Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging

Classification of matrix product ground states corresponding to one dimensional chains of two state sites of nearest neighbor interactions

A complete classification is given for one dimensional chains with nearest neighbor interactions having two states in each site, for which a matrix product ground state exists. The Hamiltonians and their corresponding matrix product ground states are explicitly obtained.

基于Hamming距离的量子K近邻分类算法

Quantum K-nearest neighbor classification algorithm based on Hamming distance

针对传统K近邻分类算法，提出基于Hamming距离的量子K近邻分类算法，利用量子计算并行获取距离并设计子算法寻找最小值，实现了二次加速。

A 2D Nearest-Neighbor Quantum Architecture for Factoring in Polylogarithmic Depth

We contribute a 2D nearest-neighbor quantum architecture for Shor's algorithm to factor an $n$-bit number in $O(\log^2(n))$ depth. Our implementation uses parallel phase estimation, constant-depth fanout and teleportation, and constant-depth carry-save modular addition. We derive upper bounds on the circuit resources of our architecture under a new 2D nearest-neighbor model which allows a classical controller and parallel, communicating modules. We also contribute a novel constant-depth circuit for unbounded quantum unfanout in our new model. Finally, we provide a comparison to all previous ne…

Optical Kagome lattice for ultra-cold atoms with nearest neighbor interactions

We propose a scheme to implement an optical Kagome lattice for ultra-cold atoms with controllable s-wave interactions between nearest neighbor sites and a gauge potential. The atoms occupy three different internal atomic levels with electromagnetically-induced coupling between the levels. We show that by appropriately shifting the triangular lattice potentials, experienced by atoms in different levels, the Kagome lattice can be realized using only two standing waves, generating a highly frustrated quantum system for the atoms.