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

scholarly journals AN ALGORITHM TO PERFORM POVMS THROUGH NEUMARK THEOREM: APPLICATION TO THE DISCRIMINATION OF NON-ORTHOGONAL PURE QUANTUM STATES

2006 ◽  
Vol 17 (08) ◽  
pp. 1203-1218 ◽  
Author(s):  
WILSON R. M. RABELO ◽  
ALEXANDRE G. RODRIGUES ◽  
REINALDO O. VIANNA
Keyword(s):  
Detection Probability ◽  
Unitary Transformation ◽  
Quantum States ◽  
Von Neumann ◽  
Rotation Matrices ◽  
Final Configuration ◽  
State Discrimination ◽  
Norm Minimization ◽  
Linearly Independent ◽  
The Matrix

We consider a protocol to perform the optimal quantum state discrimination of N linearly independent non-orthogonal pure quantum states and present a computational code. Through the extension of the original Hilbert space, it is possible to perform an unitary operation yielding a final configuration, which gives the best discrimination without ambiguity by means of von Neumann measurements. Our goal is to introduce a detailed general mathematical procedure to realize this task by means of semidefinite programming and norm minimization. The former is used to fix which is the best detection probability amplitude for each state of the ensemble. The latter determines the matrix which leads the states to the final configuration. In a final step, we decompose the unitary transformation in a sequence of two-level rotation matrices.

Can copies of linearly independent quantum states be deleted?

2002 ◽  
Author(s):  
Jian Feng ◽  
Jisuo Wang ◽  
Yun-Feng Gao ◽  
Ming-Sheng Zhan
Keyword(s):  
Quantum States ◽  
Linearly Independent
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