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The Japan Society of Applied Physics

Broadband Balanced Homodyne Detection of Femtosecond Photon Echo Pulses

Rei Matsushita, Terence Blésin, Kouichi Akahane, Junko Hayase

Published Feb 8, 2018• 0 citations
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The efficient transfer of a quantum state from photons to matter qubits in order to momentarily store information has become a central problem in quantum information processing. A quantum memory turns out to be an essential tool to achieve advanced technologies such as quantum networks, quantum repeaters, deterministic single photon sources or linear optics quantum computers. The realization of a quantum interface has been investigated in various forms, among which one can find solid-state atomic ensembles, color centers in crystal lattices, cold atomic gases, optical phonons in diamond and many others. Here we focus on a broadband quantum interface for high repetition rate (76 MHz) ultrafast optical pulses (250 fs) at telecommunication wavelength (1530 nm) based on the photon echo process occurring in semiconductor quantum dots. We evaluated the quantum state of photonic qubits in order to characterize the impact of the storage on the transmitted signal. Homodyne traces corresponding to projections of the Wigner function of the signal on rotated quadrature components were obtained using broadband balanced homodyne detection, i.e. mixing the ultrafast optical pulses to analyze with a high repetition rate pulsed local oscillator. The reconstruction of the Wigner function from the homodyne traces was performed using three algorithms: the inverse Radon transform, the minimax adaptive reconstruction and the maximum likelihood estimation. The three methods lead to similar results, concluding that for an input pulse in a coherent state, the reemitted photon echo is also in a coherent state.
A balanced homodyne detection scheme with nanosecond time resolution and sub-shot-noise sensitivity has been developed and successfully tested yielding an efficient detection scheme for high-speed quantum-optical measurements and communication protocols, for example, quantum cryptography. The parameters of the detector and its precise balancing allow complete characterization of quantum states created by femtosecond light pulses that include the measurement of photon number, optical phase, and statistical properties with a high signal-to-noise ratio for the whole bandwidth from DC to several tens of megahertz. The electronic part of the detector is based on a commercially available amplifier that provides ease of construction and use while yielding good performance.
A fundamental problem in quantum optics is to measure a quadrature operator of a mode described by a shape in the time or frequency domain. This can be done by pulsed homodyne detection, in which the signal and a high-amplitude pulsed local oscillator (LO) interfere on a beam splitter whose output ports are monitored by photodetectors. The quadrature value is proportional to the difference between the photodetectors' signals. When the shape of the mode is too broad in frequency, the lack of uniform spectral response of detectors prevents direct application of this technique. We show that pulsed homodyne detection can be generalized to broadband pulsed (BBP) homodyne detection with detectors such as calorimeters that detect total energy instead of total photon number. This generalization has applications in measurements of femtosecond pulses and, speculatively, of Rindler modes. We analyze how the implemented measurement approaches an ideal quadrature measurement with growing LO amplitude, and we prove that the moments of the measurement converge to the moments of the quadrature and that the measurement distributions converge weakly.