Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing

Abstract

In spontaneous parametric down conversion (SPDC) based quantum information processing (QIP) experiments, there is a tradeoff between the coincide count rates (i.e. the pumping power of the SPDC), which limits the rate of the protocol, and the visibility of the quantum interference, which limits the quality of the protocol. This tradeoff is mainly caused by the multi-photon pair emissions from the SPDCs. In theory, the problem is how to model the experiments without truncating these multi-photon emissions while including practical imperfections. In this paper, we establish a method to theoretically simulate SPDC based QIPs which fully incorporates the effect of multi-photon emissions and various practical imperfections. The key ingredient in our method is the application of the characteristic function formalism which has been used in continuous variable QIPs. We apply our method to three examples, the Hong-Ou-Mandel interference and the Einstein-Podolsky-Rosen interference experiments, and the concatenated entanglement swapping protocol. For the first two examples, we show that our theoretical results quantitatively agree with the recent experimental results. Also we provide the closed expressions for these the interference visibilities with the full multi-photon components and various imperfections. For the last example, we provide the general theoretical form of the concatenated entanglement swapping protocol in our method and show the numerical results up to 5 concatenations. Our method requires only a small computation resource (few minutes by a commercially available computer) which was not possible by the previous theoretical approach. Our method will have applications in a wide range of SPDC based QIP protocols with high accuracy and a reasonable computation resource.

14 pages, 9 figures. Published version

References in corpus (9)

• Photonic Boson Sampling in a Tunable Circuit
• A wavelength-tunable fiber-coupled source of narrowband entangled photons
• High-speed linear optics quantum computing using active feed-forward
• Discrimination of the binary coherent signal: Gaussian-operation limit and simple non-Gaussian near-optimal receivers
• One-mode Bosonic Gaussian channels: a full weak-degradability classification
• Highly efficient entanglement swapping and teleportation at telecom wavelength
• A pulsed Sagnac source of narrowband polarization-entangled photons
• Efficient generation of twin photons at telecom wavelengths with 10 GHz repetition-rate tunable comb laser
• Multi-qubit entanglement engineering via projective measurements

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