Augmenting finite temperature tensor network with clifford circuits

X Qian, J Huang, M Qin - arxiv preprint arxiv:2410.15709, 2024 - arxiv.org
Recent studies have highlighted the combination of tensor network methods and the
stabilizer formalism as a very effective framework for simulating quantum many-body …

[PDF][PDF] Stabilizer disentangling of conformal field theories

M Frau, PS Tarabunga, M Collura, E Tirrito… - arxiv preprint arxiv …, 2024 - scipost.org
Understanding how entanglement can be reduced through simple operations is crucial for
both classical and quantum algorithms. We investigate the entanglement properties of lattice …

Stabilizer Tensor Networks with Magic State Injection

AC Nakhl, B Harper, M West, N Dowling… - arxiv preprint arxiv …, 2024 - arxiv.org
This work augments the recently introduced Stabilizer Tensor Network (STN) protocol with
magic state injection, reporting a new framework with significantly enhanced ability to …

A tensor network formulation of Lattice Gauge Theories based only on symmetric tensors

M Canals, N Chepiga, L Tagliacozzo - arxiv preprint arxiv:2412.16961, 2024 - arxiv.org
The Lattice Gauge Theory Hilbert space is divided into gauge-invariant sectors selected by
the background charges. Such a projector can be directly embedded in a tensor network …

Disentangling critical quantum spin chains with Clifford circuits

C Fan, X Qian, HC Zhang, RZ Huang, M Qin, T **ang - Physical Review B, 2025 - APS
Clifford circuits can be utilized to disentangle quantum states with polynomial cost, thanks to
the Gottesman-Knill theorem. Based on this idea, the Clifford Circuits Augmented Matrix …

Clifford-Dressed Variational Principles for Precise Loschmidt Echoes

AF Mello, A Santini, M Collura - arxiv preprint arxiv:2502.01872, 2025 - arxiv.org
We extend the recently introduced Clifford dressed Time-Dependent Variational Principle
(TDVP) to efficiently compute many-body wavefunction amplitudes in the computational …

Bridging Entanglement and Magic Resources through Operator Space

N Dowling, K Modi, GAL White - arxiv preprint arxiv:2501.18679, 2025 - arxiv.org
Local operator entanglement (LOE) dictates the complexity of simulating Heisenberg
evolution using tensor network methods, and serves as strong dynamical signature of …

Classical simulability of Clifford+ T circuits with Clifford-augmented matrix product states

Z Liu, BK Clark - arxiv preprint arxiv:2412.17209, 2024 - arxiv.org
Generic quantum circuits typically require exponential resources for classical simulation, yet
understanding the limits of classical simulability remains a fundamental question. In this …