Decoding the Building Blocks of Life from the Perspective of Quantum Information

Esquivel, Rodolfo O.; Molina-Espíritu, Moyocoyani; Salas, Frank; Soriano, Catalina; Barrientos, Carolina; Dehesa, J. S.; Dobado, José A.

doi:10.5772/55160

Cited by 2 publications

(2 citation statements)

References 32 publications

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“…So that, we have computed several reactivity properties such as the ionization potential (IP), the hardness (η) and the electrophilicity index (ω). These properties were obtained at the Hartree-Fock level of theory (HF) in order to employ the Koopmans' theorem (Koopmans, 1933;Janak, 1978) where ε denotes the frontier molecular orbital energies and S stands for the softness of the system. It is worth mentioning that the factor 1/2 in Eq.…”

Section: Information-theoretical Measures and Complexitiesmentioning

confidence: 99%

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Advances in Quantum Mechanics

Bracken¹

2013

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BSc degree from the University of Toronto and PhD degree from the University of Waterloo in Canada. His research interests include mathematical problems in quantum mechanics and quantum field theory, differential geometry and partial differential equations as well as gravity. He has published over one hundred papers in journals and books and as well presented about twenty talks at various meetings and conferences and have taught courses at all levels over the years.

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Section: Information-theoretical Measures and Complexitiesmentioning

confidence: 99%

“…The same problem exists for sugars which have the D configuration. (Hein and Blackmond, 2011;Zehnacker et al, 2008;Nanda and DeGrado, 2004).…”

Section: Aminoacidsmentioning

confidence: 99%

Advances in Quantum Mechanics

Bracken¹

2013

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Entanglement in N-harmonium: bosons and fermions

Benavides-Riveros¹,

Toranzo²,

Dehesa³

2014

J. Phys. B: At. Mol. Opt. Phys.

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The ground-state entanglement of a single particle of the N-harmonium system (i.e., a completely-integrable model of N particles where both the confinement and the two-particle interaction are harmonic) is shown to be analytically determined in terms of N and the relative interaction strength. For bosons, we compute the von Neumann entropy of the one-body reduced density matrix by using the corresponding natural occupation numbers. There exists a critical number N c of particles so that below it, for positive values of the coupling constant, the entanglement grows when the number of particles is increasing; the opposite occurs for N > N c . For fermions, we compute the one-body reduced density matrix for the closed-shell spinned case. In the strong coupling regime, the linear entropy of the system decreases when N is growing. For fixed N , the entanglement is found (a) to decrease (increase) for negatively (positively) increasing values of the coupling constant, and (b) to grow when the energy is increasing. Moreover, the spatial and spin contributions to the total entanglement are found to be of comparable size.

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Decoding the Building Blocks of Life from the Perspective of Quantum Information

Cited by 2 publications

References 32 publications

Advances in Quantum Mechanics

Advances in Quantum Mechanics

Entanglement in N-harmonium: bosons and fermions

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