| 词条 | Lieb conjecture |
| 释义 |
In quantum information theory, the Lieb conjecture is a theorem concerning the Wehrl entropy of quantum systems for which the classical phase space is a sphere. It states that no state of such a system has a lower Wehrl entropy than the SU(2) coherent states. The analogous property for quantum systems for which the classical phase space is a plane was conjectured by Alfred Wehrl in 1978 and proven soon afterwards by Elliott H. Lieb,[1] who at the same time extended it to the SU(2) case. The conjecture was only proven in 2012, by Lieb and Jan Philip Solovej.[2] References1. ^{{cite journal|last1=Lieb|first1=Elliott H.|title=Proof of an entropy conjecture of Wehrl|journal=Communications in Mathematical Physics|date=August 1978|volume=62|issue=1|pages=35–41|doi=10.1007/BF01940328|bibcode=1978CMaPh..62...35L}} 2. ^{{cite journal|last1=Lieb|first1=Elliott H.|last2=Solovej|first2=Jan Philip|title=Proof of an entropy conjecture for Bloch coherent spin states and its generalizations|journal=Acta Mathematica|date=17 May 2014|volume=212|issue=2|pages=379–398|doi=10.1007/s11511-014-0113-6|arxiv=1208.3632}} External links
2 : Quantum mechanical entropy|Conjectures that have been proved |
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