Abstract
Recent progress in resource theory of quantum coherence has resulted in measures to quantify coherence in quantum systems. Especially, the l1-norm and relative entropy of coherence have been shown to be proper quantifiers of coherence and have been used to investigate coherence properties in different operational tasks. Since long-lasting quantum coherence has been experimentally confirmed in a number of photosynthetic complexes, it has been debated if and how coherence is connected to the known efficiency of population transfer in such systems. In this study, we investigate quantitatively the relationship between coherence, as quantified by l1-norm and relative entropy of coherence, and efficiency, as quantified by fidelity, for population transfer between end-sites in a network of two-level quantum systems. In particular, we use the coherence averaged over the duration of the population transfer in order to carry out a quantitative comparison between coherence and fidelity. Our results show that although coherence is a necessary requirement for population transfer, there is no unique relation between coherence and the efficiency of the transfer process.
Highlights
The idea of using and quantifying coherence as a resource was first introduced by Åberg [1]
Quantification of quantum coherence, which makes it possible to distinguish different quantum states in terms of their ability to function as a coherence resource, is introduced as a set of conditions for a functional C mapping quantum states into non-negative real numbers
The coherence quantities are computed both in the site basis and the exciton basis as well as for both time ftoypr eFstooftchoehoeprteinmcaelmHeaamsuilrteosn(ila1-nnpoarrmamanetdeRrsEaOndCt)i.mWeefcoormCpya(rte; the optimal Hamiltonian parameters and r ) to see whether they coincide or not, in order to analyze the role of coherence for population transfer
Summary
The role of quantum coherence in dimer and trimer excitation energy transfer Charlotta Bengtson and Erik Sjöqvist. The l1-norm and relative entropy of coherence have been this work must maintain attribution to the shown to be proper quantifiers of coherence and have been used to investigate coherence properties in author(s) and the title of different operational tasks. In a number of photosynthetic complexes, it has been debated if and how coherence is connected to the known efficiency of population transfer in such systems. We investigate quantitatively the relationship between coherence, as quantified by l1-norm and relative entropy of coherence, and efficiency, as quantified by fidelity, for population transfer between end-sites in a network of two-level quantum systems. We use the coherence averaged over the duration of the population transfer in order to carry out a quantitative comparison between coherence and fidelity. Our results show that coherence is a necessary requirement for population transfer, there is no unique relation between coherence and the efficiency of the transfer process
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