Optimal multi-photon entanglement concentration with the photonic Faraday rotation

Zhou, Lan; Wang, Dandan; Wang, Xingfu; Gu, Shi‐Pu; Sheng, Yu‐Bo

doi:10.1088/1674-1056/26/2/020302

Cited by 3 publications

(4 citation statements)

References 126 publications

(162 reference statements)

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“…In 2013, Zhou proposed a concurrence measurement protocol for an arbitrary two-photon entanglement state with the help of the photonic Faraday rotation [52].…”

Section: The Concurrence Measurement For the Optical Statesmentioning

confidence: 99%

“…In the measurement protocol of [52], two nonlocal parties, Alice and Bob, share two pairs of arbitrary two-photon entangled states with the same form of:…”

Section: Rmentioning

confidence: 99%

“…Figure 8. A schematic drawing of the concurrence measurement protocol for the arbitrary two-photon entanglement state in [52]. Two pairs of photonic states with the form of |φ = α|RR ab + β|RL ab + γ|LR ab + δ|LL ab are generated by the single photon source S. The parties Alice and Bob make three three-level atoms with the same form of…”

Section: Rmentioning

confidence: 99%

“…In this way, some efficient concurrence measurement protocols based on a linear optical system or a nonlinear optical system have been proposed [48][49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

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Concurrence Measurement for the Two-Qubit Optical and Atomic States

Zhou

Sheng

2015

Entropy

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Concurrence provides us an effective approach to quantify entanglement, which is quite important in quantum information processing applications. In the paper, we mainly review some direct concurrence measurement protocols of the two-qubit optical or atomic system. We first introduce the concept of concurrence for a two-qubit system. Second, we explain the approaches of the concurrence measurement in both a linear and a nonlinear optical system. Third, we introduce some protocols for measuring the concurrence of the atomic entanglement system.

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“…In 2013, Zhou proposed a concurrence measurement protocol for an arbitrary two-photon entanglement state with the help of the photonic Faraday rotation [52].…”

Section: The Concurrence Measurement For the Optical Statesmentioning

confidence: 99%

“…In the measurement protocol of [52], two nonlocal parties, Alice and Bob, share two pairs of arbitrary two-photon entangled states with the same form of:…”

Section: Rmentioning

confidence: 99%

Section: Rmentioning

confidence: 99%

“…In this way, some efficient concurrence measurement protocols based on a linear optical system or a nonlinear optical system have been proposed [48][49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

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Concurrence Measurement for the Two-Qubit Optical and Atomic States

Zhou

Sheng

2015

Entropy

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Quantum entanglement concentration for photonic polarization state assisted by electron spin

Zhao¹,

Liang²,

Wang³

2017

Acta Phys. Sin.

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In order to assure the security of the long-distance quantum communication, the maximum entangled state is necessary. However, the decoherence of the entanglement is inevitable because of the channel noise and the interference of the environment. Quantum entanglement concentration can be used to convert a non-maximum entangled state into a maximum one. In previous entanglement concentration proposals, we need the initial coefficients of non-maximum entangled state or repeat the entanglement concentration process to improve the possibility of success, which reduces the efficiency of the entanglement concentration. A more efficient entanglement concentration for phontonic polarization state is proposed in this paper, which is based on the interaction between circularly polarized light and quantum dot-cavity system. An auxiliary photon is introduced to connect two distant participants. To overcome the channel noise, the auxiliary photon transmits though two channels between the two participants. The photons interact with coupled quantum dot-cavity before and after the auxiliary photon transmission. Then the states of spins and auxiliary photon are measured, and the maximum phontonic polarization entangled state is obtained by single-photon operations according to the measurement results. The success possibility of the proposed scheme is 1 in ideal conditions, that is, the concentration can be realized deterministically. However, the cavity leakage is unavoidable, so the fidelity of the entanglement concentration is calculated by taking one of the measurement results for example. The results show that the influences of the initial coefficients of non-maximum entangled state on the fidelity can be ignored in most cases, which saves a mass of photons used to measure the initial coefficients of the non-maximum entangled state. The fidelities with varying coupling strengths and cavity leakages are also shown in the paper. In the case of weak coupling, the fidelity is low and varies sharply with cavity leakage. Fortunately, the fidelity will plateau in a strong coupling case, and reaches 99.8% with a coupling strength 0.7 for diverse cavity leakages. Much progress has been made in the study of the strong coupling between quantum dot and optical cavity, which can satisfy the requirement of our entanglement concentration. So the proposed scheme is feasible in the current experimental conditions. In general, our proposal still maintains high fidelity even considering the cavity leakage, and the initial information about partially entangled state and the repetition of the entanglement concentration process are not required. This not only improves the security of the quantum entanglement concentration, but also contributes to efficient quantum information processing with less quantum resources. These characteristics increase the universality and efficiency of the entanglement concentration, thus assuring the quality of the long-distance quantum entanglement.

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Quantum error rejection and fault tolerant quantum communication

Deng¹,

Li²,

Li³

2018

Acta Phys. Sin.

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Quantum communication utilizes the quantum state as information carrier. The transmission of quantum states is therefore a precondition for various quantum communication protocols. Photons play a central role in quantum communication since they are fast, cheap, easy to control and interact weakly with the environment. However, the widely used polarization degree of freedom of photons is vulnerable to the noise during the transmission. In this article, we review two main methods to deal with the channel noise, i.e., the quantum error rejection scheme and fault tolerant quantum communication. To transmit an arbitrary single-photon state, Li and Deng proposed two faithful state transmission schemes only by resorting to passive linear optics. The success probability can be (2N+1-1)/2N+1 by introducing a wave splitter composed of N unbalance interferometers. Compared with other quantum error rejection schemes, these two scheme are practical both in maneuverability and resource consumption. They are not only suitable for single-photon pure state transmission but also able to be used for transmitting mixed state, which makes them useful for one-way quantum communication. The success probability of error rejection is usually less than 100% since some error cases are rejected. To realize complete fault tolerant quantum communication, decoherence free subspace can be used to encode quantum information. In 2008, Li et al. proposed two efficient quantum key distribution schemes over two different collective-noise channels. The noiseless subspaces are made up of two Bell states and the spatial degree of freedom is introduced to form two nonorthogonal bases. Although entangled states are employed, only single-photon measurements are required to read the information. Later, the scheme is generalized to an efficient one which transmits n-1 bits information via n Einstein-Podolsky-Rosen pairs and many fault tolerant quantum communication schemes were proposed. We compare the practicality of different anti-noise schemes based on maneuverability and resource consumption and a perspective of these two research directions is given in the last section.

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Optimal multi-photon entanglement concentration with the photonic Faraday rotation

Cited by 3 publications

References 126 publications

Concurrence Measurement for the Two-Qubit Optical and Atomic States

Concurrence Measurement for the Two-Qubit Optical and Atomic States

Quantum entanglement concentration for photonic polarization state assisted by electron spin

Quantum error rejection and fault tolerant quantum communication

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