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IEEE Transactions on Applied Superconductivity

Sub-picosecond measurement of time intervals using single flux quantum electronics

Peter A. Rosenthal

Published Mar 1, 1993• 4 citations
Publisher

Abstract

A single-flux-quantum (SFQ) pulse coincidence detector based on resistively shunted nonhysteretic Josephson junctions was designed and simulated. The coincidence detector generates an SFQ pulse when the delay between the arrival of SFQ pulses at its two inputs is less than the coincidence threshold. Simulations indicate that the minimum coincidence threshold time can be as short as 400+or-200 fs, assuming Josephson junction characteristic voltages of 1 mV, overdamped dynamics, and 4.2 K operating temperatures. Circuit architectures exploiting this gate are suggested. Estimates of the effects of thermal noise on resolution are presented, indicating the potential for various time-domain measurements with subpicosecond resolution.< >

DOI
10.1109/77.233971

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IEEE Transactions on Applied Superconductivity•Jun 1, 2007•26 citations
A single-flux-quantum (SFQ) pulse coincidence detector based on resistively shunted nonhysteretic Josephson junctions was designed and simulated. The coincidence detector generates an SFQ pulse when the delay between the arrival of SFQ pulses at its two inputs is less than the coincidence threshold. Simulations indicate that the minimum coincidence threshold time can be as short as 400+or-200 fs, assuming Josephson junction characteristic voltages of 1 mV, overdamped dynamics, and 4.2 K operating temperatures. Circuit architectures exploiting this gate are suggested. Estimates of the effects of thermal noise on resolution are presented, indicating the potential for various time-domain measurements with subpicosecond resolution.< >
A single flux quantum (SFQ) pulse coincidence detector based on resistively shunted nonhysteretic Josephson junctions was designed and simulated. The coincidence detector generates an SFQ pulse when the delay between the arrival of SFQ pulses at its two inputs is less than the coincidence threshold. Simulations indicate that the minimum coincidence threshold time can be as short as 400 f 200 fs assuming Josephson junction characteristic voltages of 1 mV, overdamped dynamics and 4.2 K operating temperatures. Circuit architectures exploiting this gate are suggested. Estimates of the effects of thermal noise on resolution are presented indicating the potential for various time domain measurements with sub-picosecond resolution. I. INTRODUCTION The high speed properties of Josephson electronics offer unique possibilities for high time resolution metrology1 such as fast sampling, A-to-D conversion?^^ race arbiting? and time domain reflectometry5 In this paper I propose an ap- proach to time interval measurement that is based on a simple circuit consisting of several overdamped Josephson junctions. This circuit uses the picosecond pulses of Josephson junctions in a simple way that can be integrated naturally into a fre- quency vernier measurement apparatus? A junction with a nonhysteretic resistively shunted current-voltage characteristic can be induced to generate voltage pulses whose time integral is equal to the elementary flux quantum @pg = 2.07 mV-p~.~ In particular, the pulse width from an overdamped Josephson junction with a characteristic voltage VC = IcR~ is given by At = Q)/ VC and can be as short as 2 ps for a junction with a typical VC = 1 mV. The short widths of SFQ pulses combined with the high plasma frequencies possible with overdamped junctions can be exploited in a simple circuit that detects pulse coincidence from two inputs and has a coincidence threshold that can be as short as several hundred femtoseconds for junction IcR~ products around 1 mV. In the next section of this paper I describe the coincidence detection circuit operation, including the results of simulations estimating the potential- performance characteristics. The ef- fects of thermal fluctuations on resolution will be discussed. In Section I11 a time interval measurement system is de- scribed, based on the frequency vernier interpolation method. Using conventional electronics, the vernier method has at- tained time interval resolution limits of about 20 ps.* Our simulations show in principle that a carefully designed fre-
Direct measurements of propagation delay of single-flux-quantum (SFQ) circuits were performed using SFQ double-oscillator time-to-digital converters. The propagation delay of several SFQ logic gates in our cell library named CONNECT were measured in picosecond resolution. Small discrepancy in the propagation delay of picosecond level was observed between measurement and circuit simulation results. The discrepancy is well explained assuming the parasitic inductance around shunt resistors of Josephson junctions.
We study a single-shot single-flux-quantum (SFQ) readout circuit based on current-to-time conversion for superconducting flux qubits. Circulating currents representing states of a qubit were converted to propagation delay time of SFQ pulses, and then detected by a time discriminator. The key parameter which determines the availability of single-shot readout is current resolution. We evaluated the current resolution by measuring the gray zone which was defined as the transition width in the output probability of the current-to-time converter with 1000 trials for each value of an input current. For reducing unwanted effects on the qubit, shunt resistors are required to be removed for Josephson junctions in the readout circuit. We designed two readout circuits for comparison, the circuit composed of shunted junctions and that of unshunted junctions. Gray zones were measured to be 4.8μA\mu{\rm A}μAfor unshunted junctions and 2.2μA\mu{\rm A}μAfor the shunted ones at 4.2 K. These gray zones may originate from Johnson noise. Operation at a reduced temperature and employment of a likelihood decision circuit will lead to reduced gray zone, i.e., improved current resolution sufficient for single-shot readout.
We present a single-flux-quantum (SFQ) based digital correlator to trace independent signals from two superconducting single-photon detectors (SSPDs) triggering its inputs. In our design two SSPDs are magnetically coupled to inputs of a readout system where direct current (DC)-to-SFQ converters are used to convert transient SSPD output pulses, triggered by detection of single-photon events, to SFQ pulses. The coincidence verification of SFQ pulses, generated by the two DC-to-SFQ converters, is performed with a modified SFQ coincidence buffer. The coincidence buffer is designed to generate an SFQ output pulse only when its both inputs are triggered simultaneously, or within a preset margin time. The output of the coincidence buffer is connected via, this time, an SFQ-to-DC converter, to a pulse counter operated at room temperature. We performed extensive simulations of both the SSPD equivalent circuit and correlator redout elements for the proposed coincidence scheme, using a WRSpice and PSCAN2 simulation platforms that are specifically designated to model Josephson junctions and widely used to simulate operation of the SFQ circuitry. In particular, we investigated our coincidence correlator scheme for measurements of the second-order correlation function, used to demonstrate the antibunching effect in the single-photon detection of non-classical light.
An integrated circuit including all basic components of the recently suggested Resistive Single Flux Quantum (RSFQ) logic family has been designed, fabricated and tested successfully. The circuit includes a generator of periodic SFQ pulses, four buffer/amplifier stages for splitting, channeling and regeneration of the pulses, a detector/load stage, and universal RSFQ logic gate (here performing the NOT function). The 10μm design rule circuit employs 13 active Nb - Al2O3- Nb Josephson junctions with the critical current density ∼ 0.5 kA/cm2. externally shunted by Mo resistors with R 1 Ohm. The shunting provided critical damping of the junctions (\beta_{c}\lsim 1) and reasonable (\sim 500 \muV) IcR product. The circuit operation has been tested by measurement of dc voltages\bar{V}_{i}across various Josephson junctions as functions of the dc current through the pulse generator. Correct and stable operation of the circuit for the clock frequencies from 0 to ∼30 GHz has been demonstrated.
We evaluated timing jitter based on a time-to-digital converter (TDC) having sub-pico seconds time resolution. The measured jitter at liquid helium temperature was 65 fs for an optimally damped simple junction composing a conventional Josephson transmission line fabricated with the NEC standard process. The temperature dependence and shunt resistance dependence of jitter indicate that the jitter originates from thermal noise generated at the shunt resistor of the junction. We also found that the timing jitter of a balanced comparator is much larger than that of a JTL. The jitter of a balanced comparator is independent of temperature. This means that the jitter of a balanced comparator does not arise from thermal noise.