The field-orthogonal temporal modes (TM) of electromagnetic fields form a new framework for quantum information. A lot of efforts have been made to develop the tools for photonic quantum information processing in TM framework. However, the distribution of temporally multiplexed quantum states over long distance optical fibers has not been realized yet. As a first step toward long distance distribution of TMs, we study fourth-order interference and show how the dispersion influence the field spectrum by launching a pulsed field in different temporal modes into a M-Z interferometer with unbalanced dispersion induced by transmission fibers in two arms. The investigation is useful for further investigating the distribution of temporally multiplexed quantum states in fiber network.
A modified coherent state is created by mixing a coherent state with optical field from parametric down-conversion in a beam splitter. A two-photon interference effect will cancel the two-photon state. This modified coherent state has ad-vantage over the conventional weak coherent state currently used widely in quantum cryptography. We make numerical analysis on the improvement in secure data rate and transmission distance with the modified coherent state. With a three-photon interference effect to cancel the three-photon state, further improvement is shown to be possible in a newly proposed protocol for quantum cryptography.
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