One-step hyperentanglement purification and hyperdistillation with linear optics

Wang, Zhihui; Liu, Leilei; Zhang, Ru; Cao, Cong; Wang, Chuan

doi:10.1364/oe.23.009284

Cited by 65 publications

(34 citation statements)

References 37 publications

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“…In quantum communication, the entanglement can be prepared in the multiple DOFs of photon system, called hyperentanglement, which can largely increase the channel capacity of long‐distance quantum communication . In the past few years, many interesting schemes have been proposed for high‐capacity long‐distance quantum communication, especially for hyperentangled Bell states analysis, hyperentanglement concentration, hyperentanglement purification, and high‐capacity quantum secure direct communication . In quantum computation, the multiple DOFs of photon system can also be encoded as qubits to carry quantum information in universal quantum computational tasks .…”

Section: Introductionmentioning

confidence: 99%

Three‐Photon Polarization‐Spatial Hyperparallel Quantum Fredkin Gate Assisted by Diamond Nitrogen Vacancy Center in Optical Cavity

et al. 2018

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The construction of a near-deterministic photonic hyperparallel quantum Fredkin (hyper-Fredkin) gate is investigated for a three-photon system with the optical property of a diamond nitrogen vacancy center embedded in an optical cavity (cavity-NV center system). This hyper-Fredkin gate can be used to perform double Fredkin gate operations on both the polarization and spatial-mode degrees of freedom (DOFs) of a three-photon system with a near-unit success probability, compared with those on the double three-photon systems in one DOF. In this proposal, the hybrid quantum logic gate operations are the key elements of the hyper-Fredkin gate, and only two cavity-NV center systems are required. Moreover, the possibility of constructing a high-fidelity and high-efficiency hyper-Fredkin gate in the experimental environment of a cavity-NV center system is discussed, which may be used to implement high-fidelity photonic computational tasks in two DOFs with a high efficiency.and three-photon quantum entangling gates are essential elements for solving universal quantum computational tasks. [1][2][3][4][5][6][7][8][9][10] In the construction of photonic quantum entangling gates, the strong interaction between photons is an essential task to be overcome. By using linear optics, auxiliary photons, and photon detectors, the strong photonphoton interaction can be obtained, and many schemes have been proposed and demonstrated for photonic twoqubit [11][12][13] and three-qubit [14,15] quantum entangling gates in the past few years. In 2006, Fiurášek [14] proposed a threephoton Fredkin gate with the success probability 4.1 × 10 −3 by using linear optical elements, auxiliary entangled photon pairs, and the single-photon detectors. In 2008, Gong et al. [15] improved the success probability of three-photon Fredkin gate to 1/64 by using linear optical elements and the three-photon time entangled source.The near-deterministic photonic quantum entangling gates have been investigated with nonlinear optical elements, [16][17][18][19][20][21][22][23][24] such as the two-photon controlled-not (CNOT) gate with cross-Kerr nonlinearity [16] and two-photon controlled-phase-flip (CPF) gate with cavity quantum electrodynamics (QED). [17] The interaction between dipole-emitter and photon in cavity QED is very useful for obtaining strong interaction between photons. The electron-spins in quantum dot [25][26][27][28][29] and nitrogen vacancy (NV) center in diamond [30][31][32][33][34][35][36][37] are promising dipole-emitters for cavity QED. With the optical property of quantum dot (or NV center in diamond) embedded in optical cavity, the quantum entangling gates can be constructed for photon systems [19,20,27] and photonelectron-spin hybrid systems. [36,37] Considering the high-capacity property, the photon system can carry more quantum information by encoding the multiple degrees of freedom (DOFs) as qubits. In quantum communication, the entanglement can be prepared in the multiple DOFs of photon system, called hyperentanglement, [38] which can larg...

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Section: Introductionmentioning

confidence: 99%

Three‐Photon Polarization‐Spatial Hyperparallel Quantum Fredkin Gate Assisted by Diamond Nitrogen Vacancy Center in Optical Cavity

et al. 2018

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“…Li and Ghose [30] proposed an interesting hyper-ECP with linear optics and another two efficient hyper-ECPs [31,32] with nonlinearity in 2015. Wang et al [33] and Cao et al [34] gave two good hyper-ECPs with or without local entanglement resource, respectively. Also, Wang et al [35,36] presented two interesting ECPs for electron-spin systems.…”

Section: Introductionmentioning

confidence: 99%

Entanglement concentration of microwave photons based on the Kerr effect in circuit QED

Zhang

Wang

2017

Phys. Rev. A

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In recent years, superconducting qubits show great potential in quantum computation. Hence, microwave photons become very interesting qubits for quantum information processing assisted by superconducting quantum computation. Here, we present the first protocol for the entanglement concentration on microwave photons, resorting to the cross-Kerr effect in circuit quantum electrodynamics (QED). Two superconducting transmission line resonators (TLRs) coupled to superconducting molecule with the N -type level structure induce the effective cross-Kerr effect for realizing the quantum nondemolition (QND) measurement on microwave photons. With this device, we present a two-qubit polarization parity QND detector on the photon states of the superconducting TLRs, which can be used to concentrate efficiently the nonlocal non-maximally entangled states of microwave photons assisted by several linear microwave elements. This protocol has a high efficiency and it may be useful for solid-state quantum information processing assisted by microwave photons.

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“…[34] Hyperentanglement has important applications in quantum error-correcting, [35,36] quantum cryptography, [37,38] quantum repeater, [39] and entanglement purification. [40][41][42][43] Moreover, hyperentanglement can be used to enhance the channel capacity of quantum communication, such as in hyperdense coding, [30] quantum hyperteleportation, [44,45] hyperentanglement swapping, [46] hyperentanglement purification, [47][48][49] and hyperentanglement concentration, [50,51] and it can also be used to reduce the operation time and the resource consumption by constructing hyperparallel photonic quantum computation. [52][53][54][55] In high-capacity quantum communication, hyperentangled Bell-state analysis (HBSA) is one of the most popular components to read out the quantum information.…”

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confidence: 99%

The Linear Optical Unambiguous Discrimination of Hyperentangled Bell States Assisted by Time Bin

et al. 2019

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A linear optical unambiguous discrimination of hyperentangled Bell states is proposed for two-photon systems entangled in both the polarization and momentum degrees of freedom (DOFs) assisted by time bin. This unambiguous discrimination scheme can completely identify 16 orthogonal hyperentangled Bell states using only linear optical elements, where the function of the auxiliary entangled Bell state is replaced by time bin. Moreover, the possibility of extending this scheme for distinguishing hyperentangled Bell states in n DOFs is discussed, and it shows that 2 n+k+1 hyperentangled Bell states in n (n ≥ 2) DOFs can be distinguished with k (k < n) auxiliary entangled states of additional DOFs by introducing a time delay, which decreases the auxiliary entanglement resource required for unambiguous discrimination of hyperentangled Bell state. Therefore, this scheme provides a new way for distinguishing hyperentangled states with current technology, which will extend the application of discrimination of hyperentangled states via linear optics to other quantum information protocols besides hyperdense coding schemes in the future. IntroductionPhoton system is one of the most interesting candidates for quantum communication with the character of manipulability, high-speed transmission, and high capacity. The entangled photon system is a crucial quantum resource in quantum communication, which has many important applications in quantum communication protocols, such as quantum key distribution, [1][2][3][4] quantum secret sharing, [5] quantum dense coding, [6,7] quantumThe ORCID identification number(s) for the author(s) of this article can be found under https://doi.

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One-step hyperentanglement purification and hyperdistillation with linear optics

Cited by 65 publications

References 37 publications

Three‐Photon Polarization‐Spatial Hyperparallel Quantum Fredkin Gate Assisted by Diamond Nitrogen Vacancy Center in Optical Cavity

Three‐Photon Polarization‐Spatial Hyperparallel Quantum Fredkin Gate Assisted by Diamond Nitrogen Vacancy Center in Optical Cavity

Entanglement concentration of microwave photons based on the Kerr effect in circuit QED

The Linear Optical Unambiguous Discrimination of Hyperentangled Bell States Assisted by Time Bin

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