A rank-ℓ local operator on the three-leg AKLT ladder reads boundary-encoded qubits only through the L=ℓ transfer-matrix sector, with decay length ξ(L=ℓ), and leg exchange generates a multi-qubit SWAP gate.
The many-body state can be written as |Ψ⟩= DX α=1 |Lα⟩ ⊗ |Rα⟩,(E1) where|L α⟩and|R α⟩are the half-chain states associated with virtual boundary indexα
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
quant-ph 1years
2026 1verdicts
ACCEPT 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Geometric-Symmetry Logical Gate and Local-Probe Selectivity in the Three-Leg AKLT Ladder
A rank-ℓ local operator on the three-leg AKLT ladder reads boundary-encoded qubits only through the L=ℓ transfer-matrix sector, with decay length ξ(L=ℓ), and leg exchange generates a multi-qubit SWAP gate.