Kraus is King: High-order Completely Positive and Trace Preserving (CPTP) Low Rank Method for the Lindblad Master Equation

Daniel Appelo; Yingda Cheng

Kraus is King: High-order Completely Positive and Trace Preserving (CPTP) Low Rank Method for the Lindblad Master Equation

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2409.08898 v2 pith:A4FLKKR4 submitted 2024-09-13 math.NA cs.NAquant-ph

Kraus is King: High-order Completely Positive and Trace Preserving (CPTP) Low Rank Method for the Lindblad Master Equation

Daniel Appelo , Yingda Cheng This is my paper

classification math.NA cs.NAquant-ph

keywords equationlindbladmethodspreservingrankstructuretraceaccurate

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We design high order accurate methods that exploit low rank structure in the density matrix while respecting the essential structure of the Lindblad equation. Our methods preserves complete positivity and are trace preserving.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Calculus of Robinet: completely positive reconstruction of time-averaged diffusive quantum trajectories
quant-ph 2026-07 accept novelty 7.0

A completely-positive numerical method computes the optimal time-averaged (Robinet) quantum trajectory from a system–transmission-line dilation to arbitrarily high order, plus a proof that finitely many extra binned r...