江汉大学学报(自然科学版) ›› 2020, Vol. 48 ›› Issue (2): 14-20.doi: 10.16389/j.cnki.cn42-1737/n.2020.02.003

• 物理 • 上一篇    下一篇

一类两体量子态的量子失谐解析解

梅克辉,乔龙坤,胡晓莉*   

  1. 江汉大学 数学与计算机科学学院,湖北 武汉 430056
  • 发布日期:2020-04-22
  • 通讯作者: 胡晓莉
  • 作者简介:梅克辉(1996— ),男,研究方向:应用数学。
  • 基金资助:
    国家自然科学青年基金资助项目(11501251)

Analytical Solutions of Quantum Discord for a Class of Two Body Quantum State

MEI Kehui,QIAO Longkun,HU Xiaoli*   

  1. School of Mathematics and Computer Science, Jianghan University, Wuhan 430056, Hubei, China
  • Published:2020-04-22
  • Contact: HU Xiaoli

摘要: 量子失谐概念最先由Olliver和Zurek于2001年提出,它是除量子纠缠外量子态之间非常重要的一种量子关联。由于任意态之间的量子失谐计算往往非常复杂,导致目前关于两体量子态的量子失谐计算主要针对两体X-态,而对非X-态的研究较少。基于冯·诺依曼熵和经典关联,给出了一类带5 个参数的非X-型两体量子态的量子失谐表达式。通过将表达式转化为单变量函数,利用函数单调性,得出其显式的解析公式,并发现对一个已知的两体态都可以如此给出其量子失谐。

关键词: 量子失谐, 非X-型量子态, 解析解

Abstract: The concept of quantum discord was firstly proposed by Olliver and Zurek in 2001. It is a very important quantum correlation between quantum states except quantum entanglement. The analytical calculation of quantum discord between qubits is often very complicated, so the calculation of the quantum discord is mainly for the X-states, the studies for the non-X-states are very few. We presented analytical formulae of a class of non-X-states with five parameters based on Von Neumann entropy and classical correlation. We converted the formulea into a univariate function and used the monotonicity of the function to derive its analytical explicit formula. We found that the quantum discord can be computed in this way for a known two qubits.

Key words: quantum discord, non-X-state, analytical solution

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