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Journal of the Optical Society of America B

Scheme for generating a long-distance two-photon entangled state in a noisy channel via time-bin encoding and decoding

Songyang Wu, Wen‐Xue Cui, Zhao Jin, Shou Zhang, Hong‐Fu Wang

Published Jan 19, 2017• 1 citation
Publisher

Abstract

A scheme is proposed for generating a long-distance two-photon entangled state in a noisy channel with the help of a cross-Kerr medium and photon number measurement via time-bin encoding and decoding. In the scheme, the influence of the noise can be eliminated effectively through time-bin encoding and decoding, the photon number detector is used to distinguish vacuum and nonvacuum states, and the minus conditional phase shift is not required. The method is also useful in other types of large-scale and long-distance quantum information processing via noisy channels.

DOI
10.1364/josab.34.000412

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A scheme is proposed for generating a long-distance two-photon entangled state in a noisy channel with the help of a cross-Kerr medium and photon number measurement via time-bin encoding and decoding. In the scheme, the influence of the noise can be eliminated effectively through time-bin encoding and decoding, the photon number detector is used to distinguish vacuum and nonvacuum states, and the minus conditional phase shift is not required. The method is also useful in other types of large-scale and long-distance quantum information processing via noisy channels.
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Abstract Herein, we present a scheme to prepare a hybrid-entangled W state that possesses the polarization states of two photons and the time-bin using cross-Kerr nonlinearities (XKNLs) and linearly optical devices. To maximize the merit of the entangled W state that can conserve entanglement against the loss of one qubit, we propose a method to prepare a two-photon hybrid-entangled W state correlated with degrees of freedom (polarization and the time-bin) via nonlinearly optical gates using XKNLs. In our scheme, the nonlinear gates consist of weak XKNLs, quantum bus beams, and photon-number-resolving measurements to realize the controlled-path gate and merging-path gate between two photons. To insert the time-bin information into photons, the time-bin encoder employs only linearly optical devices (delay lines and polarizing beam splitters). Subsequently, to evaluate the efficiency and experimental feasibility of our scheme for generating a two-photon hybrid-entangled W state, we analyzed the performance of nonlinear gates using XKNLs under the decoherence effect.
We present two hyperentangled concentration schemes for two-photon systems in a partially hyperentangled Bell state that is simultaneously entangled in polarization, spatial mode and time-bin degrees of freedom (DOFs). The first scheme extracts a maximally hyperentangled Bell state using cross-Kerr nonlinearity, which is discussed in two cases of unknown and known coefficients. We construct quantum nondemolition detectors based on cross-Kerr nonlinearities to implement the polarization and spatial parity check. In this scheme, we only require a small phase shift, as long as it can be distinguished from zero. The second scheme is used to concentrate an initial partially hyperentangled state with only linear optical elements, where coefficients of the initial state are known. Both of the two schemes are feasible with the current experimental technology. Moreover, hyperentanglement DOFs can largely improve the channel capacity of long-distance quantum communication. All of these make our schemes more practical and useful in quantum communication.
A scheme for generating W state by using single-photon interference and time-bin encoding in polarization noise channels is proposed. We show that polarization noise cannot affect the fidelity of the intended entangled state generation, and that the successful probability does not change as the number of atoms in a single quantum node increases. Moreover, the proposed scheme can be generalized to prepare entanglement among NNN quantum nodes.
Entanglement among multiple parties is vital for practical quantum information applications. Astwo kinds of typical multipartite entangled state, the W and Greenberger-Horne-Zeilinger (GHZ)states have attracted a lot of attention. In this paper, we propose two practical linear optical schemes for multipartite entanglement distribution in noisy channels. Using the time-bin or spatial-mode degree of freedom (DoF) encoding, the influence of the noise will be eliminated and perfect W or GHZ state can be achieved among different nodes in a deterministic way. Moreover, we construct quantum circuits, which can be implemented with current technology. These results contribute to long-distance quantum communication both in theoretical and experimental points of view.
Recent studies have shown long-distance entanglement using NV centers, atoms, and quantum dots with single-photon time-bin encoding. We propose a method to entangle remote superconducting qubits via microwave-optical transduction using multi-time-bin states. By adapting conventional entanglement swapping techniques, fidelity improves from 0.75 to 0.980.980.98 in transduction systems, and 0.66 to 0.89 in noisy channels. The protocol mitigates thermal noise without relying on purification and offers a practical path toward scalable, heterogeneous quantum systems.