Scholarlink

<p>We present an iterative algorithm based on semidefinite programming (SDP) for computing the quantum smooth max-mutual information <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(I^\varepsilon _{\max }(\rho _{AB})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>I</mi> <mo movablelimits="true">max</mo> <mi>ε</mi> </msubsup> <mrow> <mo stretchy="false">(</mo> <msub> <mi>ρ</mi> <mrow> <mi mathvariant="italic">AB</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> of bipartite quantum states in any dimension. The algorithm is accurate if a rank condition for marginal states within the smoothing environment is satisfied and provides an upper bound otherwise. Central to our method is a novel SDP, for which we establish primal and dual formulations and prove strong duality. With the direct application of bounding the one-shot distillable key of a quantum state, this contribution extends SDP-based techniques in quantum information theory. Thereby it improves the capabilities to compute or estimate information measures with application to various quantum information processing tasks.</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

Computation of the smooth max-mutual information via semidefinite programming

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年2月25日

查看全文
  • Christopher Popp,
  • Tobias C. Sutter,
  • Beatrix C. Hiesmayr

摘要

We present an iterative algorithm based on semidefinite programming (SDP) for computing the quantum smooth max-mutual information \(I^\varepsilon _{\max }(\rho _{AB})\) I max ε ( ρ AB ) of bipartite quantum states in any dimension. The algorithm is accurate if a rank condition for marginal states within the smoothing environment is satisfied and provides an upper bound otherwise. Central to our method is a novel SDP, for which we establish primal and dual formulations and prove strong duality. With the direct application of bounding the one-shot distillable key of a quantum state, this contribution extends SDP-based techniques in quantum information theory. Thereby it improves the capabilities to compute or estimate information measures with application to various quantum information processing tasks.