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Physical Review A

Efficient entanglement concentration for partially entangled electrons using a quantum-dot and microcavity coupled system

Chuan Xi Wang

Published Jul 20, 2012• 94 citations
Publisher

Abstract

We present an efficient entanglement concentration protocol (ECP) for electron spins based on quantum-dot and microcavity coupled systems. In our ECP, each two-electron spin system in a partially entangled state can be concentrated with the assistance of an ancillary quantum dot and a single photon, not two copies of two-electron spin systems. With current and near-future technology, the locally maximal entanglement of electron spins can be achieved, and our ECP can be used in long-distance quantum communications.

DOI
10.1103/physreva.86.012323

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Abstract We present error-rejecting entanglement concentration protocols (ECPs) for partially entangled electron spins in quantum dots (QDs) with unknown and known parameters using quantum electrodynamics of QDs coupled with optical cavities, which can recover the partially entangled state to the maximally entangled state with unit fidelity even in the non-ideal experimental condition. The error-rejecting ECP for a partially entangled state utilizes parity check operations on electron spins within QDs. Furthermore, for a partially entangled state with known parameters, the ECP is devised through a parameter-splitting approach. The success probabilities of these two error-rejecting ECPs can be further improved by using the resource recycling method and iteration method. On account of their unit fidelity and considerable success probability, the error-rejecting ECPs have promising application value in improving the fidelity of quantum communication.
We present two realistic entanglement concentration protocols (ECPs) for pure partially entangled photons. A partially entangled photon pair can be concentrated to a maximally entangled pair with only an ancillary single photon with a certain probability, while the conventional ECPs require two copies of partially entangled pairs at least. Our first protocol is implemented with linear optics and the second protocol is implemented with cross-Kerr-nonlinearities. Compared with other ECPs, they do not need to know the accurate coefficients of the initial state. With linear optics, it is feasible with current experiments. With cross-Kerr-nonlinearities, it does not require sophisticated single-photon detectors and can be repeated to get a higher success probability. Moreover, the second protocol can get the higher entanglement transformation efficiency and it may be the most economical protocol by far. Meanwhile, both protocols are more suitable for multiphoton system concentration because they need less operations and classical communications. All these advantages make the two protocols useful in current long-distance quantum communications.