Pith. sign in

REVIEW 4 cited by

An inequality for the trace of matrix products, using absolute values

Not yet reviewed by Pith; the record is open.

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 1106.6189 v2 pith:ILT6SEM4 submitted 2011-06-30 math-ph math.MP

An inequality for the trace of matrix products, using absolute values

classification math-ph math.MP
keywords absoluteinequalitymatrixproductstraceapplicationgivegives
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

The absolute value of matrices is used in order to give inequalities for the trace of products. An application gives a very short proof of the tracial matrix Hoelder inequality

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

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

  1. Towards Minimax Estimation of High-Order Functionals by Quantum Arguments

    quant-ph 2026-07 accept novelty 8.0

    Quantum-inspired estimators for F_alpha(P) and F_alpha(rho) achieve optimal sample complexity n ~ alpha and minimax MSE rate alpha/n, improving prior O(alpha^2) bounds.

  2. Efficient and SPAM-Robust Ansatz-Free Lindbladian Learning

    quant-ph 2026-06 unverdicted novelty 8.0

    An ansatz-free Lindbladian learning algorithm via Bell sampling with a SPAM-robust extension for gauge-independent parts of sparse Lindbladians under constant noise.

  3. Spectral gap of Lee-Yang Hamiltonians

    quant-ph 2026-07 accept novelty 7.0

    Any Lee-Yang Hamiltonian plus uniform Z-field h has nondegenerate ground state with spectral gap at least h/4, independent of system size.

  4. Quantum speed limit for observables from quantum asymmetry

    quant-ph 2025-11 unverdicted novelty 5.0

    A quantum speed limit for observables is formulated from the trace-norm asymmetry of the time-dependent state, observable through weak measurements and bounding the quantum Fisher information for the conjugate parameter.