Quantum f-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces

详细信息    查看全文

• 作者：Dá ; niel Virosztek^a ; ^b ; ^{virosz@math.bme.hu" class="auth_mail" title="E-mail the corresponding author} ;
• 关键词：47B49 ; 46N50
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 July 2016
• 年：2016
• 卷：501
• 期：Complete
• 页码：242-253
• 全文大小：305 K

文摘

We determine the structure of all bijections on the cone of positive semidefinite operators which preserve the quantum f-divergence for an arbitrary strictly convex function f defined on the positive halfline. It turns out that any such transformation is implemented by either a unitary or an antiunitary operator.