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International Symposium on Information Theory and its Applications

On attainment of the capacity of broadband quantum channel by wavelength division multiplexing

Yoshio Takamura, Shogo Usami, Tsuyoshi Sasaki Usuda

Published Oct 1, 2010• 2 citations
Publisher

Abstract

Recently, the exact solution of the capacity of an attenuated quantum channel which is a model of a long distance optical fiber channel was derived [V. Giovannetti, et al., Phys. Rev. Lett. 90, 027902, (2004)]. In particular, the capacity of a broadband quantum channel, which is the ultimate limit of quantum communications, was shown. In this paper, we consider wavelength division multiplexing in order to attain the capacity of a broadband quantum channel.

DOI
10.1109/isita.2010.5649485

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Recently, the exact solution of the capacity of an attenuated quantum channel which is a model of a long distance optical fiber channel was derived [V. Giovannetti, et al., Phys. Rev. Lett. 90, 027902, (2004)]. In particular, the capacity of a broadband quantum channel, which is the ultimate limit of quantum communications, was shown. In this paper, we consider wavelength division multiplexing in order to attain the capacity of a broadband quantum channel.
In 2004, Giovannetti and others gave both the broadband and narrowband channel capacities of an attenuated quantum channel [1]. However, the derived broadband channel capacity is impossible to realize. Therefore, we treat the broadband channel capacity as an upper bound and it is necessary to derive an achievable limit. In a previous work, to show the true capacity, the capacity by wavelength division multiplexing (WDM) was defined and compared with the broadband channel capacity when there is no attenuation [7]. We consider more detailed properties of this WDM capacity and attenuated channels with frequency-dependent loss.
We numerically evaluate the wavelength division multiplexing (WDM) data transmission of coherent phase-shift keying (PSK) and quadrature amplitude modulation (QAM) signals in optical fiber communication and deep-space communication channels with conventional homodyne-based(dyne-type) detections and various quantum detection strategies. We show the quantitative gap between these detection strategies and especially in the quantum-limited region where the quantum noise seriously limits the transmission rate. For an extremely weak signal input power, there is a crucial gap between the capacity limit and the transmission rates of the WDM system with dyne-type detections. We show that this gap is filled by applying a collective square root detection (SRD) only for each channel, not necessary for quantum collective decoding among WDM channels.
We discuss recent work in quantum communication, and in some details present a bright, narrowband, portable, quasi-phase-matched two-crystal source generating polarization-entangled photon pairs at 809 nm and 1555 nm. We also show how the single-photon quantum channel at 1555 nm and a classical synchronization signal gating the single photon detector at the receiving side can be multiplexed in the same optical fiber of length 27 km by means of wavelength division multiplexers (WDM) having 100 GHz (0.8 nm) spacing between channels. This illustrates how single-photon quantum communication applications is compatible with current high-speed optical networks.
We numerically evaluate the transmission rates of a single fiber with the wavelength-division-multiplexing (WDM) transmission of coherent signals with conventional homodyne-based (dyne-type) detections and various quantum detection strategies. We reveal the quantitative gap between these detection strategies especially in the quantum-limited region where the quantum noise seriously limits the transmission rate. For an extremely weak signal input power, there is a crucial gap between the capacity limit and the transmission rates of the WDM system with dyne-type detections. We show that this gap is filled by applying a collective square root detection (SRD) only for each channel, not necessary for quantum collective decoding among WDM channels.