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Europhysics Letters (EPL)

Entanglement purification and concentration based on hybrid spin entangled states of separate nitrogen-vacancy centers

Rui Wang, Tie-Jun Wang, Chuan Xi Wang

Published Jun 27, 2019• 10 citations
Publisher

Abstract

We present a hybrid entanglement purification and concentration protocol for nuclear spin entangled states of nitrogen-vacancy (N-V) centers resorting to the ancillary photons and electrons. In the entanglement purification protocol, the mixed entangled states of the N-V centers can be purified with high fidelity using two pairs of entangled photons to interact with each electron in N-V centers. By performing local measurement on the electrons, the original entangled state can be obtained between the two remote parities. In the entanglement concentration protocol, the partially entangled states of the nuclear spin in N-V centers can be concentrated to the maximally entangled state by using an ancillary photon on one local user. The fidelity of the entangled state with different excited state decay rate and the relation between the yield and different decay rate are numerically simulated.

DOI
10.1209/0295-5075/126/40006

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We present a hybrid entanglement purification and concentration protocol for nuclear spin entangled states of nitrogen-vacancy (N-V) centers resorting to the ancillary photons and electrons. In the entanglement purification protocol, the mixed entangled states of the N-V centers can be purified with high fidelity using two pairs of entangled photons to interact with each electron in N-V centers. By performing local measurement on the electrons, the original entangled state can be obtained between the two remote parities. In the entanglement concentration protocol, the partially entangled states of the nuclear spin in N-V centers can be concentrated to the maximally entangled state by using an ancillary photon on one local user. The fidelity of the entangled state with different excited state decay rate and the relation between the yield and different decay rate are numerically simulated.
We propose an entanglement concentration protocol (ECP) for spatially separated negatively charged nitrogen-vacancy (N-V) centers in a partially entangled W state, resorting to a hybrid quantum circuit and some ancillary single photons. The hybrid quantum circuit is composed of a single N-V center coupled on the periphery of a microtoroidal resonator and linear-optical elements. Exploiting currently available techniques (for example, the single-photon input–output process), the standard maximally entangled W state could be distilled from the initial partially entangled W state. Compared with other ECPs for W-class states, we discuss the advantages of the present protocol. Further, the feasibility and the experimental challenges of the protocol are discussed by considering currently available techniques.
We investigate a candidate for the potential implementation of entanglement purification of two entangled nitrogen vacancy (N-V) centers that are coupled with two microtoroidal resonators. In our proposed entanglement purification protocol (EPP), mixed entangled ensembles can be purified with the local parity-check operations. With current and near-future technology, we can achieve the maximally entangled N-V centers nonlocally. And our EPP can be used in quantum repeaters for long-distance quantum communication.
We present an entanglement purification protocol and an entanglement concentration protocol for electron-spin entangled states, resorting to quantum-dot spin and optical-microcavity-coupled systems. The parity-check gates (PCGs) constructed by the cavity-spin-coupling system provide a different method for the entanglement purification of electron-spin entangled states. This protocol can efficiently purify an electron ensemble in a mixed entangled state. The PCGs can also concentrate electron-spin pairs in less-entangled pure states efficiently. The proposed methods are more flexible as only single-photon detection and single-electron detection are needed.
We describe a high efcient entanglement concentration protocol(ECP)for multi-particle less-entangled nitrogen-vacancy(N-V)center and microtoroidal resonator system.In the ECP,we only require one pair of less-entangled state,two auxiliary N-V center in microcavities and some single photons.After the photon passing through the microcavity,by measuring the polarization of the photon,a maximally entangled W state can be obtained with some success probability.This ECP does not need to destroy the solid qubit,which makes it more feasible.Moreover,by resorting to more single photons,it can be repeated to reach a high success probability.These features make this ECP useful in current long-distance quantum communications.
We describe a high efcient entanglement concentration protocol(ECP) for multi-particle less-entangled nitrogen-vacancy(N-V)center and microtoroidal resonator system. In the ECP, we only require one pair of less-entangled state, two auxiliary N-V center in microcavities and some single photons. After the photon passing through the microcavity, by measuring the polarization of the photon,a maximally entangled W state can be obtained with some success probability. This ECP does not need to destroy the solid qubit,which makes it more feasible. Moreover, by resorting to more single photons, it can be repeated to reach a high success probability.These features make this ECP useful in current long-distance quantum communications.