• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Information Theory >Multipartite Entangled States, Symmetric Matrices, and Error-Correcting Codes
【24h】

Multipartite Entangled States, Symmetric Matrices, and Error-Correcting Codes

机译：多部分纠缠态，对称矩阵和纠错码

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A pure quantum state is called -uniform if all its reductions to -qudit are maximally mixed. We investigate the general constructions of -uniform pure quantum states of subsystems with levels. We provide one construction via symmetric matrices and the second one through the classical error-correcting codes. There are three main results arising from our constructions. First, we show that for any given even , there always exists an -uniform -qudit quantum state of level for sufficiently large prime . Second, both constructions show that there exist -uniform -qudit pure quantum states such that is proportional to , i.e., although the construction from symmetric matrices in general outperforms the one by error-correcting codes. Third, our symmetric matrix construction provides a positive answer to the open question on whether there exists a 3-uniform -qudit pure quantum state for all . In fact, we can further prove that, for every , there exists a constant such that there exists a -uniform -qudit quantum state for all . In addition, by using the concatenation of algebraic geometry codes, we give an explicit construction of -uniform quantum state when tends to infinity.
机译：如果将其对-qudit的所有还原都最大程度地混合，则纯量子态称为-均匀。我们研究具有水平的子系统的-均匀纯量子态的一般构造。我们通过对称矩阵提供一种构造，通过经典的纠错码提供第二种构造。我们的构造产生了三个主要结果。首先，我们证明对于任何给定的偶数，对于足够大的素数，总会存在一个均匀的量子级态。其次，两种结构都表明存在-均等-的纯量子态，它们与成正比，即，尽管通常由对称矩阵进行的结构在纠错码方面优于一种。第三，我们的对称矩阵构造为所有是否存在3均匀量子纯量子态的开放性问题提供了肯定的答案。实际上，我们可以进一步证明，对于每一个，存在一个常数，使得对所有人都存在一个-均匀-量子态。此外，通过使用代数几何代码的级联，当趋于无穷大时，我们给出了-均匀量子态的显式构造。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号