Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0410073 · Physics Letters A

Unambiguous discrimination of mixed quantum states

Chi Zhang, Yuan Feng, Mingsheng Ying

Published Jan 7, 2006• 18 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2005.12.097

Related papers

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

Daowen Qiu, Hongfeng Gan, Guangya Cai +1 more

Lecture notes in computer science•Jan 1, 2018•0 citations

Unambiguous discrimination between mixed quantum states (4 pages)

Runyao Duan, Feng Yun Yu, Mingsheng Ying

Physical Review A•Jan 1, 2004•5 citations

Unambiguous discrimination between mixed quantum states based on programmable quantum state discriminators

Hongfeng Gan, Daowen Qiu

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.

arXiv:0705.1564•May 10, 2007•0 citations

Unambiguous discrimination between linearly independent quantum states

Anthony Chefles

arXiv:quant-ph/9807022•Physics Letters A•Mar 1, 1998•396 citations

Unambiguous discrimination between mixed quantum states

Yuan Feng, Runyao Duan, Mingsheng Ying

We prove that the states secretly chosen from a mixed state set can be perfectly discriminated if and only if they are orthogonal. The sufficient and necessary condition under which nonorthogonal mixed quantum states can be unambiguously discriminated is also presented. Furthermore, we derive a series of lower bounds on the inconclusive probability of unambiguous discrimination of states from a mixed state set with a priori probabilities.

arXiv:quant-ph/0403147•Physical Review A•Jul 14, 2004•93 citations

Unambiguous discrimination between two rank-2 mixed quantum states

Mihailo Stojnic, Babak Hassibi

In this paper we consider the problem of the optimal quantum unambiguous detection between two mixed quantum states. More specifically, we consider two mixed quantum states of rank 2 which lie in a Hilbert space of dimension 4. Using duality theory we explicitly characterize the optimal measurement operators. Furthermore, as a by-product of our framework we obtain a closed form solution of unambiguous discrimination between a pure and a mixed quantum state.

IEEE International Symposium on Information Theory (ISIT)•Jun 1, 2007•1 citation
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.