



01404nas a2200133   4500008004100000245005700041210005500098260001500153490000600168520102800174100001301202700001801215856003701233       2018                        eng d00aTime-reversal of rank-one quantum strategy functions0 aTimereversal of rankone quantum strategy functions  c2018/01/250 v23 a<p><span style="font-family: &quot;Lucida Grande&quot;, helvetica, arial, verdana, sans-serif; font-size: 14.4px;">The quantum strategy (or quantum combs) framework is a useful tool for reasoning about interactions among entities that process and exchange quantum information over the course of multiple turns. We prove a time-reversal property for a class of linear functions, defined on quantum strategy representations within this framework, that corresponds to the set of rank-one positive semidefinite operators on a certain space. This time-reversal property states that the maximum value obtained by such a function over all valid quantum strategies is also obtained when the direction of time for the function is reversed, despite the fact that the strategies themselves are generally not time reversible. An application of this fact is an alternative proof of a known relationship between the conditional min- and max-entropy of bipartite quantum states, along with generalizations of this relationship.</span></p>1 aSu, Yuan1 aWatrous, John  uhttps://arxiv.org/abs/1801.08491