title: Nonadiabatic holonomic quantum computation in decoherence-free subspaces.
abstract: Quantum computation that combines the coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of geometric holonomic control is of great practical importance. Some schemes of adiabatic holonomic quantum computation in decoherence-free subspaces have been proposed in the past few years. However, nonadiabatic holonomic quantum computation in decoherence-free subspaces, which avoids a long run-time requirement but with all the robust advantages, remains an open problem. Here, we demonstrate how to realize nonadiabatic holonomic quantum computation in decoherence-free subspaces. By using only three neighboring physical qubits undergoing collective dephasing to encode one logical qubit, we realize a universal set of quantum gates.
authors.affiliation: Department of Physics, Shandong University, Jinan 250100, China.
authors.forename: G F
authors.initials: GF
authors.lastname: Xu
authors.forename: J
authors.initials: J
authors.lastname: Zhang
authors.forename: D M
authors.initials: DM
authors.lastname: Tong
authors.forename: Erik
authors.initials: E
authors.lastname: Sjöqvist
authors.forename: L C
authors.initials: LC
authors.lastname: Kwek