Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Long-range interacting quantum systems

N Defenu, T Donner, T Macrì, G Pagano, S Ruffo… - Reviews of Modern …, 2023 - APS
In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

The future of quantum computing with superconducting qubits

S Bravyi, O Dial, JM Gambetta, D Gil… - Journal of Applied …, 2022 - pubs.aip.org
For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …

A quantum processor based on coherent transport of entangled atom arrays

D Bluvstein, H Levine, G Semeghini, TT Wang, S Ebadi… - Nature, 2022 - nature.com
The ability to engineer parallel, programmable operations between desired qubits within a
quantum processor is key for building scalable quantum information systems,. In most state …

Efficient long-range entanglement using dynamic circuits

E Bäumer, V Tripathi, DS Wang, P Rall, EH Chen… - PRX Quantum, 2024 - APS
Quantum simulation traditionally relies on unitary dynamics, inherently imposing efficiency
constraints on the generation of intricate entangled states. In principle, these limitations can …

Non-Abelian topological order and anyons on a trapped-ion processor

M Iqbal, N Tantivasadakarn, R Verresen, SL Campbell… - Nature, 2024 - nature.com
Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …

Provably efficient machine learning for quantum many-body problems

HY Huang, R Kueng, G Torlai, VV Albert, J Preskill - Science, 2022 - science.org
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …

Topological order from measurements and feed-forward on a trapped ion quantum computer

M Iqbal, N Tantivasadakarn, TM Gatterman… - Communications …, 2024 - nature.com
Quantum systems evolve in time in one of two ways: through the Schrödinger equation or
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …

Hierarchy of topological order from finite-depth unitaries, measurement, and feedforward

N Tantivasadakarn, A Vishwanath, R Verresen - PRX Quantum, 2023 - APS
Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …

Long-range entanglement from measuring symmetry-protected topological phases

N Tantivasadakarn, R Thorngren, A Vishwanath… - Physical Review X, 2024 - APS
A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …