Generalized coherence vector applied to coherence transformations and quantifiers

A molecular perspective on quantum information

“…Nevertheless, these single-excitation states alone can be a useful resource. Coherent states, that include excitons, are potentially useful because they provide a resource for allowing quantum operations [23–25].…”

“…Nevertheless, these single-excitation states alone can be a useful resource. Coherent states, that include excitons, are potentially useful because they provide a resource for allowing quantum operations [23][24][25]. Molecular excitons are examples of coherent states that have been widely explored in the chemical context.…”

Coherence Resource Power of Isocoherent States

“…In general, for mixed states, a finite number of conditions are not sufficient to fully characterize coherent transformations 25 . From a generalized notion of coherence vector, it can be obtained a necessary condition in terms of a majorization relation 13 . However, qubit transformations under incoherent operations are completely characterized 26,27 .…”

Manipulating fermionic mode entanglement in the presence of superselection rules

“…Specifically, making use of the concept of majorization [6,7], Nielsen's theorem [8] provides the necessary and sufficient conditions for the transformations that take one given bipartite pure entangled state to another with a unit probability of success, where the allowed (i.e., free) operations are local operations and classical communication (LOCC). Following this pioneering work [8], majorization became a crucial instrument in several studies, such as entropic uncertainty relations [9][10][11], quantum algorithms [12][13][14], convertibility of resource states [15][16][17][18][19][20][21][22][23], and quantum thermodynamics [24][25][26][27][28].…”