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

Optics Express

One-step hyperentanglement purification and hyperdistillation with linear optics

Tie-Jun Wang, Leilei Liu, Ru Zhang, Cong Cao, Chuan Xi Wang

Published Apr 2, 2015• 67 citations
Publisher

Abstract

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.

DOI
10.1364/oe.23.009284

Related papers

Hyperdistillation and hyperentanglement purification with linear optics

Leilei Liu, Ru Zhang

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.

Asia Communications and Photonics Conference•Jan 1, 2015•0 citations

Two-step hyperentanglement purification with the quantum-state-joining method

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

Hyperentanglement is a promising resource in quantum information processing, especially for increasing the channel capacity of long-distance quantum communication. Hyperentanglement purification is an important method to obtain high-fidelity nonlocal hyperentangled states from mixed hyperentangled states in a long-distance quantum communication process with noisy channels. Here, we present a two-step hyperentanglement purification protocol for nonlocal mixed hyperentangled states with polarization bit-flip errors and spatial-mode phase-flip errors, resorting to polarization-spatial phase-check quantum nondemolition detectors and the quantum-state-joining method (QSJM). With QSJM, the protocol can preserve the states that are discarded in the previous hyperentanglement purification protocols. It has the advantage of a high efficiency, and it is useful for improving the entanglement of photon systems with several degrees of freedom in long-distance high-capacity quantum communication.

arXiv:1408.0048•Physical Review A•Nov 7, 2014•162 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

Efficient hyperentanglement purification for two-photon six-qubit quantum systems

Guan-Yu Wang, Qian Liu, Fu‐Guo Deng

Recently, two-photon six-qubit hyperentanged states were produced in experiment and they can improve the channel capacity of quantum communication largely. Here we present the first 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 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. 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.

•Jul 1, 2016•3 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

Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system

Fang‐Fang Du, Gang Fan, Yi-Ming Wu +1 more

We present a faithful and efficient hyperentanglement purification protocol (hyper-EPP) for nonlocal two-photon systems in spatial-polarization-time-bin hyperentangled Bell states. As the single-photon detectors can detect and herald the undesirable properties caused by side leakage and finite coupling strength, the parity-check gates and swap gates of our hyper-EPP in the spatial, polarization and time-bin mode degrees of freedom (DoFs) work faithfully. The qubit-flip errors in photon systems in three DoFs can be corrected effectively with the faithful parity-check gates and the photon pairs can be reused to distill high-fidelity ones by introducing the faithful swap gates, which greatly increases the efficiency of our hyper-EPP. Further, the maximal hyperentanglement can be obtained in principle by operating multiple rounds of the hyper-EPP.

Chinese Physics B•Nov 17, 2022•14 citations
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.
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.
Hyperentanglement is a promising resource in quantum information processing, especially for increasing the channel capacity of long-distance quantum communication. Hyperentanglement purification is an important method to obtain high-fidelity nonlocal hyperentangled states from mixed hyperentangled states in a long-distance quantum communication process with noisy channels. Here, we present a two-step hyperentanglement purification protocol for nonlocal mixed hyperentangled states with polarization bit-flip errors and spatial-mode phase-flip errors, resorting to polarization-spatial phase-check quantum nondemolition detectors and the quantum-state-joining method (QSJM). With QSJM, the protocol can preserve the states that are discarded in the previous hyperentanglement purification protocols. It has the advantage of a high efficiency, and it is useful for improving the entanglement of photon systems with several degrees of freedom in long-distance high-capacity quantum communication.
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.
Recently, two-photon six-qubit hyperentanged states were produced in experiment and they can improve the channel capacity of quantum communication largely. Here we present the first 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 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. 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.
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.
We present a faithful and efficient hyperentanglement purification protocol (hyper-EPP) for nonlocal two-photon systems in spatial-polarization-time-bin hyperentangled Bell states. As the single-photon detectors can detect and herald the undesirable properties caused by side leakage and finite coupling strength, the parity-check gates and swap gates of our hyper-EPP in the spatial, polarization and time-bin mode degrees of freedom (DoFs) work faithfully. The qubit-flip errors in photon systems in three DoFs can be corrected effectively with the faithful parity-check gates and the photon pairs can be reused to distill high-fidelity ones by introducing the faithful swap gates, which greatly increases the efficiency of our hyper-EPP. Further, the maximal hyperentanglement can be obtained in principle by operating multiple rounds of the hyper-EPP.