!
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

Dynamical error bounds for continuum discretisation via Gauss quadrature rules, - a Lieb-Robinson bound approach

arXiv
Authors: Mischa P. Woods, Martin B. Plenio

Year

2015

Paper ID

27557

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

Instances of discrete quantum systems coupled to a continuum of oscillators are ubiquitous in physics. Often the continua are approximated by a discrete set of modes. We derive analytical error bounds on expectation values of system observables that have been time evolved under such discretised Hamiltonians. These bounds take on the form of a function of time and the number of discrete modes, where the discrete modes are chosen according to Gauss quadrature rules. The derivation makes use of tools from the field of Lieb-Robinson bounds and the theory of orthonormal polynominals.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • Instances of discrete quantum systems coupled to a continuum of oscillators are ubiquitous in physics.

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:1508.07354 [2] arXiv https://arxiv.org/abs/1508.07354 [3] Publisher https://arxiv.org/abs/1508.07354

Local Citation Graph (Related-Paper Links)

Current Paper #27557 #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.