2016/04/29 by Victor A. S. V. Bittencourt, Alex E. Bernardini, Massimo Blasone · 18 citations
Computer Science · Physics and Astronomy · #Amplitude damping channel #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum network #Qubit #Trapped ion quantum computer #hep-th #quant-ph
paper · pdf · doi:10.1103/physreva.93.053823
published in Physical Review A 93(5) (American Physical Society) · 27 pags, 5 figs
arxiv created 2016/04/29 · openalex publication_date 2016/05/17 · arxiv updated 2016/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Quantum transition probabilities and quantum entanglement for two-qubit states of a four-level trapped ion quantum system are computed for time-evolving ionic states driven by Jaynes-Cummings Hamiltonians with interactions mapped onto a SU(2)\ensuremath\bigotimesSU(2) group structure. Using the correspondence of the method of simulating a 3+1 dimensional Dirac-like Hamiltonian for bispinor particles into a single trapped ion, one preliminarily obtains the analytical tools for describing ionic state transition probabilities as a typical quantum oscillation feature. For Dirac-like structures driven by generalized Poincar'e classes of coupling potentials, one also identifies the SU(2)\ensuremath\bigotimesSU(2) internal degrees of freedom corresponding to intrinsic parity and spin polarization as an adaptive platform for computing the quantum entanglement between the internal quantum subsystems which define two-qubit ionic states. The obtained quantum correlational content is then translated into the quantum entanglement of two-qubit ionic states with quantum numbers related to the total angular momentum and to its projection onto the direction of the trapping magnetic field. Experimentally, the controllable parameters simulated by ion traps can be mapped into a Dirac-like system in the presence of an electrostatic field which, in this case, is associated to ionic carrier interactions. Besides exhibiting a complete analytical profile for ionic quantum transitions and quantum entanglement, our results indicate that carrier interactions actively drive an overall suppression of the quantum entanglement.