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Physical Review A

Nearly deterministic preparation of the perfect W state with weak cross-Kerr nonlinearities

Li Dong, Jun-Xi Wang, Qingyang Li, Hong-Zhi Shen, Haikuan Dong, Xiao‐Ming Xiu, Yajun Gao, Choo Hiap Oh

Published Jan 7, 2016• 71 citations
Publisher

Abstract

Relying on weak cross-Kerr nonlinearities, we propose a nearly deterministic generation scheme of the three-photon polarization-entangled perfect $W$ state which can be applied to the perfect teleportation of an unknown single-photon state and has robust entanglement against the loss of one photon of them. Three photons entangle together by virtue of the bus function of the coherent state serving as the intermediate among them. In the scheme, three processes are executed successively and two kinds of modules are inserted into the circuit, where the homodyne measurement and the photon number measurement are aptly performed. By means of classical feedforward techniques, single-photon unitary transformation operations are performed on the corresponding photons based on the obtained measurement outcomes, by which the generation efficiency of the perfect $W$ state aims to nearly unity. Moreover, some currently available optical elements are applied in the generation process, which offer facilities for the practical implementation.

DOI
10.1103/physreva.93.012308

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Abstract We propose a theoretical protocol for preparing four-photon polarization entangled decoherence-free states, which are immune to the collective noise. With the assistance of the cross-Kerr nonlinearities, a two-photon spatial entanglement gate, two controlled-NOT gates, a four-photon polarization entanglement gate are inserted into the circuit, where X homodyne measurements are aptly applied. Combined with some swap gates and simple linear optical elements, four-photon polarization entangled decoherence-free states which can be utilized to represent two logical qubits, |0〉L and |1〉L are achieved at the output ports of the circuit. This generation scheme may be implemented with current experimental techniques.
Splitting and acquiring quantum information with perfect WWW states based on weak cross-Kerr nonlinearities
With the assistance of weak cross-Kerr nonlinear interaction between photons and coherent states via Kerr media, we propose a scheme to split and acquire quantum information with three-photon perfect W states.By means of a fault-tolerant circuit, the perfect W states are distributed to the participants without being affected by the collective noise.And on this basis we present a scheme for splitting and acquiring a single-photon state with the shared perfect W states. Together with the mature techniques of classical feed-forward, simple and available linear optical elements are applied in the procedure, enhancing the feasibility of the theoretical scheme proposed here.........
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A scheme is proposed for generating a polarization four-photon cluster state based on weak cross-Kerr nonlinearity. Compared with the existing schemes, the distinct feature of the present scheme would be its preparation with near-perfect fidelity due to homodyne measurement on the probe mode. After the probe mode interacts successively with multiple signal-mode photons, sixteen terms about the signal modes can be divided into four groups with the help of homodyne measurement. Each group can be transformed into the cluster state through the appropriate local operations. Thus the present scheme has a high success probability. Because it is difficult to obtain deterministic single-photon sources for current experimental technology, the realistic success probability is rather low but is preponderant in contrast to the existing schemes.
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