Si-Yuan Liu

Coherence depletion in the Grover quantum search algorithm

We investigate the role of quantum coherence depletion (QCD) in the Grover search algorithm (GA) by using several typical measures of quantum coherence and quantum correlations. By using the relative entropy of coherence measure (

General monogamy property of global quantum discord and the application

{\mathcal{C}}_{r}

Monogamy deficit for quantum correlations in a multipartite quantum system

), we show that the success probability depends on the QCD. The same phenomenon is also found by using the

Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms

{l}_{1}

Steering Bell-diagonal states

norm of coherence measure (

Global quantum discord and quantum phase transition in XY model

{\mathcal{C}}_{{l}_{1}}

Majorization Relation in Quantum Critical Systems

). In the limit case, the cost performance is defined to characterize the behavior about QCD in enhancing the success probability of GA, which is only related to the number of searcher items and the scale of the database, regardless of using

Role of coherence during classical and quantum decoherence

{\mathcal{C}}_{r}

Coherence as resource in scattering quantum walk search on complete graph

or

The sudden death and sudden birth of quantum discord

{\mathcal{C}}_{{l}_{1}}