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PARTICLE STATISTICS: A RESOURCE FOR QUANTUM INFORMATION PROCESSING

Yasser Omar

Published May 1, 2006• 1 citation
Publisher

Abstract

In this article, we will show how particle statistics can be used as a resource for quantum information processing. After introducing this fundamental aspect of quantum physics, we will present several examples showing how it is possible to perform both useful and efficient quantum information processing relying only on the effects of the indistinguishability of identical particles. All the proposed schemes can be implemented with current technology.

DOI
10.1142/s021960770600016x

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In this article, we will show how particle statistics can be used as a resource for quantum information processing. After introducing this fundamental aspect of quantum physics, we will present several examples showing how it is possible to perform both useful and efficient quantum information processing relying only on the effects of the indistinguishability of identical particles. All the proposed schemes can be implemented with current technology.
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Quantum mechanics promises a much more powerful information-processing technology than is possible using classical physics. Photons offer one potentially important platform for encoding and manipulating information using the rules of quantum physics. In order to realize this potential, they must interact with each other, something that they are not normally inclined to do. However, as discussed in the Perspective by Walmsley and Raymer, it is possible using a combination of standard optical elements and detectors to synthesize an effective interaction provided all the photons used have identical properties. An important direction of current research is to develop sources of identical photons.
As a result of the capabilities of quantum information, the science of quantum information processing is now a prospering, interdisciplinary field focused on better understanding the possibilities and limitations of the underlying theory, on developing new applications of quantum information and on physically realizing controllable quantum devices. The purpose of this primer is to provide an elementary introduction to quantum information processing, and then to briefly explain how we hope to exploit the advantages of quantum information. These two sections can be read independently. For reference, we have included a glossary of the main terms of quantum information.
Indistinguishability of identical particles is a resource for quantum information processing and has been utilized to generate entanglement from independent particles that spatially overlap only at the detection stage. Here, we introduce a controllable scheme capable of generating via three steps, i.e., initialization, deformation, and postselection, different classes of multipartite entangled states starting from a product state of N spatially distinguishable identical qubits. While our scheme is generalizable to any class of entangled bosonic and fermionic systems, we provide an explicit recipe for the generation of W , Dicke, GHZ, and cluster states, which are resource states for quantum information processing. Using graph-based representations within the framework of spatially localized operations and classical communication (sLOCC), we mathematically demonstrate a direct translation of the generation schemes of specific entangled states into colored, complex, and weighted digraphs, each corresponding to a given experimental setup. We also show that this graph-theoretical approach allows for the optimization of the generation efficiency of specific multipartite entangled states by exploring a variety of generation schemes. The presented theoretical approach, while already implementable with current linear optics architectures, has the potential to bring clear advantages over existing technologies, such as in quantum computing search algorithms and in the design of new experiments in quantum optics or other platforms. Published by the American Physical Society 2024