Optimum measurements for discrimination among symmetric quantum states and parameter estimation

1997 ◽  
Vol 36 (6) ◽  
pp. 1269-1288 ◽  
Author(s):  
Masashi Ban ◽  
Keiko Kurokawa ◽  
Rei Momose ◽  
Osamu Hirota
Keyword(s):  
Parameter Estimation ◽  
Quantum States ◽  
Symmetric Quantum

scholarly journals Efficient optimal minimum error discrimination of symmetric quantum states

2010 ◽  
Vol 81 (1) ◽  
Author(s):  
Antonio Assalini ◽  
Gianfranco Cariolaro ◽  
Gianfranco Pierobon
Keyword(s):  
Quantum States ◽  
Minimum Error ◽  
Symmetric Quantum

NONLOCAL MEASUREMENTS IN THE TIME-SYMMETRIC QUANTUM MECHANICS

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1528-1535 ◽  
Author(s):  
LEV VAIDMAN ◽  
IZHAR NEVO
Keyword(s):  
Quantum Mechanics ◽  
Quantum Systems ◽  
Quantum Measurements ◽  
Quantum States ◽  
Standard Quantum ◽  
Time Direction ◽  
Quantum Formalism ◽  
Symmetric Quantum ◽  
Time Symmetric Quantum Mechanics

Although for some nonlocal variables the standard quantum measurements which are reliable, instantaneous, and nondemolition, are impossible, demolition reliable instantaneous measurements of all variables are possible. It is shown that this is correct also in the framework of the time-symmetric quantum formalism, i.e. nonlocal variables of composite quantum systems with quantum states evolving both forward and backward in time are measurable in a demolition way. The result follows from the possibility to reverse with certainty the time direction of backward evolving quantum states.

scholarly journals Remote State Design for Efficient Quantum Metrology with Separable and Non-Teleporting States

2021 ◽  
Vol 3 (1) ◽  
pp. 228-241
Author(s):  
Rahul Raj ◽  
Shreya Banerjee ◽  
Prasanta K. Panigrahi
Keyword(s):  
Parameter Estimation ◽  
Quantum Information ◽  
Fisher Information ◽  
Quantum Information Processing ◽  
Quantum Fisher Information ◽  
Quantum Correlations ◽  
Quantum States ◽  
Quantum Metrology ◽  
High Quantum ◽  
Non Local

Measurements leading to the collapse of states and the non-local quantum correlations are the key to all applications of quantum mechanics as well as in the studies of quantum foundation. The former is crucial for quantum parameter estimation, which is greatly affected by the physical environment and the measurement scheme itself. Its quantification is necessary to find efficient measurement schemes and circumvent the non-desirable environmental effects. This has led to the intense investigation of quantum metrology, extending the Cramér–Rao bound to the quantum domain through quantum Fisher information. Among all quantum states, the separable ones have the least quantumness; being devoid of the fragile non-local correlations, the component states remain unaffected in local operations performed by any of the parties. Therefore, using these states for the remote design of quantum states with high quantum Fisher information can have diverse applications in quantum information processing; accurate parameter estimation being a prominent example, as the quantum information extraction solely depends on it. Here, we demonstrate that these separable states with the least quantumness can be made extremely useful in parameter estimation tasks, and further show even in the case of the shared channel inflicted with the amplitude damping noise and phase flip noise, there is a gain in Quantum Fisher information (QFI). We subsequently pointed out that the symmetric W states, incapable of perfectly teleporting an unknown quantum state, are highly effective for remotely designing quantum states with high quantum Fisher information.

scholarly journals Pairwise concurrence in cyclically symmetric quantum states

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Alexander Meill ◽  
David A. Meyer
Keyword(s):  
Quantum States ◽  
Symmetric Quantum

Minimum-Bayes-cost discrimination for symmetric quantum states

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
Kenji Nakahira ◽  
Tsuyoshi Sasaki Usuda
Keyword(s):  
Quantum States ◽  
Symmetric Quantum ◽  
Bayes Cost

scholarly journals Weaving and neural complexity in symmetric quantum states

2018 ◽  
Vol 413 ◽  
pp. 157-161 ◽  
Author(s):  
Cristian E. Susa ◽  
Davide Girolami
Keyword(s):  
Quantum States ◽  
Symmetric Quantum
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