In this paper, we describe two approaches to optimize the Phase-Mode pipelined parallel multiplier. One of the approaches is reforming a data distribution for an AND array, which is named the hybrid structure. Another method is applying a Booth encoder as a substitute of the AND array in order to generate partial products. We design a 2-bit 2-bit Phase-Mode Booth encoder and test the circuit by the numerical simulations. The circuit consists of 21 ICF gates and operates correctly at a throughput of 37.0 GHz. The numbers of Josephson junctions and the pipelined stages in each scale of multipliers are reduced remarkably by using the encoder. According to our estimations, the Phase-Mode Booth encoder is the effective component to improve the performance of large-scale parallel multipliers.

We have designed and implemented a 4-bit Carry Look-ahead Adder (CLA) and 4-bit parallel multipliers to be used for the Fast Fourier Transform (FFT) system with the estimated clock frequency of 20 GHz. Through some high frequency functional tests, we have confirmed that the operation of the CLA has been successful. Through some low speed tests, we have also confirmed that the operation of multiplication has been successful. In addition, we have designed a 4-bit multiplier with a Booth encoder and with a 2-point-4-bit butterfly circuit.

A binary counter circuit in the extended phase-mode logic (EPL) family is presented. The EPL family utilizes a single flux quantum as an information bit carrier. Numerical simulations show that a binary counter circuit with a Josephson critical current density of 1 kA/cm2 can operate up to a 30 GHz input signal. The circuit has been fabricated using Nb/AlOx/Nb Josephson junction technology. New interface circuits are employed in the fabricated chip. A low speed test result shows the correct operation of the binary counter.

We present two types of ICF (INHIBIT Controlled by Fluxon) gates as the basic circuits of the phase-mode logic family, and fabricate an adder circuit. The experimental result demonstrates that the carry operation followed up to 99 GHz input pulses. The performance of Josephson devices is improved by the use of junctions with high current density (Jc). We may use the high-Jc junctions without external resistive shunt in the phase-mode logic circuits because of reduction of the junction hysteresis. One of the ways to overcome the large area occupancy for geometric inductance is to utilize the effective inductance of a Josephson junction itself. We investigate a circuit construction with high-Jc inductor junctions, intrinsically overdumped junctions and junction-type resistors for the compactness of circuit integration, and discuss various aspects of the circuit construction.

We propose an improved design of a neuron circuit, using coupled SQUIDs gates, for a superconducting neural network. An activation function with step-like input vs. output characteristics is desirable for a neuron circuit to solve a combinatorial optimization problem. The proposed neuron circuit is composed of two coupled SQUIDs gates with a cascade connection, in order to obtain such characteristics. The designed neuron circuit is fabricated by a 2.5kA/cm2 Nb/AlOx/Nb process. The operation of a fabricated neuron circuit is experimentally demonstrated. Network performance of a neural network using proposed neuron circuits is also estimated by numerical dynamic simulations.

We experimentally evaluated random number sequences generated by a superconducting hardware random number generator composed of a Josephson-junction oscillator, a rapid-single-flux-quantum (RSFQ) toggle flip-flop (TFF), and an RSFQ AND gate. Test circuits were fabricated using a 10 kA/cm2 Nb/AlOx/Nb integration process. Measurements were conducted in a liquid helium bath. The random numbers were generated for a trigger frequency of 500 kHz under the oscillating Josephson-junction at 29 GHz. 26 random number sequences of 20 kb length were evaluated for bias voltages between 2.0 and 2.7 mV. The NIST FIPS PUBS 140-2 tests were used for the evaluation. 100% pass rates were confirmed at the bias voltages of 2.5 and 2.6 mV. We found that the Monobit test limited the pass rates. As numerical simulations suggested, a detailed evaluation for the probability of obtaining “1” demonstrated the monotonical dependence on the bias voltage.