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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …