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Scientific Reports

Optimization of shadow evaporation and oxidation for reproducible quantum Josephson junction circuits

Dmitry O. Moskalev, E. V. Zikiy, Anastasiya A. Pishchimova, Daria A. Moskaleva, Nikita S. Smirnov, Аnton I. Ivanov, Nikita D. Korshakov, Ilya A. Rodionov

Published Mar 13, 2023• 40 citations
Publisher

Abstract

Abstract The most commonly used physical realization of superconducting qubits for quantum circuits is a transmon. There are a number of superconducting quantum circuits applications, where Josephson junction critical current reproducibility over a chip is crucial. Here, we report on a robust chip scale Al/AlO x /Al junctions fabrication method due to comprehensive study of shadow evaporation and oxidation steps. We experimentally demonstrate the evidence of optimal Josephson junction electrodes thickness, deposition rate and deposition angle, which ensure minimal electrode surface and line edge roughness. The influence of oxidation method, pressure and time on critical current reproducibility is determined. With the proposed method we demonstrate Al/AlO x /Al junction fabrication with the critical current variation $$(\sigma /\langle {I_{c} } \rangle )$$ ( σ / ⟨ I c ⟩ ) less than 3.9% (from 150 × 200 to 150 × 600 nm 2 area) and 7.7% (for 100 × 100 nm 2 area) over 20 × 20 mm 2 chip. Finally, we fabricate separately three 5 × 10 mm 2 chips with 18 transmon qubits (near 4.3 GHz frequency) showing less than 1.9% frequency variation between qubits on different chips. The proposed approach and optimization criteria can be utilized for a robust wafer-scale superconducting qubit circuits fabrication.

DOI
10.1038/s41598-023-31003-1

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Abstract The most commonly used physical realization of superconducting qubits for quantum circuits is a transmon. There are a number of superconducting quantum circuits applications, where Josephson junction critical current reproducibility over a chip is crucial. Here, we report on a robust chip scale Al/AlO x /Al junctions fabrication method due to comprehensive study of shadow evaporation and oxidation steps. We experimentally demonstrate the evidence of optimal Josephson junction electrodes thickness, deposition rate and deposition angle, which ensure minimal electrode surface and line edge roughness. The influence of oxidation method, pressure and time on critical current reproducibility is determined. With the proposed method we demonstrate Al/AlO x /Al junction fabrication with the critical current variation (σ/⟨Ic⟩)(\sigma /\langle {I_{c} } \rangle )(σ/⟨Ic​⟩) ( σ / ⟨ I c ⟩ ) less than 3.9% (from 150 × 200 to 150 × 600 nm 2 area) and 7.7% (for 100 × 100 nm 2 area) over 20 × 20 mm 2 chip. Finally, we fabricate separately three 5 × 10 mm 2 chips with 18 transmon qubits (near 4.3 GHz frequency) showing less than 1.9% frequency variation between qubits on different chips. The proposed approach and optimization criteria can be utilized for a robust wafer-scale superconducting qubit circuits fabrication.
The most commonly used physical realization of superconducting qubits for quantum circuits is a transmon. There are a number of superconducting quantum circuits applications, where Josephson junction critical current reproducibility over a chip is crucial. Here, we report on a robust chip scale Al/AlOx/AlAl/AlO_x/AlAl/AlOx​/Al junctions fabrication method due to comprehensive study of shadow evaporation and oxidation steps. We experimentally demonstrate the evidence of optimal Josephson junction electrodes thickness, deposition rate and deposition angle, which ensure minimal electrode surface and line edge roughness. The influence of oxidation method, pressure and time on critical current reproducibility is determined. With the proposed method we demonstrate Al/AlOx/AlAl/AlO_x/AlAl/AlOx​/Al junction fabrication with the critical current variation (σ/Icσ/I_cσ/Ic​) less than 3.9% (from 150×200150\times200150×200 to 150×600150\times600150×600 nm2nm^2nm2 area) and 7.7% (for 100×100100\times100100×100 nm2nm^2nm2 area) over 20×2020\times2020×20 mm2mm^2mm2 chip. Finally, we fabricate separately three 5×105\times105×10 mm2mm^2mm2 chips with 18 transmon qubits (near 4.3 GHz frequency) showing less than 1.9% frequency variation between qubit on different chips. The proposed approach and optimization criteria can be utilized for a robust wafer-scale superconducting qubit circuits fabrication.
We introduce a simplified fabrication technique for Josephson junctions and demonstrate superconducting Xmon qubits with T1 relaxation times averaging above 50 μs (Q>1.5×106). Current shadow-evaporation techniques for aluminum-based Josephson junctions require a separate lithography step to deposit a patch that makes a galvanic, superconducting connection between the junction electrodes and the circuit wiring layer. The patch connection eliminates parasitic junctions, which otherwise contribute significantly to dielectric loss. In our patch-integrated cross-type junction technique, we use one lithography step and one vacuum cycle to evaporate both the junction electrodes and the patch. This eliminates a key bottleneck in manufacturing superconducting qubits by reducing the fabrication time and cost. In a study of more than 3600 junctions, we show an average resistance variation of 3.7% on a wafer that contains forty 0.5×0.5-cm2 chips, with junction areas ranging between 0.01 and 0.16 μm2. The average on-chip spread in resistance is 2.7%, with 20 chips varying between 1.4% and 2%. For the junction sizes used for transmon qubits, we deduce a wafer-level transition-frequency variation of 1.7%–2.5%. We show that 60%–70% of this variation is attributed to junction-area fluctuations, while the rest is caused by tunnel-junction inhomogeneity. Such high frequency predictability is a requirement for scaling-up the number of qubits in a quantum computer.
Abstract The uniformity of Josephson-junction (JJ) characteristics is crucial in wafer-scale superconducting quantum-bit (qubit) integration. To achieve the level of accuracy demanded the circuits, every detail of the fabrication process needs to be optimized. Here we reveal that the junction-resistance (R N) variations of Al/AlO x /Al JJs are affected by the metal deposition on the sidewall of the resist mask during shadow evaporation. The effect is reproduced in numerical simulation using a simple model taking into account the resist structure and the evaporation angle. To overcome the issue, we introduce a two-step shadow evaporation method to reduce the variation of R N. As a result, the coefficient of variations across a 3-inch wafer decreases from 6.7% to 4.5%, achieving 1.1% in a chip with an area of 10 mm × 10 mm. This method is promising for developing large-scale superconducting quantum computers.
One of the practical limitations of solid-state superconducting quantum processors is the collision of the qubit resonance frequencies, caused by their deviation from the design specifications due to the low reproducibility in qubit fabrication. Josephson junction 100 nm-scale nonlinear inductance of the qubits still suffers from Dolan-bridge shadow evaporation process. Here, we report on a robust wafer-scale Al/AlOx/Al Dolan-bridge Josephson junction (JJ) process using preliminary shadow evaporation bias resist mask correction and comprehensive oxidation optimization. We introduce a topology correction model for two-layer resist mask biasing at a wafer-scale, which takes into account an evaporation source geometry. It results in Josephson junction area variation coefficient (  CVA\:{CV}_{A}CVA​ ) improvement down to 1.1% for the critical dimensions from 130 × 170 nm2 to 130 × 670 nm2 over 70 × 70 mm2 (49 cm2) wafer working area. Next, we investigate JJ oxidation process (oxidation method, pressure and time) and its impact on the room temperature resistance reproducibility. Finally, we combine both shadow evaporation bias correction and oxidation best practices for 4-inch wafers, improving  CVRN\:{CV}_{{R}_{N}}CVRN​​ down to 6.0/5.2/4.1% for 0.025 µm2 JJ area and 4.0/3.4/2.3% for 0.090 µm2 JJ area for 49/25/16 cm2 wafer working area correspondingly. The proposed model and oxidation method can be useful for robust wafer-scale superconducting quantum processors fabrication.
Abstract Quantum bits, or qubits, are an example of coherent circuits envisioned for next-generation computers and detectors. A robust superconducting qubit with a coherent lifetime of O(100 µs) is the transmon: a Josephson junction functioning as a non-linear inductor shunted with a capacitor to form an anharmonic oscillator. In a complex device with many such transmons, precise control over each qubit frequency is often required, and thus variations of the junction area and tunnel barrier thickness must be sufficiently minimized to achieve optimal performance while avoiding spectral overlap between neighboring circuits. Simply transplanting our recipe optimized for single, stand-alone devices to wafer-scale (producing 64, 1x1 cm dies from a 150 mm wafer) initially resulted in global drifts in room-temperature tunneling resistance of ± 30%. Inferring a critical current I c variation from this resistance distribution, we present an optimized process developed from a systematic 38 wafer study that results in < 3.5% relative standard deviation (RSD) in critical current ( ≡ σ I c / I c ) for 3000 Josephson junctions (both single-junctions and asymmetric SQUIDs) across an area of 49 cm2. Looking within a 1x1 cm moving window across the substrate gives an estimate of the variation characteristic of a given qubit chip. Our best process, utilizing ultrasonically assisted development, uniform ashing, and dynamic oxidation has shown σ I c / I c = 1.8% within 1x1 cm, on average, with a few 1x1 cm areas having σ I c / I c < 1.0% (equivalent to σ f / f < 0.5%). Such stability would drastically improve the yield of multi-junction chips with strict critical current requirements.
Besides serving as promising candidates for realizing quantum computing, superconducting quantum circuits are one of a few macroscopic physical systems in which fundamental quantum phenomena can be directly demonstrated and tested, giving rise to a vast field of intensive research work both theoretically and experimentally. In this paper we report our work on the fabrication of superconducting quantum circuits, starting from its building blocks: Al/AlO x /Al Josephson junctions. By using electron beam lithography patterning and shadow evaporation, we have fabricated aluminum Josephson junctions with a controllable critical current density ( j c ) and wide range of junction sizes from 0.01 μm 2 up to 1 μm 2 . We have carried out systematical studies on the oxidation process in fabricating Al/AlO x /Al Josephson junctions suitable for superconducting flux qubits. Furthermore, we have also fabricated superconducting quantum circuits such as superconducting flux qubits and charge-flux qubits.