Scholarlink

<p>Entanglement distillation is a key task in quantum-information processing. In this paper, we distill non-positive-partial-transpose (NPT) bipartite states of some given Schmidt rank and matrix rank. We show that all bipartite states of Schmidt rank two are locally equivalent to classical-classical states, and all bipartite states of Schmidt rank three are 1-undistillable. Subsequently, we show that low-rank B-irreducible NPT states are distillable for large-rank reduced density operators by proving low-rank B-irreducible NPT state whose range contains a product vector is distillable. Eventually, we present an equivalent condition to distill <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(M\times N\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mo>×</mo> <mi>N</mi> </mrow> </math></EquationSource> </InlineEquation> bipartite states of rank <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\max \{M,N\}+1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo movablelimits="true">max</mo> <mo stretchy="false">{</mo> <mi>M</mi> <mo>,</mo> <mi>N</mi> <mo stretchy="false">}</mo> <mo>+</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>.</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

Entanglement distillation in terms of Schmidt rank and matrix rank

  • 期刊论文

  • 发表日期：

    2025年12月4日

查看全文
  • Tianyi Ding,
  • Lin Chen,
  • Liang Sun,
  • Mengfan Liang

摘要

Entanglement distillation is a key task in quantum-information processing. In this paper, we distill non-positive-partial-transpose (NPT) bipartite states of some given Schmidt rank and matrix rank. We show that all bipartite states of Schmidt rank two are locally equivalent to classical-classical states, and all bipartite states of Schmidt rank three are 1-undistillable. Subsequently, we show that low-rank B-irreducible NPT states are distillable for large-rank reduced density operators by proving low-rank B-irreducible NPT state whose range contains a product vector is distillable. Eventually, we present an equivalent condition to distill \(M\times N\) M × N bipartite states of rank \(\max \{M,N\}+1\) max { M , N } + 1 .