Scholarlink

<p>The main result of this work shows that Bohnenblust–Hille inequality for <i>m</i>-homogeneous polynomials holds with constant one when the infinity norm is replaced by the completely bounded norm. Moreover, we show that this inequality finds some interesting consequences in quantum learning theory. In the second part of this paper, we broaden our investigation of the Bohnenblust–Hille inequality to other contexts. In particular, we extend recent results by Volberg and Zhang, demonstrating its applicability within a framework we have termed “Learning Low-Degree Quantum Objects”.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A cb-Bohnenblust–Hille inequality with constant one and its applications in learning theory

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月6日

查看全文
  • Srinivasan Arunachalam,
  • Arkopal Dutt,
  • Francisco Escudero Gutiérrez,
  • Carlos Palazuelos

摘要

The main result of this work shows that Bohnenblust–Hille inequality for m-homogeneous polynomials holds with constant one when the infinity norm is replaced by the completely bounded norm. Moreover, we show that this inequality finds some interesting consequences in quantum learning theory. In the second part of this paper, we broaden our investigation of the Bohnenblust–Hille inequality to other contexts. In particular, we extend recent results by Volberg and Zhang, demonstrating its applicability within a framework we have termed “Learning Low-Degree Quantum Objects”.