A Robertson-type 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...
متن کاملQuantum covariance , quantum Fisher information and the uncertainty principle
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...
متن کاملGeneralized Uncertainty Principle and Quantum
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...
متن کاملA Generalized Uncertainty Principle in Quantum Gravity
We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find a generalized uncertainty principle which agrees with a similar result obtained in the framework of string theories. The result indicates that a minimum length of the order of the Planck length emerges natu...
متن کاملFisher information in quantum statistics
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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2008
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.10.013