Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements

GY Zhu, N Tantivasadakarn, A Vishwanath, S Trebst… - Physical Review Letters, 2023 - APS
In the field of monitored quantum circuits, it has remained an open question whether finite-
time protocols for preparing long-range entangled states lead to phases of matter that are …

Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond

JY Lee, W Ji, Z Bi, M Fisher - arXiv preprint arXiv:2208.11699, 2022 - arxiv.org
Measurements allow efficient preparation of interesting quantum many-body states with long-
range entanglement, conditioned on additional transformations based on measurement …

Universal entanglement spectrum in one-dimensional gapless symmetry protected topological states

XJ Yu, S Yang, HQ Lin, SK Jian - Physical Review Letters, 2024 - APS
Quantum entanglement marks a definitive feature of topological states. However, the
entanglement spectrum remains insufficiently explored for topological states without a bulk …

Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits

DT Stephen, WW Ho, TC Wei, R Raussendorf… - Physical Review Letters, 2024 - APS
A powerful tool emerging from the study of many-body quantum dynamics is that of dual-
unitary circuits, which are unitary even when read “sideways,” ie, along the spatial direction …

Pivot Hamiltonians as generators of symmetry and entanglement

N Tantivasadakarn, R Thorngren, A Vishwanath… - SciPost Physics, 2023 - scipost.org
It is well-known that symmetry-protected topological (SPT) phases can be obtained from the
trivial phase by an entangler, a finite-depth unitary operator $ U $. Here, we consider …

Fidelity susceptibility at the Lifshitz transition between the noninteracting topologically distinct quantum critical points

XJ Yu, WL Li - Physical Review B, 2024 - APS
By constructing an exactly solvable spin model, we investigate the critical behaviors of
transverse-field Ising chains interpolated with cluster interactions, which exhibit various …

Topological quantum phase transitions in 2D isometric tensor networks

YJ Liu, K Shtengel, F Pollmann - arXiv preprint arXiv:2312.05079, 2023 - arxiv.org
Isometric tensor networks (isoTNS) form a subclass of tensor network states that have an
additional isometric condition, which implies that they can be efficiently prepared with a …

Symmetry-resolved entanglement entropy in critical free-fermion chains

NG Jones - Journal of Statistical Physics, 2022 - Springer
The symmetry-resolved Rényi entanglement entropy is the Rényi entanglement entropy of
each symmetry sector of a density matrix ρ. This experimentally relevant quantity is known to …

Finite-depth preparation of tensor network states from measurement

R Sahay, R Verresen - arXiv preprint arXiv:2404.17087, 2024 - arxiv.org
Although tensor network states constitute a broad range of exotic quantum states, their
realization is challenging and often requires resources whose depth scales with system size …

Bulk-boundary correspondence and singularity-filling in long-range free-fermion chains

NG Jones, R Thorngren, R Verresen - Physical Review Letters, 2023 - APS
The bulk-boundary correspondence relates topologically protected edge modes to bulk
topological invariants and is well understood for short-range free-fermion chains. Although …