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Titlebook: Quantum State Estimation; Matteo Paris,Jaroslav Řeháček Book 2004 Springer-Verlag Berlin Heidelberg 2004 Experiment.fundamental quantum me

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3 Maximum-Likelihood Methodsin Quantum Mechanics,n. For a given set of measurements, the most likely state is estimated. Though this problem is nonlinear, it can be effectively solved by an iterative algorithm exploiting the convexity of the likelihood functional and the manifold of density matrices. This formulation fully replaces the inverse Rad
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6 Quantum Tomography from Incomplete Data via , Principle,ta. This . reconstruction scheme can be in specific cases several orders of magnitude more efficient than the standard inverse Radon transformation or the reconstruction via direct sampling using pattern functions. We apply the MaxEnt algorithm for a reconstruction of motional quantum states of neut
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9 Quantum Operations on Qubitsand Their Characterization,s with quantum information. That is, an unknown state of a qubit cannot be precisely determined from a measurement performed on a finite ensemble of identically prepared qubits. As a consequence the perfect, universal cloning map is not allowed. Another map which cannot be performed perfectly on an
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11 Discrimination of Quantum States,ation and quantum computing. However, quantum mechanics puts severe limitations on our ability to determine the state of a quantum system. In particular, nonorthogonal states cannot be discriminated perfectly, even if they are known, and various strategies for optimum discrimination with respect to
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