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IEICE Technical Report; IEICE Tech. Rep.

Investigation of Operating Frequency of Low-Power Single-Flux-Quantum Circuits

Manami Kuniyoshi, Ken Murase, Ikki Nagaoka, Masamitsu Tanaka, Taro Yamashita, Akira Fujimaki

Published Jan 12, 2021• 0 citations
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Investigation of Timing Parameters in Single-Flux-Quantum Circuits Using Low Critical-Current Junctions and Low Bias Voltages

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In this study, the trade-off among power consumptions, operating frequencies, and error rates in low-power single-flux-quantum (SFQ) circuit is investigated. The power consumption of SFQ circuits can be reduced by the lowering critical currents ($I_{\mathrm{c}}$values) of the Josephson junctions (JJs), or the bias voltage ($V_{\mathrm{b}}$). The shifts and spreads of timing parameter fluctuations when$I_{\mathrm{c}}$and$V_{\mathrm{b}}$were lowered were numerically analyzed, with consideration of thermal noise at 4.2 K. The timing behaviors after$I_{\mathrm{c}}$was lowered were relatively simple, being based on the signal-to-noise ratio, whereas those for lowered$V_{\mathrm{b}}$values were complicated because of the dynamic behaviors of JJs driven at reduced voltage. The simulation results imply that the operating frequencies decreased because the timing windows narrowed, but the highest energy efficiency was obtained when we lowered$I_{\mathrm{c}}$or$V_{\mathrm{b}}$to 6.25% of their conventional values, and the energy reduction after lowering of$V_{\mathrm{b}}$was 26% better than that after lowering of$I_{\mathrm{c}}$. Moreover, if a small error rate (for example$10^{-6}$) is acceptable, further improvement in energy efficiency would be expected at significantly higher clock frequencies than would be the case if the SFQ circuit must exhibit error-free operation.

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Low power single flux quantum qubit control circuit without high-frequency input

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Abstract The use of high-frequency input signals from room-temperature microwave sources makes it difficult to scale up the number of quantum bits in universal quantum computers. To address this issue, superconducting single flux quantum (SFQ) integrated circuits are being explored as suitable candidates for qubit manipulation in universal quantum computers. This paper deals with a scalable SFQ qubit control circuit (SQCC) structure that requires only low-frequency input. The circuit mainly consists of a pulse generator and a counter, that output the SFQ pulse train with adjustable frequency and a controllable number of pulses, which is applicable to control single-qubit Clifford operations. The design of low-voltage rapid single flux quantum (LV-RSFQ) and energy-efficient rapid single flux quantum (ERSFQ) for the SQCC achieves low power consumption and provides a basis for scaling up SQCC to control more qubits. The proposed circuits are fabricated under the SIMIT-Nb03 process and successfully pass test verification. The achieved test results reveal that the adjustable output frequency ranges of the SQCC based on the LV-RSFQ and ERSFQ designs in order are [2.40, 8.11] GHz and [4.81, 5.14] GHz. In the operating frequency range, the circuit is able to generate the correct number of SFQ pulses under control. The controllable number range is from 1 to 128. When the circuits operate at 5 GHz, the total power consumptions of the above circuits in order are 23.88 μW and 6.2 μW. All input signals are low-frequency signals, which frees the control of large-scale qubits from limitations caused by high-frequency inputs produced by room-temperature microwave sources.

Superconductor Science and Technology•Jul 11, 2023•4 citations
In this study, the trade-off among power consumptions, operating frequencies, and error rates in low-power single-flux-quantum (SFQ) circuit is investigated. The power consumption of SFQ circuits can be reduced by the lowering critical currents (IcI_{\mathrm{c}}Ic​values) of the Josephson junctions (JJs), or the bias voltage (VbV_{\mathrm{b}}Vb​). The shifts and spreads of timing parameter fluctuations whenIcI_{\mathrm{c}}Ic​andVbV_{\mathrm{b}}Vb​were lowered were numerically analyzed, with consideration of thermal noise at 4.2 K. The timing behaviors afterIcI_{\mathrm{c}}Ic​was lowered were relatively simple, being based on the signal-to-noise ratio, whereas those for loweredVbV_{\mathrm{b}}Vb​values were complicated because of the dynamic behaviors of JJs driven at reduced voltage. The simulation results imply that the operating frequencies decreased because the timing windows narrowed, but the highest energy efficiency was obtained when we loweredIcI_{\mathrm{c}}Ic​orVbV_{\mathrm{b}}Vb​to 6.25% of their conventional values, and the energy reduction after lowering ofVbV_{\mathrm{b}}Vb​was 26% better than that after lowering ofIcI_{\mathrm{c}}Ic​. Moreover, if a small error rate (for example10−610^{-6}10−6) is acceptable, further improvement in energy efficiency would be expected at significantly higher clock frequencies than would be the case if the SFQ circuit must exhibit error-free operation.
Single flux quantum (SFQ) logic circuits, in which a single flux quantum is used for an information carrier, have a possibility to open a new digital system operated with over 100 GHz clock frequencies at extremely low power dissipations. Recently, much progress in basic technologies for designing SFQ circuits and operating circuits with high speeds has been done. By taking advancements in these designing tools, circuits including more than several thousands junctions easily operated with the clock frequency of more than several tens GHz. Applications of SFQ circuits such as high performance computers, high end router and high end servers are being developed in the world taking advantages of the high through-put nature and the low power dissipation of the SFQ logic.
Abstract The use of high-frequency input signals from room-temperature microwave sources makes it difficult to scale up the number of quantum bits in universal quantum computers. To address this issue, superconducting single flux quantum (SFQ) integrated circuits are being explored as suitable candidates for qubit manipulation in universal quantum computers. This paper deals with a scalable SFQ qubit control circuit (SQCC) structure that requires only low-frequency input. The circuit mainly consists of a pulse generator and a counter, that output the SFQ pulse train with adjustable frequency and a controllable number of pulses, which is applicable to control single-qubit Clifford operations. The design of low-voltage rapid single flux quantum (LV-RSFQ) and energy-efficient rapid single flux quantum (ERSFQ) for the SQCC achieves low power consumption and provides a basis for scaling up SQCC to control more qubits. The proposed circuits are fabricated under the SIMIT-Nb03 process and successfully pass test verification. The achieved test results reveal that the adjustable output frequency ranges of the SQCC based on the LV-RSFQ and ERSFQ designs in order are [2.40, 8.11] GHz and [4.81, 5.14] GHz. In the operating frequency range, the circuit is able to generate the correct number of SFQ pulses under control. The controllable number range is from 1 to 128. When the circuits operate at 5 GHz, the total power consumptions of the above circuits in order are 23.88 μW and 6.2 μW. All input signals are low-frequency signals, which frees the control of large-scale qubits from limitations caused by high-frequency inputs produced by room-temperature microwave sources.