6 citations · 12 across the 2 of their papers we have counts for
6 papers
Can a spin chain relate combinatorics to number theory?
Kun Hao, Olof Salberger, Vladimir Korepin
The Motzkin spin chain is a spin- frustration-free model introduced by Shor & Movassagh. The ground state is constructed by mapping random walks on the upper half of the square…
Shor-Movassagh chain leads to unusual integrable model
Bin Tong, Olof Salberger, Kun Hao +1
The ground state of Shor-Movassagh chain can be analytically described by the Motzkin paths. There is no analytical description of the excited states, the model is not solvable. We…
Non-Interacting Motzkin Chain - Periodic Boundary Conditions
Olof Salberger, Pramod Padmanabhan, Vladimir Korepin
The Motzkin spin chain is a spin-1 model introduced in \cite{shor} as an example of a system exhibiting a high degree of quantum fluctuations whose ground state can be mapped to Mo…
Deformed Fredkin Spin Chain with Extensive Entanglement
Olof Salberger, Takuma Udagawa, Zhao Zhang +3
We introduce a new spin chain which is a deformation of the Fredkin spin chain and has a phase transition between bounded and extensive entanglement entropy scaling. In this chain,…
Fredkin Spin Chain
Olof Salberger, Vladimir Korepin
We introduce a new model of interacting spin 1/2. It describes interaction of three nearest neighbors. The Hamiltonian can be expressed in terms of Fredkin gates. The Fredkin gate…
Violation of Cluster Decomposition and Absence of Light-Cones in Local Integer and Half-Integer Spin Chains
L. Dell'Anna, O. Salberger, L. Barbiero +2
We compute the ground state correlation functions of an exactly solvable chain of integer spins, recently introduced in [R. Movassagh and P. W. Shor, arXiv:1408.1657], whose ground…