We explore the use of fractional controlled-not gates in quantum thermodynamics. The Nth-root gate allows for a paced application of two-qubit operations. We apply it in quantum thermodynamic protocols for charging a quantum battery. Circuits for three (and two) qubits are analysed by considering the generated ergotropy and other measures of performance. We also perform an optimisation of initial system parameters, e.g.,the initial quantum coherence of one of the qubits strongly affects the efficiency of protocols and the system's performance as a battery. Finally, we briefly discuss the feasibility for an experimental realization.
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http://dx.doi.org/10.3390/e26110952 | DOI Listing |
Entropy (Basel)
November 2024
School of Physics, Engineering and Technology, University of York, York YO10 5DD, UK.
We explore the use of fractional controlled-not gates in quantum thermodynamics. The Nth-root gate allows for a paced application of two-qubit operations. We apply it in quantum thermodynamic protocols for charging a quantum battery.
View Article and Find Full Text PDFJ Chem Theory Comput
November 2021
Department of Physical and Quantum Chemistry, Faculty of Chemistry, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland.
Previously unknown properties of the natural orbitals (NOs) pertaining to singlet states (with natural parity, if present) of electronic systems with even numbers of electrons are revealed upon the demonstration that, at the limit of → ∞, the NO ψ() with the th largest occupation number ν approaches the solution ψ̃() of the zero-energy Schrödinger equation that reads ([(, )] (r⃗)) - (π/) [ρ(, )] ([ρ(, )] (r⃗)) = 0 (where is the kinetic energy operator), whereas ν approaches ν̃. The resulting formalism, in which the "on-top" two-electron density ρ(, ) solely controls the asymptotic behavior of both ψ() and ν at the limit of the latter becoming infinitesimally small, produces surprisingly accurate values of both quantities even for small . It opens entirely new vistas in the elucidation of their properties, including single-line derivations of the power laws governing the asymptotic decays of ν and ⟨ψ()||ψ()⟩ with , some of which have been obtained previously with tedious algebra and arcane mathematical arguments.
View Article and Find Full Text PDFIUBMB Life
October 2021
Dr. D.Y. Patil Biotechnology and Bioinformatics Institute, Dr. D.Y. Patil Vidyapeeth, Pune, Maharashtra, India.
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