Ad
related to: hermitian trace preserving map template maker 2 free download for mac
Search results
Results From The WOW.Com Content Network
In order that a quantum operation preserve the set of density matrices, we need the additional assumption that it is trace-preserving. In the context of quantum information, the quantum operations defined here, i.e. completely positive maps that do not increase the trace, are also called quantum channels or stochastic maps. The formulation here ...
Terminologically, quantum channels are completely positive (CP) trace-preserving maps between spaces of operators. In other words, a quantum channel is just a quantum operation viewed not merely as the reduced dynamics of a system but as a pipeline intended to carry quantum information. (Some authors use the term "quantum operation" to include ...
Choi's technique can be used to obtain a similar result for a more general class of maps. Φ is said to be Hermitian-preserving if A is Hermitian implies Φ(A) is also Hermitian. One can show Φ is Hermitian-preserving if and only if it is of the form = =
Positive maps are monotone, i.e. () for all self-adjoint elements ,. Since ‖ ‖ ‖ ‖ for all self-adjoint elements , every positive map is automatically continuous with respect to the C*-norms and its operator norm equals ‖ ‖.
Let denote the space of Hermitian matrices, + denote the set consisting of positive semi-definite Hermitian matrices and + + denote the set of positive definite Hermitian matrices. For operators on an infinite dimensional Hilbert space we require that they be trace class and self-adjoint , in which case similar definitions apply, but we discuss ...
The Hermitian Laplacian matrix is a key tool in this context, as it is used to analyze the spectra of mixed graphs. [4] The Hermitian-adjacency matrix of a mixed graph is another important concept, as it is a Hermitian matrix that plays a role in studying the energies of mixed graphs. [5]
If the template has a separate documentation page (usually called "Template:template name/doc"), add [[Category:Map templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Map templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last ...
A quantum depolarizing channel is a model for quantum noise in quantum systems. The -dimensional depolarizing channel can be viewed as a completely positive trace-preserving map, depending on one parameter , which maps a state onto a linear combination of itself and the maximally mixed state,
Ad
related to: hermitian trace preserving map template maker 2 free download for macnulab.com has been visited by 10K+ users in the past month