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Unambiguous Discrimination Between Mixed Quantum States Based on Programmable Quantum State Discriminators

  • Daowen Qiu
  • Hongfeng Gan
  • Guangya Cai
  • Mateus Paulo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10956)

Abstract

We discuss the problem of designing an unambiguous programmable discriminator for mixed quantum states. We prove that there does not exist such a universal unambiguous programmable discriminator for mixed quantum states that has two program registers and one data register. However, we find that we can use the idea of programmable discriminator to unambiguously discriminate mixed quantum states. The research shows that by using such an idea, when the success probability for discrimination reaches the upper bound, the success probability is better than what we do not use the idea to do, except for some special cases.

Keywords

Unambiguous discrimination Mixed quantum state Programmable discriminator 

Notes

Acknowledgement

This work is supported in part by the National Natural Science Foundation (Nos. 61572532, 61272058), the Natural Science Foundation of Guangdong Province of China (No. 2017B030311011), and the Fundamental Research Funds for the Central Universities of China (Nos. 17lgjc24) and Mateus and Qiu are also funded by FCT project UID/EEA/50008/2013.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Daowen Qiu
    • 1
    • 2
  • Hongfeng Gan
    • 1
  • Guangya Cai
    • 1
  • Mateus Paulo
    • 2
  1. 1.Institute of Computer Science Theory, School of Data and Computer ScienceSun Yat-Sen UniversityGuangzhouChina
  2. 2.Instituto de Telecomunicações, Departamento de MatemáticaInstituto Superior TécnicLisbonPortugal

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