Uncertainty principle and quantum Fisher information
نویسندگان
چکیده
منابع مشابه
Quantum Fisher Information and Uncertainty Principle
Recently S. Luo and Q. Zhang proved a different kind of uncertainty principle (see [3], Theorem 2), in the SchrNodinger form, where the lower bound appears because the variables A,B are not commuting with the state ρ (in contrast with standard uncertainty principle where the bound depends on the commutator [A,B]). This result was conjectured by S. Luo himself and Z. Zhang in a previous paper [4...
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In this paper the relation between quantum covariances and quantum Fisher informations are studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given here considerably simplifies the previously proposed proofs and leads to more general inequalities. 2000Mathematics Subject Classification. Primary 62B10, 94A17; Seconda...
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In the present work the role that a generalized uncertainty principle could play in the quantization of the electromagnetic field is analyzed. It will be shown that we may speak of a Fock space, a result that implies that the concept of photon is properly defined. Nevertheless, in this new context the creation and annihilation operators become a function of the new term that modifies the Heisen...
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Braunstein and Caves (Braunstein S L and Caves C M 1994 Phys. Rev. Lett. 72 3439– 43) proposed to use Helstrom’s quantum information number to define, meaningfully, a metric on the set of all possible states of a given quantum system. They showed that the quantum information is nothing other than the maximal Fisher information in a measurement of the quantum system, maximized over all possible ...
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The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions parametrized by a function. In physical applications the minimal is the most popular. There is a one-to-one correspondence between Fisher informations (called als...
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ژورنال
عنوان ژورنال: Annals of the Institute of Statistical Mathematics
سال: 2006
ISSN: 0020-3157,1572-9052
DOI: 10.1007/s10463-006-0103-3