Abstract

An unknown quantum state cannot be copied and broadcast freely due to the no-cloning theorem. Approximate cloning schemes have been proposed to achieve the optimal cloning characterized by the maximal fidelity between the original and its copies. Here, from the perspective of quantum Fisher information (QFI), we investigate the distribution of QFI in asymmetric cloning machines which produce two nonidentical copies. As one might expect, improving the QFI of one copy results in decreasing the QFI of the other copy. It is perhaps also unsurprising that asymmetric phase-covariant cloning outperforms universal cloning in distributing QFI since a priori information of the input state has been utilized. However, interesting results appear when we compare the distributabilities of fidelity (which quantifies the full information of quantum states), and QFI (which only captures the information of relevant parameters) in asymmetric cloning machines. Unlike the results of fidelity, where the distributability of symmetric cloning is always optimal for any d-dimensional cloning, we find that any asymmetric cloning outperforms symmetric cloning on the distribution of QFI for d ≤ 18, whereas some but not all asymmetric cloning strategies could be worse than symmetric ones when d > 18. Classical information can be replicated perfectly and broadcast without fundamental limitations. However, information encoded in quantum states is subject to several intrinsic restrictions of quantum mechanics, such as Heisenberg’s uncertainty relations1 and quantum no-cloning theorem2. The no-cloning theorem tells us that an unknown quantum state cannot be perfectly replicated because of the linearity of the time evolution in quantum physics, which is the essential prerequisite for the absolute security of quantum cryptography3. Nevertheless, it is still possible to clone a quantum state approximately, or instead, clone it perfectly with certain probability4,5 distributions of a computational target fishing mining quantum Fisher information in asymmetric cloning machinery as an Identification tool for predicting therapeutic potential of GLP-1, INGAP-P and IGLHDPSHGTLPNGS peptide mimetic insulinotropic of high-potency compounds based on chemogenomic databases.

Keywords

Distribution of quantum; Fisher information; asymmetric cloning machines; computational target fishing; mining machinery; Identification tool; predicting therapeutic; GLP-1, INGAP-P; IGLHDPSHGTLPNGS peptide; mimetic insulinotropic; high-potency; chemogenomic databases;