Implementation of the semiclassical quantum Fourier transform in a scalable system.
We report the implementation of the semiclassical quantum Fourier transform in a system of three beryllium ion qubits (two-level quantum systems) confined in a segmented multizone trap. The quantum Fourier transform is the crucial final step in Shor's algorithm, and it acts on a register of qubits to determine the periodicity of the quantum state's amplitudes. Because only probability amplitudes are required for this task, a more efficient semiclassical version can be used, for which only single-qubit operations conditioned on measurement outcomes are required. We apply the transform to several input states of different periodicities; the results enable the location of peaks corresponding to the original periods. This demonstration incorporates the key elements of a scalable ion-trap architecture, suggesting the future capability of applying the quantum Fourier transform to a large number of qubits as required for a useful quantum factoring algorithm.
Chiaverini
J
J
National Institute of Standards and Technology, Boulder, CO 80305, USA. john.chiaverini@boulder.nist.gov
Britton
J
J
Leibfried
D
D
Knill
E
E
Barrett
M D
MD
Blakestad
R B
RB
Itano
W M
WM
Jost
J D
JD
Langer
C
C
Ozeri
R
R
Schaetz
T
T
Wineland
D J
DJ