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In comparison at least five qubits are required for correcting arbitrary 1-qubit errors in standard quantum error correction.
Heisenberg's uncertainty principle is quantified by error-disturbance tradeoff relations, which have been tested experimentally in various scenarios.
Moreover, we provide a measure on the effect of the non-unitality of quantum processes on the infinitesimal non-divisibility.
When quantum measurements are performed on quantum states, classical probability distributions arise, which in turn lead to classical Fisher information.
In this article, we exploit the classical Fisher information induced by quantum measurements, and reveal a rich hierarchical structure of such measurement-induced Fisher information.
We establish a general framework for the distribution and transfer of the Fisher information.
In particular, we illustrate three extremal distribution types of the Fisher information: the locally owned type, the locally inaccessible type, and the fully shared type.
Furthermore, we indicate the significant role played by the distribution and flow of the Fisher information in some physical problems, e.g., the non-Markovianity of open quantum processes, the environment-assisted metrology, the cloning and broadcasting, etc.
It is well known that classical information can be cloned, but non-orthogonal quantum states cannot be cloned, and non-commuting quantum states cannot be broadcast.
Here we propose a new class of quantum bounds called quantum Weiss-Weinstein bounds, which include Cramér-Rao-type inequalities as special cases but can also be significantly tighter to the attainable error.
We demonstrate the superiority of our bounds through the derivation of a Heisenberg limit and phase-estimation examples.
For comparison, we also demonstrate the supremacy of our schemes over direct imaging for sub-Rayleigh separations.
These results demonstrate that simple linear optical measurements can offer supremal performances for both detection and estimation.
We then show that recently proposed linear-optic schemes approach the quantum Chernoff bound---the method of binary spatial-mode demultiplexing (B-SPADE) is quantum-optimal for all values of separation, while a method using image-inversion interferometry (SLIVER) is near-optimal for sub-Rayleigh separations.Tags: Adult Dating, affair dating, sex dating