… of this coherence measure, we will study the average as well as the maximal coherence with
… We will reveal a remarkable phenomenon for coherence in generic cases: The difference …

… the maximal coherence, we mean that its coherence cannot … , but it is not necessary to be
maximally coherent [18]. In fact, … s of coherent state τ consumed for preparing ρ on average. It …

… coherence quantifier based on maximum relative entropy. We prove that the maximum relative
entropy of coherence … a proper coherence measure as it may increase on average under …

… the f entropy also reaches the minimum zero, while the purity reaches the maximum 1, and
the average coherence reaches the maximum 1/3. Now, we proceed to discuss relations and …

… We find that given the average energy constraints, the relative entropy of … Compared
with the maximal coherent state for d = 2, we show in Fig. 2(b) the relative entropies of …

… We also find the sufficient and necessary condition for the null maximal extra average
coherence. Some examples demonstrate the relation and, moreover, show that quantum …

… We also find the maximal achievable coherence under the … , we compare the maximal
coherence and the maximal total … on average to create the maximal amount of coherence. Let …

… The coherence number is the smallest possible maximal co… to a definition of ensemble
average fidelity, which captures the … for considering the average fidelity coherence. In addition, …

… ; phase coherence (PC) and magnitude-squared coherence (MSC) are the statistics most
commonly … of 200 sweeps each, as well as a grand average AEP containing all 2000 sweeps. …

… The square of the first-order coherence is equivalent to the sum of the squares of … maximal
average fidelity. Testing the first-order coherence, steering violations, and maximal average …