Remote unambiguous discrimination of linearly independent symmetricd-level quantum states

2009 ◽  
Vol 42 (5) ◽  
pp. 055308
Author(s):  
Libing Chen ◽  
Yuhua Liu ◽  
Peng Tan ◽  
Hong Lu
Keyword(s):  
Quantum States ◽  
Unambiguous Discrimination ◽  
Linearly Independent

On impact of a priori classical knowledge of discriminated states on the optimal unambiguous discrimination

2008 ◽  
Vol 8 (10) ◽  
pp. 951-964
Author(s):  
M. Zhang ◽  
Z.-T. Zhou ◽  
H.-Y. Dai ◽  
D.-W. Hu
Keyword(s):  
A Priori ◽  
Quantum States ◽  
A Priori Knowledge ◽  
Single System ◽  
Heisenberg Uncertainty Principle ◽  
Unambiguous Discrimination ◽  
Fundamental Limitations ◽  
Heisenberg Uncertainty ◽  
Classical Knowledge ◽  
Priori Knowledge

Due to the fundamental limitations related to the Heisenberg uncertainty principle and the non-cloning theorem, it is impossible, even in principle, to determine the quantum state of a single system without a priori knowledge of it. To discriminate nonorthogonal quantum states in some optimal way, a priori knowledge of the discriminated states has to be relied upon. In this paper, we thoroughly investigate some impact of a priori classical knowledge of two quantum states on the optimal unambiguous discrimination. It is exemplified that a priori classical knowledge of the discriminated states, incomplete or complete, can be utilized to improve the optimal success probabilities, whereas the lack of a prior classical knowledge can not be compensated even by more resources.

Probabilistic deletion of copies of linearly independent quantum states

2002 ◽  
Vol 65 (5) ◽  
Author(s):  
Jian Feng ◽  
Yun-Feng Gao ◽  
Ji-Suo Wang ◽  
Ming-Sheng Zhan
Keyword(s):  
Quantum States ◽  
Linearly Independent
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