منابع مشابه
Playing with Fidelities
The notion of partial fidelities as invented recently by A.Uhlmann for pairs of finite dimensional density matrices will be extended to the vNalgebraic context and is considered and thoroughly discussed in detail from a mathematical point of view. Especially, in the case of semifinite vN-algebras formulae and estimates for the partial fidelity between the functionals of a dense cone of inner de...
متن کاملOn Partial Fidelities
For pairs of density operators on finite dimensional Hilbert spaces we define partial fidelities, prove their concavity and other properties. Partial fidelities characterize equivalence classes which are partially ordered in a natural way.
متن کاملReconciling cloning fidelities
Much literature is available on developing a theoretical framework for Quantum Cloning, however there is no significant bridge between how recent definitions of fidelity in the framework of optical implementations of cloning [1] are related to the theoretical density matrix representation. A simple expression for an experimental measurement of fidelity is proposed in this paper based upon previ...
متن کاملError Estimates for General Fidelities
Appropriate error estimation for regularization methods in imaging and inverse problems is of enormous importance for controlling approximation properties and understanding types of solutions that are particularly favoured. In the case of linear problems, i.e., variational methods with quadratic fidelity and quadratic regularization, the error estimation is well-understood under so-called sourc...
متن کاملSome properties of partial fidelities
Basic properties of Uhlmann’s partial fidelities are discussed. Statistical interpretation in terms of POVM measurements is established. Multiplicativity properties are considered. The relationship between partial fidelities and partitioned trace distances is derived. As it is shown, the partial fidelities cannot decrease under unistochastic quantum operations. Thus, the partial fidelities have...
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ژورنال
عنوان ژورنال: The Iowa Review
سال: 1999
ISSN: 0021-065X,2330-0361
DOI: 10.17077/0021-065x.5219