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Group Actions and Monotone Metric Tensors: The Qubit Case

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URI: https://hdl.handle.net/10016/35829
ISBN: 978-303080208-0
DOI: https://doi.org/10.1007/978-3-030-80209-7_17
UXXI: CC/0000033125
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Group_LNICS_2021_cc_ps.pdf (475.97 KB)
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2021-07-21
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Springer
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Abstract
In recent works, a link between group actions and information metrics on the space of faithful quantum states has been highlighted in particular cases. In this contribution, we give a complete discussion of this instance for the particular case of the qubit.
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Bogoliubov-kubo-mori metric, Bures-helstrom metric, Lie algebra, Monotone metrics, Quantum information geometry, Two-level quantum system, Unitary group, Wigner-yanase metric
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Ciaglia, F. M. & Di Nocera, F. (2021b). Group Actions and Monotone Metric Tensors: The Qubit Case. Lecture Notes in Computer Science, 145-153.
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