Realizing universal Majorana fermionic quantum computation
Abstract
Majorana fermionic quantum computation (MFQC) was proposed by S. B. Bravyi and A. Yu. Kitaev [Ann. Phys. (NY) 298, 210 (2002), 10.1006/aphy.2002.6254], who indicated that a (nontopological) fault-tolerant quantum computer built from Majorana fermions may be more efficient than that built from distinguishable two-state systems. However, until now scientists have not known how to realize a MFQC in a physical system. In this paper we propose a possible realization of MFQC. We find that the end of a line defect of a p-wave superconductor or superfluid in a honeycomb lattice traps a Majorana zero mode, which becomes the starting point of MFQC. Then we show how to manipulate Majorana fermions to perform universal MFQC, which possesses possibilities for high-level local controllability through individually addressing the quantum states of individual constituent elements by using timely cold-atom technology.
- Publication:
-
Physical Review A
- Pub Date:
- August 2014
- DOI:
- 10.1103/PhysRevA.90.022324
- arXiv:
- arXiv:1305.0114
- Bibcode:
- 2014PhRvA..90b2324W
- Keywords:
-
- 03.67.Lx;
- 37.10.Jk;
- 67.10.Db;
- 74.62.Dh;
- Quantum computation;
- Atoms in optical lattices;
- Fermion degeneracy;
- Effects of crystal defects doping and substitution;
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Quantum Gases;
- Condensed Matter - Superconductivity;
- Quantum Physics
- E-Print:
- 5 pages, 6 figures