Single photon detection using avalanche photodiode

a master thesis done in Quantum Cryptography Project at the Department of Electronics and Telecommunications
Student:  Torbjoern Nesheim, Torbjoern.Nesheim@kongsberg.com
Supervisor:  Professor Dag Roar Hjelme
Delivered:  January 1999

Torbjoern started to develop the single photon detector, which is an important part of the quantum key distribution (QKD) channel.

This work was later followed by Kirill Vylegjanine's thesis that introduced afterpulse blocking technique, which lifted the limitation on gate pulse rate (repetition rate).

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Abstract

Quantum cryptation is a new radical approach to the art of cryptography. This new method utilizes the quantum nature of single photons. By doing this in conjunction with a specially designed protocol, data can be transferred with a proven security.

The objective of this thesis was to design and test a single photon detector, a part in a quantum cryptation experimental setup. Circuits and other mechanical arrangement were developed.

The physical properties of the avalanche photo diode (APD), which is the detection component in the system, are important to understand. The goal is to keep the dark count rate as low as possible. The APD, which was operated in the Geiger mode, was sensitive to several parameters. By some preliminary trials it was concluded that the gate width should be as narrow as possible to prevent dark counts. This would also make it possible to increase upper limit of the repetition rate. But a too high value of the repetition rate increases the dark count rate significantly due to a process called trapping.

Some models for evaluating the APD and the performance of the system were developed. A detector efficiency of 50% was achieved with an error rate of 0.5%. Better efficiencies were achieved at the cost of higher error rates, and reverse. Based on the detection efficiency models, the system performs better at low detector efficiencies and high repetition rates. But the model did not give an obvious optimal point, and the user should decide himself what properties are more important.

It was thought that raising the temperature above its normal level of 77K might have been advantageous, but no improvements were observed for this detector. The performance declined instead.

Task formulation by the supervisor

Utilization of the quantum nature of the transmitted light in optical systems requires fiber optic compatible, single-photon detectors operating at the 1300nm or 1500nm transmission windows. Studies have shown that single-photon detection can be achieved using cooled InGaAs APDs in a gated operating mode (Geiger mode).

In this thesis the student will develop and test the performance of cooled and gated detector modules intended for use in a quantum cryptography experiment. Physical properties of the APD in gated mode will be investigated and related to the operational parameters of the system. This will lead to a model describing the optimized point of operation for single photon detection.

APD in Geiger mode

The only practical way to detect single photons at 1300nm and 1550nm today is by using cooled APDs.
No detection modules were commercially available, and we had to construct one ourselves1.

In Geiger mode, the reverse voltage on APD is kept just below the breakdown voltage level (typically 20-40 V) most of the time. When we anticipate arrival of a photon, the voltage is risen above breakdown threshold (see figure below). Normally, no avalanche occurs, but if a photon actually comes in and is absorbed in the APD junction where it generates an electron-hole pair, this can cause an avalanche. The current through the APD quickly rises to macroscopic values (e.g. 0.5 mA) and you can observe a pulse at the output of the amplifier. When the voltage on the APD is lowered below breakdown, the avalanche - and the output pulse - ends.

Schematic: APD in Geiger mode
Differential circuit and voltage diagram for operating APD in Geiger mode

Our scheme uses differential circuit to cancel curent spikes flowing through the APD capacitance (few pF) at the rising and falling edges of the gating pulse. When it is properly tuned, i.e. when the length of transmission lines and the variable capacitor are adjusted to make the arms electrically identical in the absence of avalanches, there is no signal on the output. If an avalanche occurs, it produces a nice short pulse.

We tested few different APDs. The one we ended up using was Russian-made FD312L (Ge, 1300nm).
The APD is cooled down to reduce dark count rate. We used liquid nitrogen cooling (77K).

The output pulses are latched by a digital circuit, buffered in a high-speed memory and eventually read by Bob's computer in a QKD channel (but these are topics of later publications).

1If you are looking for a single-photon detector for 400nm to 1100nm wavelength range, PerkinElmer (formerly EG&G) makes a good one based on Si APDs. For longer wavelengths (down to 1.6um), check the detection modules from id Quantique and HIOKI. It's actually not very difficult to make one yourself, and it can even suit your application better. You may ask us.


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