The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges

A Baiardi, M Reiher - The Journal of Chemical Physics, 2020 - pubs.aip.org
In the past two decades, the density matrix renormalization group (DMRG) has emerged as
an innovative new method in quantum chemistry relying on a theoretical framework very …

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

R Orús - Annals of physics, 2014 - Elsevier
This is a partly non-technical introduction to selected topics on tensor network methods,
based on several lectures and introductory seminars given on the subject. It should be a …

A programmable qudit-based quantum processor

Y Chi, J Huang, Z Zhang, J Mao, Z Zhou, X Chen… - Nature …, 2022 - nature.com
Controlling and programming quantum devices to process quantum information by the unit
of quantum dit, ie, qudit, provides the possibilities for noise-resilient quantum …

Deterministic constant-depth preparation of the AKLT state on a quantum processor using fusion measurements

KC Smith, E Crane, N Wiebe, SM Girvin - PRX Quantum, 2023 - APS
The ground state of the spin-1 Affleck, Kennedy, Lieb, and Tasaki (AKLT) model is a
paradigmatic example of both a matrix product state and a symmetry-protected topological …

Encoding of matrix product states into quantum circuits of one-and two-qubit gates

SJ Ran - Physical Review A, 2020 - APS
The matrix product state (MPS) belongs to the most important models in, for example,
quantum information sciences and condensed-matter physics. However, realizing an N …

Blind quantum computation protocol in which Alice only makes measurements

T Morimae, K Fujii - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
Blind quantum computation is a new secure quantum computing protocol which enables
Alice (who does not have sufficient quantum technology) to delegate her quantum …

Symmetry-protected phases for measurement-based quantum computation

DV Else, I Schwarz, SD Bartlett, AC Doherty - Physical review letters, 2012 - APS
Ground states of spin lattices can serve as a resource for measurement-based quantum
computation. Ideally, the ability to perform quantum gates via measurements on such states …

Verification of many-qubit states

Y Takeuchi, T Morimae - Physical Review X, 2018 - APS
Verification is a task to check whether a given quantum state is close to an ideal state or not.
In this paper, we show that a variety of many-qubit quantum states can be verified with only …

An architecture for two-qubit encoding in neutral ytterbium-171 atoms

Z Jia, W Huie, L Li, WKC Sun, X Hu, Aakash… - npj Quantum …, 2024 - nature.com
We present an architecture for encoding two qubits within the optical “clock” transition and
nuclear spin-1/2 degree of freedom of neutral ytterbium-171 atoms. Inspired by recent high …

Measurement-based quantum computation in finite one-dimensional systems: string order implies computational power

R Raussendorf, W Yang, A Adhikary - Quantum, 2023 - quantum-journal.org
We present a new framework for assessing the power of measurement-based quantum
computation (MBQC) on short-range entangled symmetric resource states, in spatial …