Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

The rise of quantum information science has opened up a new venue for applications of the
geometric phase (GP), as well as triggered new insights into its physical, mathematical, and …

We develop a non-adiabatic generalization of holonomic quantum computation in which
high-speed universal quantum gates can be realized using non-Abelian geometric phases …

The robustness to different sources of error of the scheme for nonadiabatic holonomic gates
proposed previously [New J. Phys. 14, 103035 (2012) NJOPFM 1367-2630 10.1088/1367 …

Universal single-qubit gates are constructed from a basic Bloch rotation operator realized
through nonadiabatic Abelian geometric phase. The driving Hamiltonian in a generic two …

Nonadiabatic geometric phases are only dependent on the evolution path of a quantum
system but independent of the evolution details, and therefore quantum computation based …

A three-level system can be used in a Λ-type configuration in order to construct a universal
set of quantum gates through the use of non-Abelian nonadiabatic geometrical phases …

Geometric phases are robust against certain types of local noises, and thus provide a
promising way toward high‐fidelity quantum gates. However, comparing with the dynamical …

It is proposed that high-speed universal quantum gates can be realized by using non-
Abelian holonomic transformation. A cyclic evolution path which brings the system …

To realize one desired nonadiabatic holonomic gate, various equivalent evolution paths can
be chosen. However, in the presence of errors, these paths become inequivalent. In this …