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 …

Quantum computational complexity from quantum information to black holes and back

S Chapman, G Policastro - The European Physical Journal C, 2022 - Springer
Quantum computational complexity estimates the difficulty of constructing quantum states
from elementary operations, a problem of prime importance for quantum computation …

General methods for digital quantum simulation of gauge theories

H Lamm, S Lawrence, Y Yamauchi… - Physical Review D, 2019 - APS
A general scheme is presented for simulating gauge theories, with matter fields, on a digital
quantum computer. A Trotterized time-evolution operator that respects gauge symmetry is …

Circuit complexity in interacting QFTs and RG flows

A Bhattacharyya, A Shekar, A Sinha - Journal of High Energy Physics, 2018 - Springer
We consider circuit complexity in certain interacting scalar quantum field theories, mainly
focusing on the ϕ 4theory. We work out the circuit complexity for evolving from a nearly …

Holographic tensor network models and quantum error correction: a topical review

A Jahn, J Eisert - Quantum Science and Technology, 2021 - iopscience.iop.org
Recent progress in studies of holographic dualities, originally motivated by insights from
string theory, has led to a confluence with concepts and techniques from quantum …

Holographic spacetimes as quantum circuits of path-integrations

T Takayanagi - Journal of High Energy Physics, 2018 - Springer
A bstract We propose that holographic spacetimes can be regarded as collections of
quantum circuits based on path-integrals. We relate a codimension one surface in a gravity …

Renormalized circuit complexity

A Bhattacharyya, P Nandy, A Sinha - Physical Review Letters, 2020 - APS
We propose a modification to Nielsen's circuit complexity for Hamiltonian simulation using
the Suzuki-Trotter (ST) method, which provides a network like structure for the quantum …

Renormalization group flow as optimal transport

J Cotler, S Rezchikov - Physical Review D, 2023 - APS
We establish that Polchinski's equation for exact renormalization group (RG) flow is
equivalent to the optimal transport gradient flow of a field-theoretic relative entropy. This …

Holographic path-integral optimization

J Boruch, P Caputa, D Ge, T Takayanagi - Journal of High Energy Physics, 2021 - Springer
A bstract In this work we elaborate on holographic description of the path-integral
optimization in conformal field theories (CFT) using Hartle-Hawking wave functions in Anti …

Continuous tensor network states for quantum fields

A Tilloy, JI Cirac - Physical Review X, 2019 - APS
We introduce a new class of states for bosonic quantum fields which extend tensor network
states to the continuum and generalize continuous matrix product states to spatial …