Topological computation without braiding

H Bombin, MA Martin-Delgado - Physical review letters, 2007 - APS
Physical review letters, 2007APS
We show that universal quantum computation can be performed within the ground state of a
topologically ordered quantum system, which is a naturally protected quantum memory. In
particular, we show how this can be achieved using brane-net condensates in 3-colexes.
The universal set of gates is implemented without selective addressing of physical qubits
and, being fully topologically protected, it does not rely on quasiparticle excitations or their
braiding.
We show that universal quantum computation can be performed within the ground state of a topologically ordered quantum system, which is a naturally protected quantum memory. In particular, we show how this can be achieved using brane-net condensates in 3-colexes. The universal set of gates is implemented without selective addressing of physical qubits and, being fully topologically protected, it does not rely on quasiparticle excitations or their braiding.
American Physical Society