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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.22 No.9&10 July 2022 |
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Metric properties of alternative fidelities
(pp790-799)
Vu
The Khoi and Ho Minh Toan
doi:https://doi.org/10.26421/QIC22.9-10-5
Abstracts:
On the space of mixed quantum states,
several alternative
fidelities
have been proposed besides the standard
Uhlmann-Jozsa
fidelity. It has been known that several properties of the
Uhlmann-Jozsa
fidelity still hold true for these alternative
fidelities.
The aim of this paper is to give positive answers to some questions
about the metric properties of
functionals
of alternative quantum
fidelities
raised by Y. C.
Liang
{\it
et
al.}
in \cite{LYM}.
Our method is to use the non-negativity of the Gram determinant of three
vectors constructed from the quantum states to prove the triangle
inequality for the modified
Bures
angle.
Key Words:
quantum fidelity, metric
property, modified
Bures
angle, Gram matrix |
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