Disentangling transitions in topological order induced by boundary decoherence

TC Lu - Physical Review B, 2024 - APS
We study the entanglement structure of topological orders subject to decoherence on the
bipartition boundary. Focusing on the toric codes in d space dimensions for d= 2, 3, 4, we …

Spontaneous strong symmetry breaking in open systems: Purification perspective

P Sala, S Gopalakrishnan, M Oshikawa… - arXiv preprint arXiv …, 2024 - arxiv.org
We explore the landscape of the decoherence effect in mixed-state ensembles from a
purification perspective. We analyze the spontaneous strong-to-weak symmetry breaking …

Towards a classification of mixed-state topological orders in two dimensions

T Ellison, M Cheng - arXiv preprint arXiv:2405.02390, 2024 - arxiv.org
The classification and characterization of topological phases of matter is well understood for
ground states of gapped Hamiltonians that are well isolated from the environment. However …

Strong-to-weak spontaneous symmetry breaking in mixed quantum states

LA Lessa, R Ma, JH Zhang, Z Bi, M Cheng… - arXiv preprint arXiv …, 2024 - arxiv.org
Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry,
where each individual pure state in the quantum ensemble is symmetric with the same …

Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak

D Gu, Z Wang, Z Wang - arXiv preprint arXiv:2406.19381, 2024 - arxiv.org
Depending on the coupling to the environment, symmetries of open quantum systems
manifest in two distinct forms, the strong and the weak. We study the spontaneous symmetry …

An analog of topological entanglement entropy for mixed states

TT Wang, M Song, ZY Meng, T Grover - arXiv preprint arXiv:2407.20500, 2024 - arxiv.org
We propose the convex-roof extension of quantum conditional mutual information (" co
(QCMI)") as a diagnostic of long-range entanglement in a mixed state. We focus primarily on …

Hydrodynamics as the effective field theory of strong-to-weak spontaneous symmetry breaking

X Huang, M Qi, JH Zhang, A Lucas - arXiv preprint arXiv:2407.08760, 2024 - arxiv.org
Inspired by the hunt for new phases of matter in quantum mixed states, it has recently been
proposed that the equivalence of microcanonical and canonical ensembles in statistical …

Robust preparation of ground state phases under noisy imaginary time evolution

A Khindanov, Y Yao, T Iadecola - arXiv preprint arXiv:2406.04285, 2024 - arxiv.org
Non-unitary state preparation protocols such as imaginary time evolution (ITE) offer
substantial advantages relative to unitary ones, including the ability to prepare certain long …

Approximate quantum error correcting codes from conformal field theory

S Sang, TH Hsieh, Y Zou - arXiv preprint arXiv:2406.09555, 2024 - arxiv.org
The low-energy subspace of a conformal field theory (CFT) can serve as a quantum error
correcting code, with important consequences in holography and quantum gravity. We …

Intrinsic mixed-state SPT from modulated symmetries and hierarchical structure of anomaly

Y You, M Oshikawa - arXiv preprint arXiv:2407.08786, 2024 - arxiv.org
We introduce a class of intrinsic symmetry-protected topological mixed-state (mSPT) in open
quantum systems that feature modulated symmetries, such as dipole and subsystem …