2012/04/09 by Kabgyun Jeong, Jeong, Kabgyun
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Quantum Physics (quant-ph) #Random Matrices and Applications #Topological and Geometric Data Analysis #quant-ph
paper · pdf · doi:10.48550/arxiv.1204.1813
This paper has been withdrawn by the author due to a trivial result and crucial error in the definition 2
openalex publication_date 2012/04/09 · arxiv created 2014/12/12 · arxiv updated 2014/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we formularize a method for randomizing quantum states with respect to the Schatten p-norm (p≥1). Our theorem includes the Lemma 2.2 of Hayden and Winter [Commun. Math. Phys. \bf 284, 263--280 (2008)] for the norm case of p>1. We exploit the methods of a net construction on the unit sphere and McDiard's inequality in probability theory, and then we prove certain general cases (all p) of randomization tool for quantum states, which includes the operator norm and trace norm simultaneously in a single statement.