29 citations · 91 across the 6 of their papers we have counts for
6 papers
Entanglement in Valence-Bond-Solid States
Vladimir E. Korepin, Ying Xu
This article reviews the quantum entanglement in Valence-Bond-Solid (VBS) states defined on a lattice or a graph. The subject is presented in a self-contained and pedagogical way.…
Entanglement of Valence-Bond-Solid on an Arbitrary Graph
Ying Xu, Vladimir E Korepin
The Affleck-Kennedy-Lieb-Tasaki (AKLT) spin interacting model can be defined on an arbitrary graph. We explain the construction of the AKLT Hamiltonian. Given certain conditions, t…
Block Spin Density Matrix of the Inhomogeneous AKLT Model
Ying Xu, Hosho Katsura, Takaaki Hirano +1
We study the inhomogeneous generalization of a 1-dimensional AKLT spin chain model. Spins at each lattice site could be different. Under certain conditions, the ground state of thi…
Entanglement and Density Matrix of a Block of Spins in AKLT Model
Ying Xu, Hosho Katsura, Takaaki Hirano +1
We study a 1-dimensional AKLT spin chain, consisting of spins in the bulk and at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-So…
Binary Quantum Search
Vladimir Korepin, Ying Xu
Database search has wide applications and is used as a subroutine in many important algorithms. We shall consider a database with one target item. Quantum algorithm finds the targe…
Optimization of Partial Search
Vladimir Korepin
Quantum Grover search algorithm can find a target item in a database faster than any classical algorithm. One can trade accuracy for speed and find a part of the database (a block)…