Unambiguous discrimination among three linearly independent symmetric states

We investigate the unambiguous discrimination (UD) among three linearly dependent (LD) symmetric states with [Formula: see text] copies. The optimal discrimination probability is derived. Our result shows that a set of linearly dependent symmetric states can be perfectly discriminated as the number of copies goes to infinity.

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Unambiguous discrimination of linearly independent pure quantum states: Optimal average probability of success

Physical Review A ◽

10.1103/physreva.90.030301 ◽

2014 ◽

Vol 90 (3) ◽

Cited By ~ 9

Author(s):

Somshubhro Bandyopadhyay

Keyword(s):

Quantum States ◽

Unambiguous Discrimination ◽

Linearly Independent ◽

Probability Of Success ◽

Average Probability ◽

Optimal Average

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Productly linearly independent sequences

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/012.2015.52.3.1315 ◽

2015 ◽

Vol 52 (3) ◽

pp. 350-370

Author(s):

Jaroslav Hančl ◽

Katarína Korčeková ◽

Lukáš Novotný

Keyword(s):

Rational Numbers ◽

Infinite Products ◽

Linearly Independent ◽

New Concepts ◽

Infinite Sequences

We introduce the two new concepts, productly linearly independent sequences and productly irrational sequences. Then we prove a criterion for which certain infinite sequences of rational numbers are productly linearly independent. As a consequence we obtain a criterion for the irrationality of infinite products and a criterion for a sequence to be productly irrational.

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Holomorphically projective mappings between generalized m-parabolic Kähler manifolds

Filomat ◽

10.2298/fil1715865p ◽

2017 ◽

Vol 31 (15) ◽

pp. 4865-4873 ◽

Cited By ~ 1

Author(s):

Milos Petrovic

Keyword(s):

Linear Systems ◽

Kähler Manifolds ◽

Kahler Manifolds ◽

Covariant Derivatives ◽

Linearly Independent ◽

Non Linear ◽

Non Linear Systems ◽

Curvature Tensors ◽

Derivatives Of

Generalized m-parabolic K?hler manifolds are defined and holomorphically projective mappings between such manifolds have been considered. Two non-linear systems of PDE?s in covariant derivatives of the first and second kind for the existence of such mappings are given. Also, relations between five linearly independent curvature tensors of generalized m-parabolic K?hler manifolds with respect to these mappings are examined.

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