An article in the August
2004 issue of Physical Review Letters
makes an intriguing proposal for performing quantum computation with
a solid state circuit by using nanomechanical resonators to couple
quantum devices made from superconductors.
The article, written by UGA physicist Michael Geller and Andrew Cleland
of the University of California at Santa Barbara, describes their
proposal to combine desirable features of both atomic systems and
solid-state electronics to make a large-scale quantum computer.
A quantum computer, if one could be built, would transform information
technology by providing vastly increased computational power for certain
specialized tasks, such as searching databases or breaking codes.
Unlike the transistors in today’s computers, a quantum computer
would be constructed from building blocks that obey the counterintuitive
laws of quantum mechanics, such as that governing an atom or a laser.
Whereas a conventional digital computer processes and stores information
in the form of bits, each bit being a “0” or a “1,”
a quantum computer uses quantum bits, which can be in a “0”
or “1” state, or anywhere in between.
“The encryption method used in the financial sector and by defense
departments around the world could be compromised by eavesdroppers
using quantum computers to factor large numbers,” says Geller.
“That’s why governments are racing to build the first
machine.”
Factoring, which is the process of decomposing an integer into a product
of prime numbers, is notoriously difficult with conventional computers.
“The world record right now is a number 129 digits long, and
factoring a 1,000-digit number is estimated to take longer than the
age of the universe,” says Geller. “But a quantum computer
could do this in a reasonable amount of time.”
Despite the tremendous effort by scientists and engineers, and support
by governments worldwide, no one has so far been able to build a functioning
quantum computer.
“The problem is that it is hard to control a quantum system,
such as an atom, enough to make it compute for you, but without disturbing
the delicate pattern of its motion,” says Geller. “One
is always fighting against Heisenberg’s uncertainty principle.”
In Cleland and Geller’s design, there are no delicate atoms,
but instead superconducting devices called Josephson junctions, which
behave like atoms but are much larger. Their design, in fact, looks
much like an ordinary microprocessor chip.
“There is great potential here,” says Geller, “to
make a truly large-scale quantum computer, using the very fabrication
technology developed by the semiconductor industry.”
A key ingredient in Cleland and Geller’s design is the use of
nanometer-scale solid-state resonators, much like the quartz crystals
in a watch, to couple the Josephson junctions together and to allow
quantum information to be stored in memory.
According to Cleland and Geller, a nanomechanical resonator has resonances
in the right frequency range, about 1 GHz, to couple Josephson junctions
effectively, and also has a high “quality factor,” in
that information is channeled efficiently and is not lost or scrambled.
Cleland has tested resonators made from disks of aluminum nitride
slightly more than one micrometer wide and several hundred nanometers
thick. At low temperatures, approaching 4.2 Kelvin, these devices
display a sharp resonance and maintain an extremely high quality factor.
To perform a quantum logic operation, the quantum state of a Josephson
junction is transferred to the resonator, from where it would then
be processed by another junction. Calculations by Cleland and Geller
suggest that their nanomechanical resonator can perform basic quantum
computing operations in a few tens of nanoseconds. Two junctions can
also be prepared in an entangled state by a resonator, by allowing
a quantum bit to be “teleported” between the Josephson
junctions, a form of quantum communication.
“Using this design, we believe that we will be able to build
the core of a small quantum computer, using mostly existing technology,”
Geller says. |