  In this paper, several nanodevices which realize basic single heavy hole
qubit operations are proposed and supported by time dependent self consistent
Poisson-Schr\"{o}dinger calculations using a four band heavy hole-light hole
model. In particular we propose a set of nanodevices which can act as Pauli X,
Y, Z quantum gates and as a gate that acts similar as a Hadamard gate (i.e. it
creates a balanced superposition of basis states but with an additional phase
factor) on the heavy hole spin qubit. We also present the design and simulation
of a gated semiconductor nanodevice which can realize an arbitrary sequence of
all these proposed single quantum logic gates. The proposed devices exploit the
self-focusing effect of the hole wave function which allows for guiding the
hole along a given path in the form of a stable soliton-like wave packet.
Thanks to the presence of the Dresselhaus spin orbit coupling, the motion of
the hole along a certain direction is equivalent to the application of an
effective magnetic field which induces in turn a coherent rotation of the heavy
hole spin. The hole motion and consequently the quantum logic operation is
initialized only by weak static voltages applied to the electrodes which cover
the nanodevice. The proposed gates allow for an all electric and ultrafast
(tens of picoseconds) heavy hole spin manipulation and give the possibility to
implement a scalable architecture of heavy hole spin qubits for quantum
computation applications.
