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Zhongguo kexue. Wulixue Lixue Tianwenxue

Efficient generation of multi-photon W state

Qing Lin

Published Jan 1, 2012• 4 citations
Publisher

Abstract

How to create entanglement is an important problem in quantum information processing. In this paper, we propose an experimental scheme to generate multi-photon W state using c-path gate and merging gate introduced in the former works. Compared with the other linear optical schemes, our scheme is deterministic without post-selection, and then there is no probabilistic problem and no limitation on the use of W state. Moreover, the required resources for generation grow linearly with the number of involved photons, which is obviously better than the polynomial growth with the traditional circuit-based quantum computation. This scheme is deterministic, suitability, and efficient, so it is feasible and suitable for large-scale quantum information processing.

DOI
10.1360/132011-852

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How to create entanglement is an important problem in quantum information processing. In this paper, we propose an experimental scheme to generate multi-photon W state using c-path gate and merging gate introduced in the former works. Compared with the other linear optical schemes, our scheme is deterministic without post-selection, and then there is no probabilistic problem and no limitation on the use of W state. Moreover, the required resources for generation grow linearly with the number of involved photons, which is obviously better than the polynomial growth with the traditional circuit-based quantum computation. This scheme is deterministic, suitability, and efficient, so it is feasible and suitable for large-scale quantum information processing.
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Entanglement among multiple particles is a keystone for not only fundamental research on quantum information but also various practical quantum information applications. In particular, the WWW state has attracted a lot of attention due to the robustness against particle loss and the applications in multiparty quantum communication. However, it is challenging to generate a photonic WWW state with a large number of photons, since the NNN-photon WWW state requires superposition among NNN probability amplitudes. In this paper, we propose an efficient linear optical scheme to generate NNN-photon WWW states via quantum erasure. The success probability of our protocol polynomially decreases as the number of photons increases. We also discuss the experimental feasibility of our protocol and anticipate that one can efficiently generate tens of photonic WWW states with our scheme using currently available quantum photonics technologies.
How to implement multi-qubit gates is an important problem in quantum information processing. Based on cross phase modulation, we present an approach to realizing a family of multi-qubit gates that deterministically operate on single photons as the qubits. A general n-qubit unitary operation is a typical example of these gates. The approach greatly relax the requirement on the resources, such as the ancilla photons and coherent beams, as well as the number of operations on the qubits. The improvement in this framework may facilitate large scale quantum information processing.
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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.
Based on two element operations, called controlled-path gate and entangler, the non-destructive multi-photon parity check could be deterministically realized. With these operations, the realization of loss-tolerant optical quantum computation, including the generation of parity states, the realization of single-particle operation and two-particle CNOT operation, could be very simple but deterministic and highly efficient. Moreover, the character of detected free of single photons in the computation, except of the parity-check, will make the requirement of single-photon resources much relax. Compared with the former linear optical schemes, this scheme with cross-phase modulation is simpler but deterministic, and more efficient but with less resource, which will make it more feasible and suitable for large-scale quantum computation.