Fidelity of Mobius matrices related with Lorentz boosts
Kim, Sejong
Original · EN
In this article we consider the extended version of a real counterpart of qubit density matrices, called the Möbius matrix, and we see that it is a normalized Lorentz boost. Using the isomorphic gyrogroup structures between the set of all Lorentz boosts and the Einstein gyrogroup on the open unit ball of ⁿ we give an explicit formula of the fidelity for Möbius matrices in terms of Lorentz gamma factors.
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