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Fisher Information as General Metrics of Quantum Synchronization
Quantum synchronization has emerged as a crucial phenomenon in quantum nonlinear dynamics with potential applications in quantum information processing. Multiple measures for quantifying quantum synchronization exist. However, there is currently no widely agreed metric that is universally adopted.
Yuan Shen +3 more
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We extend the speed limit of a distance between two states evolving by different generators for quantum systems [K. Suzuki and K. Takahashi, Phys. Rev. Res.
Kazutaka Takahashi, Yasuhiro Utsumi
doaj +1 more source
Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces
In this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization of both controlled metric-type spaces and tricomplex metric-type spaces.
Rajagopalan Ramaswamy +4 more
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Characterizing (non-)Markovianity through Fisher information
A non-isolated physical system typically loses information to its environment, and when such loss is irreversible the evolution is said to be Markovian.
Paolo Abiuso, Matteo Scandi, Dario De Santis, Jacopo Surace
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Smooth Metric Adjusted Skew Information Rates [PDF]
Metric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry.
Koji Yamaguchi, Hiroyasu Tajima
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The Volume of Two-Qubit States by Information Geometry
Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with ...
Milajiguli Rexiti +2 more
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Detection of image structures using the Fisher information and the Rao metric [PDF]
In many detection problems, the structures to be detected are parameterized by the points of a parameter space. If the conditional probability density function for the measurements is known, then detection can be achieved by sampling the parameter space ...
Maybank, Stephen J., S.J. Maybank
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Optical flow estimation using the Fisher–Rao metric [PDF]
Abstract The optical flow in an event camera is estimated using measurements in the address event representation (AER). Each measurement consists of a pixel address and the time at which a change in the pixel value equalled a given fixed threshold.
Stephen J. Maybank +3 more
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F-Geometry and Amari’s α-Geometry on a Statistical Manifold
In this paper, we introduce a geometry called F-geometry on a statistical manifold S using an embedding F of S into the space RX of random variables. Amari’s α-geometry is a special case of F-geometry.
Harsha K. V. +1 more
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Some related fixed point theorems for multivalued mappings on two metric spaces
The definition of related mappings was introduced by Fisher in 1981. He proved some theorems about the existence of fixed points of single valued mappings defined on two complete metric spaces and relations between these mappings.
Ö. Biçer +3 more
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