Researcher:
Torun, Gökhan

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Gökhan

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Torun

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Torun, Gökhan

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Now showing 1 - 2 of 2
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    PublicationOpen Access
    Golden states in resource theory of superposition
    (American Physical Society (APS), 2022) Şenyaşa, H.T.; Department of Physics; Torun, Gökhan; Other; Department of Physics; College of Sciences
    One central study that constitutes a major branch of quantum resource theory is the hierarchy of states. This provides a broad understanding of resourcefulness in certain tasks in terms of efficiency. Here we investigate the maximal superposition states, i.e., golden states, of the resource theory of superposition. Golden states in the resource theory of coherence are very well established; however, it is a very challenging task for superposition due to the nonorthogonality of the basis states. We show that there are sets of inner product settings that admit a golden state in high-dimensional systems. We bridge the gap between the resource theory of superposition and coherence in the context of golden states by establishing a continuous relation by means of a Gram matrix. In addition, immediate corollaries of our framework provide a representation of maximal states which reduces to the maximal state of the coherence in the orthonormal limit of pure basis states.
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    PublicationOpen Access
    Classical and quantum orbital correlations in molecular electronic states
    (Institute of Physics (IOP) Publishing, 2022) Vedral, Vlatko; Department of Physics; Department of Chemistry; Müstecaplıoğlu, Özgür Esat; Yurtsever, İsmail Ersin; Pusuluk, Onur; Yeşiller, Mahir Hüseyin; Torun, Gökhan; Faculty Member; Other; Department of Physics; Department of Chemistry; College of Sciences; Graduate School of Sciences and Engineering; 1674; 7129; N/A; N/A; N/A
    The quantum superposition principle has been extensively utilized in the quantum mechanical description of bonding phenomenon. It explains the emergence of delocalized molecular orbitals and provides a recipe for the construction of near-exact electronic wavefunctions. On the other hand, its existence in composite systems may give rise to nonclassical correlations that are regarded as a resource in quantum technologies. Here, we approach the electronic ground states of three prototypical molecules in the light of the framework set by fermionic information theory. By introducing the notion of orbital discord, we additively decompose the pairwise orbital correlations into their classical and quantum parts in the presence of superselection rules. We observe that quantum orbital correlations can be stronger than classical orbital correlations though not often. Moreover, quantum orbital correlations can survive even in the absence of orbital entanglement depending on the symmetries of the constituent orbitals. Finally, we demonstrate that orbital entanglement would be underestimated if the orbital density matrices were treated as qubit states.