Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm
At a Glance
Section titled āAt a Glanceā| Metadata | Details |
|---|---|
| Publication Date | 2016-01-28 |
| Journal | New Journal of Physics |
| Authors | XUE KE SONG, Hao Zhang, Qing Ai, Jing Qiu, Fu-Guo Deng |
| Institutions | Beijing Normal University |
| Citations | 129 |
Abstract
Section titled āAbstractāBy using transitionless quantum driving algorithm (TQDA), we present an\nefficient scheme for the shortcuts to the holonomic quantum computation (HQC).\nIt works in decoherence-free subspace (DFS) and the adiabatic process can be\nspeeded up in the shortest possible time. More interestingly, we give a\nphysical implementation for our shortcuts to HQC with nitrogen-vacancy centers\nin diamonds dispersively coupled to a whispering-gallery mode microsphere\ncavity. It can be efficiently realized by controlling appropriately the\nfrequencies of the external laser pulses. Also, our scheme has good scalability\nwith more qubits. Different from previous works, we first use TQDA to realize a\nuniversal HQC in DFS, including not only two noncommuting accelerated\nsingle-qubit holonomic gates but also a accelerated two-qubit holonomic\ncontrolled-phase gate, which provides the necessary shortcuts for the complete\nset of gates required for universal quantum computation. Moreover, our\nexperimentally realizable shortcuts require only two-body interactions, not\nfour-body ones, and they work in the dispersive regime, which relax greatly the\ndifficulty of their physical implementation in experiment. Our numerical\ncalculations show that the present scheme is robust against decoherence with\ncurrent experimental parameters.\n