Nonstabilizerness versus entanglement in matrix product states
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 …
(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 …
many-body physics, and classical simulation of quantum dynamics. Despite its broad scope …
Unveiling the stabilizer group of a matrix product state
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 …
group of Pauli strings for which a state is a±1 eigenvector—of a given matrix product state …
Hybrid stabilizer matrix product operator
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 …
formalism to address the challenges of simulating many-body quantum systems. By …
Augmenting density matrix renormalization group with clifford circuits
The density matrix renormalization group (DMRG) is widely acknowledged as a highly
effective and accurate method for solving one-dimensional quantum many-body systems …
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 …
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 …
properties of quantum states. This is the case for methods such as tensor networks, based …
Quantum Lego expansion pack: Enumerators from tensor networks
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 …
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
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 …
$\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 …
serving as a useful resource for achieving universal quantum computation eg, within …