By Doug Hornig
Most people have never heard of quantum computers. If they have, their
knowledge of what one is, and can do, likely derives from science fiction
novels or breathless accounts in the popular press.
We’re in the latter category, but the subject seemed sufficiently
intriguing that we wanted to take a stab at separating fact from fiction.
Is it really possible that something you can’t even see could have more
computing power than all the desktops in the world, put together?
As with so many things in the very peculiar world of atomic physics, the
answer is both yes and no.
In order to get the lowdown on quantum computers, it made sense to us to
visit a physicist?Professor Olivier Pfister of the University of
Virginia?who is actually building one.
Pfister’s first words are: “The thing about quantum computers is that they
don’t exist or, rather, they exist in a very primitive state. They’re
really stupid. There’s one that can factor 15, which means reduce it to the
product of two prime numbers, 3 and 5. That’s about it.”
Even envisioning what to do with a better quantum computer?if we could make
one, which we can’t?is daunting. There are only two or three algorithms
that we know of, he says, where quantum computing is faster than classical
computing. Factoring is one of them.
All public key encryption systems are based on the product of two extremely
large prime numbers, and depend for their security on the difficulty of
factoring their keys. They’re hard to crack because a classical computer
has to keep dividing by the next highest prime until it finds the right
one, a process that can take months or years. A quantum computer could do
it in a couple of minutes, making present encryptions useless.
So, are we spending countless millions of dollars of research money on a
super code breaker that could bring down our entire financial system?
Pfister laughs. Yes, that’s where we are at the moment, he admits. But what
keeps him in the field, as an experimenter, is the prospect of a computer
that could “solve physical problems that we can’t solve right now.”
Okay, we say, taking a deep breath, can you describe for a lay audience
what a quantum computer is, and how it works? Well, he’s game if we are.
The extraordinary potential of a quantum computer lies in its ability to
perform exponentially faster than an ordinary one. Take factoring. We can
factor 15 in our heads because it’s a small number. But as the number you
want to factor gets larger, it begins to take an exponentially longer time
to solve the problem.
Classical computers are limited by the number of transistors you can cram
into a given space. Those transistors switch between on and off, or 0 and
1, thus giving us the “bits” which lie at the heart of our present-day
binary computing system. All calculations have to be carried out step by
step, one at a time.
In addition, as transistors get smaller and smaller, they will eventually
approach the mysterious line that divides the macroscopic world from the
microscopic world of quantum mechanics. If transistors reach the size of a
few atoms, Pfister says, “they’re not going to work like transistors
anymore. They’d be subject to quantum mechanics, and a lot of strange
things would start happening.”
A quantum computer, conversely, already inhabits the quantum world, and
because it does, it could perform many, many computations simultaneously.
Its primary constituent is called a “qubit,” which is a single atom.
(Photons might be used instead of atom—in fact, that’s the area where
Pfister is working—but describing photon-based computers is well beyond our
abilities.)
Qubits are significantly different from transistor-based bits, because each
can exist in two states at once. So, as you add qubits to your array, your
computing power doubles with each new one (i.e., becomes 2n, where n =
number of qubits). Thus, with 10 classical computing bits, you do 101
calculations simultaneously = 10; with 10 qubits, you could do 210, or
1,024 calculations. Make it 100 qubits, and you could do 100 billion
billion billion.
This extraordinary compounding effect is due to two things. The first is
superposition, a concept that was one of the core discoveries of quantum
mechanics. In the most simplified description, superposition is the ability
of an atom to be in two separate states simultaneously. (We can’t see this
happening, but we know it does because we can and do measure its effects.)
By state, the physicist means something rather too complicated to go into
here. But, again, we can simplify matters by saying that an atom can be
either in an excited state or a de-excited (ground) state. A single atom in
ground state becomes excited when it is hit by a photon and absorbs that
photon’s energy. Somewhat counterintuitively, it emits a photon and
de-excites when struck by a second photon. And so on, indefinitely.
That’s “the quantum gate,” Pfister says. “You send a photon each time you
want to change the state.”
A change of state takes place in about a nanosecond (10-9 seconds). Having
a switch that changes every nanosecond would be nice all by itself, but
superposition makes it twice as nice. It allows you to compound the effect
exponentially.
In order to take advantage of this, you have to tap into the second core
quantum principle, entanglement. First described by Einstein in the 1930s,
entanglement occurs when two or more closely associated atoms are held in
the same state of superposition at the same time. It turns out that when
one entangled atom changes state, the other does, too, simultaneously.
There is a predictable, measurable correlation, and it always happens.
Theoretically, you could entangle two, ten, a thousand or more atoms, and
the more you have, the more the power of your computer doubles and
re-doubles.
Bizarrely, once entangled, atoms stay that way, even when they are moved
far from their original proximity. A group in Switzerland, Pfister says,
has separated entangled particles by 60 kilometers, and the correlation
still holds.
Imagine the possibilities if your quantum computer were entangled with a
thousand others scattered across the globe. Of course, if we could do that,
the world would be a very different place. We can’t?yet?because it’s hard.
Merely holding one atom in superposition is a daunting task. It must be
totally isolated from its environment; otherwise, decoherence occurs,
whereby the atom reverts to its normal condition, which includes the
spontaneous emission of absorbed energy. Unless spontaneous emission is
ruled out, all measurements become meaningless. One stray photon, and
you’ve got a quantum computer crash, so to speak.
Such a high degree of control is incredibly difficult to achieve, Pfister
says, but “you can do it if you place a single atom between two mirrors
that are very, very close, 10 micrometers apart. Only a few groups in the
world today have that ability.”
Once you get there, though, the atom responds to the laser beam striking
it, and to nothing else, and you can measure its state by tracking the
photon output, which can change every nanosecond. Presto, you have a
computer. Now, all we have to do is await the day when someone discovers
how to string a bunch of such atoms together?
Before taking our leave, we want to touch briefly on the subject of
parallel universes, which have received imaginative treatments by science
fiction writers, and occupied the thoughts of more than a few mainstream
physicists, as well.
In the theory of parallel universes, superposition is explained, not by
something being in two different states at the same time, but by an
interaction between universes.
Could be, Pfister says, but we can’t know. “The parallel universe stuff is
just a different way of understanding quantum mechanics. It gives exactly
the same experimental predictions as any other quantum theory. So as an
experimenter, I don’t care. It doesn’t matter.”
What, then, does lie out there, at the limits of our ability to conceive?
There’s always life itself.
If we had a quantum computer made of several hundred or a thousand qubits,
“it could help us describe small systems,” Pfister says. “Not the universe,
but maybe a bacteria. It would be fun to try, to see what a quantum
description of life would be.”
As for somehow defining consciousness, “I don’t like to think about ways of
measuring it,” Pfister admits, “since the results are not reproducible. But
some people do. And if you like to think about that, well then, build a big
quantum computer, turn it on, and see if it comes alive.”
Could it?
Professor Pfister shrugs. “Who knows?” he says.
This article first appeared in InvestorsInsight Publishing Inc. What We Now Know, February 20, 2007.