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

Journal of the Optical Society of America B

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, Yajun Gao, X. X. Yi

Published Feb 15, 2013• 27 citations
Publisher

Abstract

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.

DOI
10.1364/josab.30.000589

Related papers

Quantum Fourier transform of polarization photons mediated by weak cross-Kerr nonlinearity

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

We present a scheme of two-photon quantum Fourier transform at first, where the controlled π/2 phase gate and the Hadamard gates are applied. The indirect interaction between two photons can be realized through a coupling bus provided by a coherent state in Kerr media. Employing photon-number measurements and the corresponding classical feed-forward techniques, the task of low-error quantum Fourier transform can be fulfilled. With revision and modulation on the optical elements, controlled π/2n (n=2,3,…) phase gates are constructed, and the multiphoton quantum Fourier transform can be achieved by integrating these controlled phase gates and Hadamard gates.

Journal of the Optical Society of America B•Sep 30, 2013•21 citations

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 +3 more

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.

International Journal of Quantum Information•Oct 1, 2013•2 citations

Generating polarization-entangled W states using weak nonlinearity

Ming Yuan Gao, Wenhua Hu, Cheng-Zu Li

We present a scheme for preparing three-photon polarization-entangled W states. The signal photons and a strong probe field interact via weak cross-Kerr nonlinearity that conditionally causes a phase shift on the probe coherent state. A W state is then prepared with a high success probability by the homodyne measurement and postselection. The generating method is simple and efficient.

Journal of Physics B Atomic Molecular and Optical Physics•Aug 28, 2007•20 citations

Quantum control gates with weak cross-Kerr nonlinearity

Qing Lin, Jian Li

In this paper, with the weak cross-Kerr nonlinearity, we first present a special experimental scheme called controlled-path gate with which the realization of all possible bipartite positive-operator-value measurements of two-photon polarization states may be nearly deterministic. Following the same technique, the realization of quantum control gates, including the controlled-NOT gate, Fredkin gate, Toffoli gate, arbitrary controlled-U gate, and even arbitrary multicontrolled-U gate, are proposed. The corresponding probabilities are $1∕2$, $1∕8$, $2∕23$, etc., respectively. Only the coherent states are required but not any ancilla photons, and no coincidence measurement are required, which results in these gates being scalable. The structures of these gates are very simple, therefore we think they are feasible with the current experimental technology in optics.

arXiv:0811.3364•Physical Review A•Feb 2, 2009•169 citations

Nearly deterministic Fredkin gate based on weak cross-Kerr nonlinearities

Li Dong, Yan-Fang Lin, Jun-Xi Wang +7 more

A Fredkin gate is an indispensable logic gate for the applications of the scalable quantum network. Weak cross-Kerr nonlinearities serve as the intermediary between photons and coherent states and thus provide the indirect interaction between photons. By means of weak cross-Kerr nonlinearities, we propose a construction scheme of a nearly deterministic Fredkin gate, where polarization modes of photons carry quantum bits. By virtue of an X homodyne measurement on the coherent state, the appropriate classical feed-forward operations are executed according to the different measurement outcomes. Applying one swap gate and two combination gates and other assistant simple optical elements, the nearly deterministic Fredkin gate is successfully constructed. The unique features of photons as quantum information carriers with high velocity and low decoherence, combined with simple elements and mature operation techniques, afford the possibility to the scheme proposed here which takes aim at feasible quantum logic circuits for practical and scalable quantum computation and quantum communication.

Journal of the Optical Society of America B•Jan 20, 2016•21 citations

Efficient distributed controlled Z gate without ancilla single-photons via cross-phase modulation

Meng-Zheng Zhu, Liu Ye

A scheme is proposed to directly implement a controlled Z gate for two remote photonic qubits based on the weak cross-Kerr nonlinearity and intense coherent states of light. The distributed controlled Z gate can be used to achieve the remote creation of entangled states and can be extended to perform distributed quantum computation. The distinct advantage of the present scheme in contrast with the existing schemes is that ancilla single-photons are not needed. The total success probability and fidelity of the present controlled Z gate can approach unit in principle. We investigate photon losses of the qubus beam during the transmission and decoherence effects in the quantum gate caused by such photon losses. The scheme uses only basic tools in quantum optical laboratories and can be implemented in the regime of weak cross-Kerr nonlinearities. Therefore this makes us more confident in the feasibility of the proposed scheme.

Journal of the Optical Society of America B•Feb 3, 2014•6 citations
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.
We present a scheme of two-photon quantum Fourier transform at first, where the controlled π/2 phase gate and the Hadamard gates are applied. The indirect interaction between two photons can be realized through a coupling bus provided by a coherent state in Kerr media. Employing photon-number measurements and the corresponding classical feed-forward techniques, the task of low-error quantum Fourier transform can be fulfilled. With revision and modulation on the optical elements, controlled π/2n (n=2,3,…) phase gates are constructed, and the multiphoton quantum Fourier transform can be achieved by integrating these controlled phase gates and Hadamard gates.
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.
In this paper, with the weak cross-Kerr nonlinearity, we first present a special experimental scheme called controlled-path gate with which the realization of all possible bipartite positive-operator-value measurements of two-photon polarization states may be nearly deterministic. Following the same technique, the realization of quantum control gates, including the controlled-NOT gate, Fredkin gate, Toffoli gate, arbitrary controlled-U gate, and even arbitrary multicontrolled-U gate, are proposed. The corresponding probabilities are 1∕21∕21∕2, 1∕81∕81∕8, 2∕232∕232∕23, etc., respectively. Only the coherent states are required but not any ancilla photons, and no coincidence measurement are required, which results in these gates being scalable. The structures of these gates are very simple, therefore we think they are feasible with the current experimental technology in optics.
A Fredkin gate is an indispensable logic gate for the applications of the scalable quantum network. Weak cross-Kerr nonlinearities serve as the intermediary between photons and coherent states and thus provide the indirect interaction between photons. By means of weak cross-Kerr nonlinearities, we propose a construction scheme of a nearly deterministic Fredkin gate, where polarization modes of photons carry quantum bits. By virtue of an X homodyne measurement on the coherent state, the appropriate classical feed-forward operations are executed according to the different measurement outcomes. Applying one swap gate and two combination gates and other assistant simple optical elements, the nearly deterministic Fredkin gate is successfully constructed. The unique features of photons as quantum information carriers with high velocity and low decoherence, combined with simple elements and mature operation techniques, afford the possibility to the scheme proposed here which takes aim at feasible quantum logic circuits for practical and scalable quantum computation and quantum communication.
A scheme is proposed to directly implement a controlled Z gate for two remote photonic qubits based on the weak cross-Kerr nonlinearity and intense coherent states of light. The distributed controlled Z gate can be used to achieve the remote creation of entangled states and can be extended to perform distributed quantum computation. The distinct advantage of the present scheme in contrast with the existing schemes is that ancilla single-photons are not needed. The total success probability and fidelity of the present controlled Z gate can approach unit in principle. We investigate photon losses of the qubus beam during the transmission and decoherence effects in the quantum gate caused by such photon losses. The scheme uses only basic tools in quantum optical laboratories and can be implemented in the regime of weak cross-Kerr nonlinearities. Therefore this makes us more confident in the feasibility of the proposed scheme.