackey, Z Wang - PRX Quantum, 2024 - APS
We provide the first tensor-network method for computing quantum weight enumerator
polynomials in the most general form. If a quantum code has a known tensor-network …

Stabilizer bootstrapping: A recipe for efficient agnostic tomography and magic estimation

S Chen, W Gong, Q Ye, Z Zhang - arXiv preprint arXiv:2408.06967, 2024 - arxiv.org
We study the task of agnostic tomography: given copies of an unknown $ n $-qubit state
$\rho $ which has fidelity $\tau $ with some state in a given class $ C $, find a state which …

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 …