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arXiv:quant-ph/0605111 · Journal of the Optical Society of America B

Cluster-state quantum computing in optical fibers

Yasaman Soudagar, Félix Bussières, Guido Berlín, S. Lacroix, José M. Fernandez, Nicolas Godbout

Published Jan 26, 2007• 33 citations
arXivHTMLPDF

Abstract

A scheme for the implementation of the cluster-state model of quantum computing in optical fibers, which enables the feed-forward feature, is proposed. This scheme uses the time-bin encoding of qubits. Following previously suggested methods of applying arbitrary one-qubit gates in optical fibers, two different ways for the realization of fusion gate types I and II for cluster production are proposed: a fully time-bin-based encoding scheme and a combination of time-bin and polarization-based encoding. Also, the methods of measurement in any desired bases for the purpose of processing of cluster-state computing for both these encodings are explained.

DOI
10.1364/josab.24.000226

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A scheme for the implementation of the cluster-state model of quantum computing in optical fibers, which enables the feed-forward feature, is proposed. This scheme uses the time-bin encoding of qubits. Following previously suggested methods of applying arbitrary one-qubit gates in optical fibers, two different ways for the realization of fusion gate types I and II for cluster production are proposed: a fully time-bin-based encoding scheme and a combination of time-bin and polarization-based encoding. Also, the methods of measurement in any desired bases for the purpose of processing of cluster-state computing for both these encodings are explained.
The next generation of telecommunication networks will rely on the transmission of complex quantum states to enable secure and transformative information processing, utilizing entanglement and superposition. Cluster states - multipartite entangled states that retain entanglement under local measurements - are a vital resource for quantum networking applications such as blind photonic quantum computing, quantum state teleportation and all-photonic quantum repeaters. However, the transmission of cluster states over optical fiber has remained elusive with previous approaches. Here, we demonstrate the first transmission of a four-qubit cluster state over 25 km of single-mode fiber by using a two-photon multi-level time-bin encoding. We directly generate the state by exploiting coherent control of a parametric generation process, rendering a resource-intensive controlled-phase gate obsolete. To enable efficient and reconfigurable projective measurements on the multi-level time-bin encoded state, we introduce chirped-pulse modulation and implement the first time-bin beam splitter, allowing us to certify genuine multipartite entanglement and to demonstrate one-way computing operations. Our approach enables the transmission of complex quantum states over long-distance fibers, permitting the implementation of multipartite protocols and laying the foundation for large-scale quantum resource networks.
Quantum computers promise to be more efficient and powerful than their classical counterparts. In the one-way quantum computer model [1], a sequence of measurements processes qubits, which are initially prepared in a highly entangled cluster state. We present here an optical implementation of a 4-qubit cluster state and we show how different algorithms can be experimentally realized by performing the corresponding sequence of measurements. The key advantage of this scheme over the standard network approach of quantum computing is that inherent, randomly induced measurement errors can classically be fed-forward and corrected by adapting the basis of subsequent measurement.
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