!
You're viewing papers too quickly. Please wait a moment.<br>This helps keep the archive available for everyone.

Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence Quantum Simulation

The first-order Trotter decomposition in the dynamical-invariant basis

arXiv
Authors: Takuya Hatomura

Year

2023

Paper ID

55380

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

The Trotter decomposition is a basic approach to Hamiltonian simulation (digital quantum simulation). The first-order Trotter decomposition is the simplest one, whose deviations from target dynamics are of the first order of a small coefficient in terms of the infidelity. In this paper, we consider the first-order Trotter decomposition in the dynamical-invariant basis. By using a state-dependent inequality, we point out that deviations of this decomposition are of the second order of a small coefficient. Moreover, we also show that this decomposition includes a useful example, i.e., digital implementation of shortcuts to adiabaticity by counterdiabatic driving.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • The Trotter decomposition is a basic approach to Hamiltonian simulation (digital quantum simulation).

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2308.15100 [2] arXiv https://arxiv.org/abs/2308.15100 [3] Publisher https://arxiv.org/abs/2308.15100

Local Citation Graph (Related-Paper Links)

Current Paper #55380 #78846 Analog quantum simulation of Sh... #78810 Secure Quantum Handshakes: Quan... #78802 Quantum Co-Design of Inhomogene... #78801 Constructing Large and Structur...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.