The field of quantum information processing has made
numerous promising advancements since its conception, including the building
of two- and three-qubit quantum computers capable of some simple arithmetic
and data sorting.
However, a few potentially large obstacles still
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remain that prevent us from "just building one," or more precisely, building
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a quantum computer that can rival today's modern digital computer.
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Among these difficulties, error correction, decoherence, and hardware architecture
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are probably the most formidable. Error correction is rather self
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explanatory, but what errors need correction? The answer is primarily
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those errors that arise as a direct result of
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decoherence
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,
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or the tendency of a quantum computer to decay from a given quantum state
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into an incoherent state as it interacts, or entangles, with the state
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of the environment. These interactions between the environment and
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qubits are unavoidable, and induce the breakdown of information stored
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in the quantum computer, and thus errors in computation. Before any
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quantum computer will be capable of solving hard problems, research must
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devise a way to maintain decoherence and other potential sources of error
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at an acceptable level.
> Thanks to the theory (and now reality) of
quantum error correction, first proposed in 1995 and continually developed
since, small scale quantum computers have been built and the prospects
of large quantum computers are looking up. Probably the most important
idea in this field is the application of error correction in phase
coherence as a means to extract information and reduce error in a quantum
system without actually measuring that system. In 1998, researches
at Los Alamos National Laboratory
and MIT led by Raymond
Laflamme managed to spread a single bit of quantum information (qubit)
across three nuclear spins in each molecule of a liquid solution of alanine
or trichloroethylene molecules. They accomplished this using the
techniques of nuclear magnetic resonance (NMR). This experiment is
significant because spreading out the information actually made it harder
to corrupt. Quantum mechanics tells us that directly measuring the
state of a qubit invariably destroys the superposition of states in which
it exists, forcing it to become either a 0 or 1. The technique of
spreading out the information allows researchers to utilize the property
of entanglement to study the interactions between states as an indirect
method for analyzing the quantum information. Rather than a direct
measurement, the group compared the spins to see if any new differences
arose between them without learning the information itself. This
technique gave them the ability to detect and fix errors in a qubit's
phase
coherence, and thus maintain a higher level of coherence in the quantum
system. This milestone has provided argument against skeptics, and
hope for believers. Currently, research in quantum error correction
continues with groups at Caltech (Preskill,
Kimble),
Microsoft,
Los
Alamos, and elsewhere.

