Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Asia Communications and Photonics Conference

Hyperdistillation and hyperentanglement purification with linear optics

Leilei Liu, Ru Zhang

Published Jan 1, 2015• 0 citations
Publisher

Abstract

Recent years, researchers pay much more attention to hyperentanglement. Protocols to concentrating and purifying hyperentangled photons have been widely discussed using nonliear optics in the past ten years. While, we propose a linear optics scheme supported by a entangled state as a local resource, to implement the hyperentanglement distillation and hyperentanglement purificaiton in one step. In our scheme, the quantum nondemolition (QND) parity-checking measurement in the spatial-mode and polarization DOFs and the qubit amplification could be the key steps. We discuss the decoherence in noisy channel and photon losses simutaneously, which could be feasible with current technologies.

DOI
10.1364/acpc.2015.asu2a.114

Related papers

One-step hyperentanglement purification and hyperdistillation with linear optics

Tie-Jun Wang, Leilei Liu, Ru Zhang +2 more

We investigate a new approach for achieving hyperdistillation and hyperentanglement purification operations simultaneously on two-photon systems, whose state is described by nonlocal hyperentangled Bell states on both the spatial mode and polarization degree of freedoms. Exploiting linear optics and local entanglement resource, the quantum nondemolition (QND) parity-checking measurement and the heralded two-qubit amplification could are key steps in our scheme. With the QND parity-checking measurement and heralded qubit amplification operations, both the bit-flip (phase-flip) errors caused by decoherence in noisy channels and the vacuum errors caused by the transmission losses can be corrected. We show that the proposed scheme provides a new solution to overcome the problem of photon losses and decoherence simultaneously, which could be achieved with current technologies.

Optics Express•Apr 2, 2015•67 citations

Hyperentanglement purification for two-photon six-qubit quantum systems

Guan-Yu Wang, Qian Liu, Fu‐Guo Deng

Recently, two-photon six-qubit hyperentangled states were produced in experiment and they can improve the channel capacity of quantum communication largely. Here we present a scheme for the hyperentanglement purification of nonlocal two-photon systems in three degrees of freedom (DOFs), including the polarization, the first-longitudinal-momentum, and the second-longitudinal-momentum DOFs. Our hyperentanglement purification protocol (hyper-EPP) is constructed with two steps resorting to parity-check quantum nondemolition measurement on the three DOFs and swap gates, respectively. With these two steps, the bit-flip errors in the three DOFs can be corrected efficiently. Also, we show that using swap gates is a universal method for hyper-EPP in the polarization DOF and multiple-longitudinal-momentum DOFs. The implementation of our hyper-EPP is assisted by nitrogen-vacancy centers in optical microcavities, which could be achieved with current techniques. It is useful for long-distance high-capacity quantum communication with two-photon six-qubit hyperentanglement.

arXiv:1607.00082•Physical Review A•Sep 19, 2016•94 citations

Hyperentanglement purification using imperfect spatial entanglement

Tie-Jun Wang, Sichen Mi, Chuan Xi Wang

As the interaction between the photons and the environment which will make the entangled photon pairs in less entangled states or even in mixed states, the security and the efficiency of quantum communication will decrease. We present an efficient hyperentanglement purification protocol that distills nonlocal high-fidelity hyper-entangled Bell states in both polarization and spatial-mode degrees of freedom from ensembles of two-photon system in mixed states using linear optics. Here, we consider the influence of the photon loss in the channel which generally is ignored in the conventional entanglement purification and hyperentanglement purification (HEP) schemes. Compared with previous HEP schemes, our HEP scheme decreases the requirement for nonlocal resources by employing high-dimensional mode-check measurement, and leads to a higher fidelity, especially in the range where the conventional HEP schemes become invalid but our scheme still can work.

Optics Express•Feb 3, 2017•36 citations

Linear-optical implementation of hyperdistillation from photon loss

Tie-Jun Wang, Cong Cao, Chuan Xi Wang

Inherent channel losses during photon transmission limit the efficiency of optical quantum communication. In this paper, we construct a hyperdistillation scheme which can be used to distill the spatial-mode and polarization states of a photon simultaneously from photon loss in a heralded strategy. Exploiting linear-optical devices, the fidelity of a single-photon two qubit in a lossy signal mode can be increased to one with a certain success probability. By using a four-photon entanglement resource, the success probability of the hyperdistillation operation could be improved. The proposed scheme provides a realistic solution to overcome the transmission losses and exhibits unique properties, which shows important applications to quantum information processing.

Physical Review A•May 7, 2014•49 citations

Hyperentanglement concentration for two-photon four-qubit systems with linear optics

Bao‐Cang Ren, Fang‐Fang Du, Fu‐Guo Deng

Hyperentanglement, defined as the entanglement in several degrees of freedom (DOFs) of a quantum system, has attracted much attention recently. Here we investigate the possibility of concentrating the two-photon four-qubit systems in partially hyperentangled states in both the spatial mode and the polarization DOFs with linear optics. We first introduce our parameter-splitting method to concentrate the systems in the partially hyperentangled states with known parameters, including partially hyperentangled Bell states and cluster states. Subsequently, we present another two nonlocal hyperentanglement concentration protocols (hyper-ECPs) for the systems in partially hyperentangled unknown states, resorting to the Schmidt projection method. It will be shown that our parameter-splitting method is very efficient for the concentration of the quantum systems in partially entangled states with known parameters, resorting to linear-optical elements only. All these four hyper-ECPs are feasible with current technology and they may be useful in long-distance quantum communication based on hyperentanglement as they require only linear optical elements.

arXiv:1306.0050•Physical Review A•Jul 8, 2013•194 citations

Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities

Bao-Cang Ren, Fu-Guo Deng

Hyperentanglement has attracted much attention due to its fascinating applications in quantum communication. However, it is impossible to purify a pair of photon systems in a mixed hyperentangled state with errors in two degrees of freedom using linear optical elements only, far different from all the existing entanglement purification protocols in a degree of freedom (DOF) for quantum systems. Here, we investigate the possibility of purifying a spatial-polarization mixed hyperentangled Bell state with the errors in both the spatial-mode and polarization DOFs, resorting to the nonlinear optics of a nitrogen-vacancy (NV) center in a diamond embedded in a photonic crystal cavity coupled to a waveguide. We present the first hyperentanglement purification protocol for purifying a pair of two-photon systems in a mixed hyperentangled Bell state with the errors in two DOFs. We also propose an efficient hyperentanglement concentration protocol for a partially hyperentangled Bell pure state, which has the maximal success probability in principle. These two protocols are useful in long-distance quantum communication with hyperentanglement.

arXiv:1309.0168•Laser Physics Letters•Oct 16, 2013•128 citations
Recent years, researchers pay much more attention to hyperentanglement. Protocols to concentrating and purifying hyperentangled photons have been widely discussed using nonliear optics in the past ten years. While, we propose a linear optics scheme supported by a entangled state as a local resource, to implement the hyperentanglement distillation and hyperentanglement purificaiton in one step. In our scheme, the quantum nondemolition (QND) parity-checking measurement in the spatial-mode and polarization DOFs and the qubit amplification could be the key steps. We discuss the decoherence in noisy channel and photon losses simutaneously, which could be feasible with current technologies.
We investigate a new approach for achieving hyperdistillation and hyperentanglement purification operations simultaneously on two-photon systems, whose state is described by nonlocal hyperentangled Bell states on both the spatial mode and polarization degree of freedoms. Exploiting linear optics and local entanglement resource, the quantum nondemolition (QND) parity-checking measurement and the heralded two-qubit amplification could are key steps in our scheme. With the QND parity-checking measurement and heralded qubit amplification operations, both the bit-flip (phase-flip) errors caused by decoherence in noisy channels and the vacuum errors caused by the transmission losses can be corrected. We show that the proposed scheme provides a new solution to overcome the problem of photon losses and decoherence simultaneously, which could be achieved with current technologies.
Recently, two-photon six-qubit hyperentangled states were produced in experiment and they can improve the channel capacity of quantum communication largely. Here we present a scheme for the hyperentanglement purification of nonlocal two-photon systems in three degrees of freedom (DOFs), including the polarization, the first-longitudinal-momentum, and the second-longitudinal-momentum DOFs. Our hyperentanglement purification protocol (hyper-EPP) is constructed with two steps resorting to parity-check quantum nondemolition measurement on the three DOFs and swap gates, respectively. With these two steps, the bit-flip errors in the three DOFs can be corrected efficiently. Also, we show that using swap gates is a universal method for hyper-EPP in the polarization DOF and multiple-longitudinal-momentum DOFs. The implementation of our hyper-EPP is assisted by nitrogen-vacancy centers in optical microcavities, which could be achieved with current techniques. It is useful for long-distance high-capacity quantum communication with two-photon six-qubit hyperentanglement.
As the interaction between the photons and the environment which will make the entangled photon pairs in less entangled states or even in mixed states, the security and the efficiency of quantum communication will decrease. We present an efficient hyperentanglement purification protocol that distills nonlocal high-fidelity hyper-entangled Bell states in both polarization and spatial-mode degrees of freedom from ensembles of two-photon system in mixed states using linear optics. Here, we consider the influence of the photon loss in the channel which generally is ignored in the conventional entanglement purification and hyperentanglement purification (HEP) schemes. Compared with previous HEP schemes, our HEP scheme decreases the requirement for nonlocal resources by employing high-dimensional mode-check measurement, and leads to a higher fidelity, especially in the range where the conventional HEP schemes become invalid but our scheme still can work.
Inherent channel losses during photon transmission limit the efficiency of optical quantum communication. In this paper, we construct a hyperdistillation scheme which can be used to distill the spatial-mode and polarization states of a photon simultaneously from photon loss in a heralded strategy. Exploiting linear-optical devices, the fidelity of a single-photon two qubit in a lossy signal mode can be increased to one with a certain success probability. By using a four-photon entanglement resource, the success probability of the hyperdistillation operation could be improved. The proposed scheme provides a realistic solution to overcome the transmission losses and exhibits unique properties, which shows important applications to quantum information processing.
Hyperentanglement, defined as the entanglement in several degrees of freedom (DOFs) of a quantum system, has attracted much attention recently. Here we investigate the possibility of concentrating the two-photon four-qubit systems in partially hyperentangled states in both the spatial mode and the polarization DOFs with linear optics. We first introduce our parameter-splitting method to concentrate the systems in the partially hyperentangled states with known parameters, including partially hyperentangled Bell states and cluster states. Subsequently, we present another two nonlocal hyperentanglement concentration protocols (hyper-ECPs) for the systems in partially hyperentangled unknown states, resorting to the Schmidt projection method. It will be shown that our parameter-splitting method is very efficient for the concentration of the quantum systems in partially entangled states with known parameters, resorting to linear-optical elements only. All these four hyper-ECPs are feasible with current technology and they may be useful in long-distance quantum communication based on hyperentanglement as they require only linear optical elements.
Hyperentanglement has attracted much attention due to its fascinating applications in quantum communication. However, it is impossible to purify a pair of photon systems in a mixed hyperentangled state with errors in two degrees of freedom using linear optical elements only, far different from all the existing entanglement purification protocols in a degree of freedom (DOF) for quantum systems. Here, we investigate the possibility of purifying a spatial-polarization mixed hyperentangled Bell state with the errors in both the spatial-mode and polarization DOFs, resorting to the nonlinear optics of a nitrogen-vacancy (NV) center in a diamond embedded in a photonic crystal cavity coupled to a waveguide. We present the first hyperentanglement purification protocol for purifying a pair of two-photon systems in a mixed hyperentangled Bell state with the errors in two DOFs. We also propose an efficient hyperentanglement concentration protocol for a partially hyperentangled Bell pure state, which has the maximal success probability in principle. These two protocols are useful in long-distance quantum communication with hyperentanglement.