Quantum Probability and Related Topics 2008
DOI: 10.1142/9789812835277_0012
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SCHRÖDINGER EQUATION, Lp-DUALITY AND THE GEOMETRY OF WIGNER-YANASE-DYSON INFORMATION

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“…The WYD(p) metrics are rather special among the quantum Fisher information(s): they are the only one that comes from the pull-back of a dualized pairing, which was proved in [ 14 ]. As specified in [ 15 ] one can look at this procedure as if we have quantum dynamics associated to a Schrödinger equation, which is embedded using two conjugated -embeddings. The final result of this procedure is exactly the WYD(p) metric.…”
Section: Problem 2 Geometrization Of Wyd-informentioning
confidence: 99%
“…The WYD(p) metrics are rather special among the quantum Fisher information(s): they are the only one that comes from the pull-back of a dualized pairing, which was proved in [ 14 ]. As specified in [ 15 ] one can look at this procedure as if we have quantum dynamics associated to a Schrödinger equation, which is embedded using two conjugated -embeddings. The final result of this procedure is exactly the WYD(p) metric.…”
Section: Problem 2 Geometrization Of Wyd-informentioning
confidence: 99%