Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C∗-Algebras
A geometrical formulation of estimation theory for finite-dimensional C∗-algebras is
presented. This formulation allows to deal with the classical and quantum case in a single …
presented. This formulation allows to deal with the classical and quantum case in a single …
Monotone metric tensors in quantum information geometry
In this paper, we review some geometrical aspects pertaining to the world of monotone
quantum metrics in finite dimensions. Particular emphasis is given to an unfolded …
quantum metrics in finite dimensions. Particular emphasis is given to an unfolded …
Non-monotone metric on the quantum parametric model
J Suzuki - The European Physical Journal Plus, 2021 - Springer
In this paper, we study a family of quantum Fisher metrics based on a convex mixture of two
well-known inner products, which covers the well-known symmetric logarithmic derivative …
well-known inner products, which covers the well-known symmetric logarithmic derivative …
A geometrical description of non-Hermitian dynamics: speed limits in finite rank density operators
Non-Hermitian dynamics in quantum systems preserves the rank of the state density
operator. We use this insight to develop its geometrical description. In particular, we identify …
operator. We use this insight to develop its geometrical description. In particular, we identify …
Group actions and monotone quantum metric tensors
Mathematics | Free Full-Text | Group Actions and Monotone Quantum Metric Tensors Next
Article in Journal Dynamic Analysis of a Piezoelectrically Layered Perforated Nonlocal Strain …
Article in Journal Dynamic Analysis of a Piezoelectrically Layered Perforated Nonlocal Strain …
[HTML][HTML] Parameter-free description of the manifold of non-degenerate density matrices
J Naudts - The European Physical Journal Plus, 2021 - Springer
The paper gives a definition of exponential arcs in the manifold of non-degenerate density
matrices and uses it as a starting point to develop a parameter-free version of non …
matrices and uses it as a starting point to develop a parameter-free version of non …
The categorical foundations of quantum information theory: Categories and the Cramer–Rao inequality
An extension of Cencov's categorical description of classical inference theory to the domain
of quantum systems is presented. It provides a novel categorical foundation to the theory of …
of quantum systems is presented. It provides a novel categorical foundation to the theory of …
G-dual teleparallel connections in Information Geometry
Given a real, finite-dimensional, smooth parallelizable Riemannian manifold (N, G)
endowed with a teleparallel connection∇ determined by a choice of a global basis of vector …
endowed with a teleparallel connection∇ determined by a choice of a global basis of vector …
Group actions and monotone metric tensors: The qubit case
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Poisson bracket operator
T Koide - Physical Review A, 2021 - APS
We introduce the Poisson bracket operator, which is an alternative quantum counterpart of
the Poisson bracket. This operator is defined using the operator derivative formulated in …
the Poisson bracket. This operator is defined using the operator derivative formulated in …