Dramatic simplification paves the way for building a quantum computer

Aug 02, 2011

Dr Xiao-Qi Zhou and colleagues at the University of Bristol's Centre for Quantum Photonics and the University of Queensland, Australia, have shown that controlled operations — ones that are implemented on the condition that a "control bit" is in the state 1 — can be dramatically simplified compared to the standard approach. The researchers believe their technique will find applications across quantum information technologies, including precision measurement, simulation of complex systems, and ultimately a quantum computer — a powerful type of computer that uses quantum bits (qubits) rather than the conventional bits used in today's computers.

Unlike conventional bits or transistors, which can be in one of only two states at any one time (1 or 0), a qubit can be in several states at the same time and can therefore be used to hold and process a much larger amount of information at a greater rate.

A major obstacle for realizing a quantum computer is the complexity of the quantum circuits required. As with conventional computers, quantum algorithms are constructed from a small number of elementary logic operations. Controlled operations are at the heart of the majority of important quantum algorithms. The traditional method to realize controlled operations is to decompose them into the elementary logic gate set. However, this decomposition is very complex and prohibits the realization of even small-scale quantum circuits.

The researchers now show a completely new way to approach this problem. "By using an extra degree of freedom of quantum particles, we can realize the control operation in a novel way. We have constructed several controlled operations using this method," said Dr Xiao-Qi Zhou, research fellow working on this project, "This will significantly reduce the complexity of the circuits for ."

"The new approach we report here could be the most important development in quantum information science over the coming years," said Professor Jeremy O'Brien, director of the Centre for , "It provides a dramatic reduction in quantum circuit complexity — the major barrier to the development of more sophisticated quantum algorithms — just at the time that the first quantum algorithms are being demonstrated."

The team now plans to apply this technique to implement some important quantum algorithms, such as the phase estimation algorithm and Shor's factoring algorithm.

The research is published in Nature Communications.

Explore further: Cool calculations for cold atoms: New theory of universal three-body encounters

More information: "Adding control to arbitrary quantum operations," Nature Communications
arxiv.org/abs/1006.2670

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Zarabtul
1 / 5 (1) Aug 03, 2011
It's all about the frequencies... Kinda like when I'm bangin' at like 400 double beats per second...
Zarabtul
1 / 5 (1) Aug 03, 2011
It's out of Respect for George Washington that we wear 4.