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

International Journal of Quantum Information

A GENERATION SCHEME OF THE DISTRIBUTED FOUR-PHOTON CLUSTER-TYPE POLARIZATION-ENTANGLED STATES EXPLOITING THE INTEGRATION OF ENTANGLEMENT GATES AND THE CONTROLLED PHASE GATE

Dong Li, Junxi Wang, Xiao‐Ming Xiu, Haikuan Dong, Dan Li, Yajun Gao

Published Oct 1, 2013• 2 citations
Publisher

Abstract

We propose a scheme for preparing the distributed four-photon cluster-type polarization-entangled states associated with the integration of the controlled phase gate and two kinds of entanglement gates. Employing weak cross-Kerr nonlinear interactions and Homodyne measurement, two individual photons entangle together based on the bus function of coherent states. Assisted by optical elements mainly including polarization beam splitters, the entanglement of the signal photons is converted from the spatial mode to the polarization mode. The application of classical feed forward provides the high-efficiency to the preparation of Einstein–Podolsky–Rosen (EPR) states, Greenberger–Horne–Zeilinger (GHZ) states, and four-photon cluster-type polarization-entangled states. With regard to the four-photon cluster-type state, it can be generated in two distributed nodes with less experimental requirements, integrating the features of three logical gates.

DOI
10.1142/s0219749913500640

Related papers

Preparing, linking, and unlinking cluster-type polarization-entangled states by integrating modules

Xiao‐Ming Xiu, Dong Li, Hong-Zhi Shen +2 more

Integrating the modules of the controlled phase-flip gate, the distributed entanglement gate, and the simplified entanglement gate, we propose schemes for preparing, linking, and unlinking standard cluster-type polarization-entangled states, which are achieved by performing different operations for cluster-type states consisting of even and odd photons, in company with Hadamard gate operations and other single-photon operations.Mediated by weak cross-Kerr nonlinear interactions, two individual photons interact with each other depending on the assistance of the coherent state in Kerr media.Exploiting homodyne measurement and polarization beam splitters, the photon paths take on a certain ambiguity and photons entangle together in the polarization mode.Assisted by a classical feed-forward, these aforementioned modules can be realized with an efficiency approaching unity.Employing the module of the controlled phase-flip gate, standard even-and odd-photon cluster-type states can be prepared, which are distinguished by the different photons performed by Hadamard gate operations.Linking two or more standard cluster-type states, a new standard cluster-type state can be produced after combination of the module of the controlled phase-flip gate and Hadamard gate operations.Dividing, truncating, or pinching a multi-photon cluster-type state can be accomplished by applying the module of the controlled phase-flip gate and single-photon operations including Hadamard gate operations.. . . . . . .

Progress of Theoretical and Experimental Physics•Sep 1, 2013•11 citations

Generation of four-photon polarization entangled states with cross-Kerr nonlinearity

Meiyu Wang, Fengli Yan

We show how to prepare three different types of four-photon polarization entangled states among four modes. The scheme only use cross-Kerr medium, polarization beam splitters and X homodyne measurements on coherent light fields, which can be efficiently implemented in quantum optical laboratories. GHZ states and symmetric Dick states can be generated in deterministic way based on the scheme. With the possible availability of suitable strong Kerr nonlinearity, another type of entangled state called genuine four-photon entangled state can be realized as well.

International Journal of Quantum Information•May 29, 2015•1 citation

Generation of four-photon polarization entangled decoherence-free states with cross-Kerr nonlinearity

Meiyu Wang, Fengli Yan, Ting Gao

Abstract We propose a theoretical protocol for preparing four-photon polarization entangled decoherence-free states, which are immune to the collective noise. With the assistance of the cross-Kerr nonlinearities, a two-photon spatial entanglement gate, two controlled-NOT gates, a four-photon polarization entanglement gate are inserted into the circuit, where X homodyne measurements are aptly applied. Combined with some swap gates and simple linear optical elements, four-photon polarization entangled decoherence-free states which can be utilized to represent two logical qubits, |0〉L and |1〉L are achieved at the output ports of the circuit. This generation scheme may be implemented with current experimental techniques.

Scientific Reports•Nov 30, 2016•17 citations

EFFICIENT SCHEME FOR PREPARING POLARIZATION-ENTANGLED PHOTONIC CLUSTER STATES BASED ON CROSS-KERR NONLINEARITY

Meng-Zheng Zhu, Yuan Guang-yu

A scheme is proposed for generating a polarization four-photon cluster, which is believed to be suitable to achieve the one-way quantum computing via single-qubit projective measurements, with the help of only cross-Kerr nonlinearity and current linear optical systems. Compared with the existing schemes, the distinct advantage of the present scheme is that cluster states can be achieved with high success probability close to unity. Our scheme is experimentally demanding but efficient. Based on the present scheme, the cluster state of 3N + 1 photons can be obtained with the help of linear optical elements.

International Journal of Quantum Information•May 25, 2011•1 citation

Construction scheme of a two-photon polarization controlled arbitrary phase gate mediated by weak cross-phase modulation

Xiao‐Ming Xiu, Dong Li, Hong-Zhi Shen +2 more

We propose a construction scheme of a two-photon polarization controlled arbitrary phase gate based on weak cross-phase modulation. Assisted with weak cross-phase modulation and homodyne measurement on the coherent states, the individual photons are entangled together. Employing the combination of optical elements and classical feed-forward techniques, the target photon can have a conditionally shifted arbitrary phase with efficiency approaching nearly unity. With a large-amplitude coherent state, the high success probability of the controlled arbitrary phase gate can be guaranteed.

Journal of the Optical Society of America B•Feb 15, 2013•27 citations

Generation of four-photon polarization-entangled cluster states via cross-Kerr nonlinearity

Lai Bo-Hui, Du Gang, Yu Ya-Fei +3 more

We propose a scheme for generating four-photon polarization-entangled cluster states based on the cross-Kerr nonlinear interaction between field-modes. Compared with other schemes, our scheme introduces the idea of parity gate and uses the non-destructive measurement method based on homodyne detection, which is easier to implement in experiment.

Acta Physica Sinica•Jan 1, 2010•7 citations
We propose a scheme for preparing the distributed four-photon cluster-type polarization-entangled states associated with the integration of the controlled phase gate and two kinds of entanglement gates. Employing weak cross-Kerr nonlinear interactions and Homodyne measurement, two individual photons entangle together based on the bus function of coherent states. Assisted by optical elements mainly including polarization beam splitters, the entanglement of the signal photons is converted from the spatial mode to the polarization mode. The application of classical feed forward provides the high-efficiency to the preparation of Einstein–Podolsky–Rosen (EPR) states, Greenberger–Horne–Zeilinger (GHZ) states, and four-photon cluster-type polarization-entangled states. With regard to the four-photon cluster-type state, it can be generated in two distributed nodes with less experimental requirements, integrating the features of three logical gates.
Integrating the modules of the controlled phase-flip gate, the distributed entanglement gate, and the simplified entanglement gate, we propose schemes for preparing, linking, and unlinking standard cluster-type polarization-entangled states, which are achieved by performing different operations for cluster-type states consisting of even and odd photons, in company with Hadamard gate operations and other single-photon operations.Mediated by weak cross-Kerr nonlinear interactions, two individual photons interact with each other depending on the assistance of the coherent state in Kerr media.Exploiting homodyne measurement and polarization beam splitters, the photon paths take on a certain ambiguity and photons entangle together in the polarization mode.Assisted by a classical feed-forward, these aforementioned modules can be realized with an efficiency approaching unity.Employing the module of the controlled phase-flip gate, standard even-and odd-photon cluster-type states can be prepared, which are distinguished by the different photons performed by Hadamard gate operations.Linking two or more standard cluster-type states, a new standard cluster-type state can be produced after combination of the module of the controlled phase-flip gate and Hadamard gate operations.Dividing, truncating, or pinching a multi-photon cluster-type state can be accomplished by applying the module of the controlled phase-flip gate and single-photon operations including Hadamard gate operations.. . . . . . .
We show how to prepare three different types of four-photon polarization entangled states among four modes. The scheme only use cross-Kerr medium, polarization beam splitters and X homodyne measurements on coherent light fields, which can be efficiently implemented in quantum optical laboratories. GHZ states and symmetric Dick states can be generated in deterministic way based on the scheme. With the possible availability of suitable strong Kerr nonlinearity, another type of entangled state called genuine four-photon entangled state can be realized as well.
Abstract We propose a theoretical protocol for preparing four-photon polarization entangled decoherence-free states, which are immune to the collective noise. With the assistance of the cross-Kerr nonlinearities, a two-photon spatial entanglement gate, two controlled-NOT gates, a four-photon polarization entanglement gate are inserted into the circuit, where X homodyne measurements are aptly applied. Combined with some swap gates and simple linear optical elements, four-photon polarization entangled decoherence-free states which can be utilized to represent two logical qubits, |0〉L and |1〉L are achieved at the output ports of the circuit. This generation scheme may be implemented with current experimental techniques.
A scheme is proposed for generating a polarization four-photon cluster, which is believed to be suitable to achieve the one-way quantum computing via single-qubit projective measurements, with the help of only cross-Kerr nonlinearity and current linear optical systems. Compared with the existing schemes, the distinct advantage of the present scheme is that cluster states can be achieved with high success probability close to unity. Our scheme is experimentally demanding but efficient. Based on the present scheme, the cluster state of 3N + 1 photons can be obtained with the help of linear optical elements.
We propose a construction scheme of a two-photon polarization controlled arbitrary phase gate based on weak cross-phase modulation. Assisted with weak cross-phase modulation and homodyne measurement on the coherent states, the individual photons are entangled together. Employing the combination of optical elements and classical feed-forward techniques, the target photon can have a conditionally shifted arbitrary phase with efficiency approaching nearly unity. With a large-amplitude coherent state, the high success probability of the controlled arbitrary phase gate can be guaranteed.