Progress Report

Development of Integration Technologies for Superconducting Quantum Circuits[1] Research and development of qubit circuits for error tolerant quantum computers

Progress until FY2024

1. Outline of the project

One of the hardware challenges in realizing a fault-tolerant universal quantum computer is that a large number of physical qubits are required to implement error-correcting codes, and in the case of superconducting qubits, the number is said to be as many as 108 with a typical error rate of 0.1%.
In this research and development theme, to solve this problem, we aim to improve the coherence time of the qubits, develop manufacturing technology of high-quality quantum bits to reduce the error rate, and contribute to reducing the number of quantum bits needed for the realization of fault-tolerant universal quantum computers. In addition, we will develop quantum bit manufacturing technology using optical lithography and multi-layer processes in order to improve the productivity and the uniformity of quantum bits for future large-scale circuits.
We will also conduct exploratory research on bosonic codes, which are expected to enable fault-tolerant quantum computation with fewer physical qubits than those required in the current mainstream of the surface code, to identify their possibilities and promising schemes.

Fig.1

2. Outcome so far

① Development of high-coherence superconducting qubits

Recent studies revealed that dielectric loss at the interface layers such as that between the substrate and the superconducting metal is one of the main sources of decoherence in the superconducting qubits. We try to realize high-quality Nb-based transmon qubits through the optimization of the fabrication processes, particularly paying attention to those interfaces. By clarifying the fabrication process which has large impact on the qubit lifetime (T1), we aim to establish the fabrication recipe to produce high-quality qubits in a reproducible way.
By using Nb electrode for the capacitor and Al-based Josephson junctions on the Si substrate, we have achieved maximum averaged T1 of ~170 us, which corresponds to the quality factor of 5M (left figure below). By measuring the T1 of several transmon qubits with different design of the capacitor pads, we found that the dielectric loss at the interfaces is still limiting the T1 of those qubits (right figure below).

Fig.2
Left figure: Typical time trance of the T1 measurement. In this example, T1 of 0.17 ms is obtained by fitting the time trace to the exponential decay. Right figure: Inverse of the quality factor (loss) as a function of electric-field energy participation ratio for the interfaces. The energy participation ratio is calculated by the EM simulator. Solid line is a fit to the experimental data (open symbols)
② Research and development of bosonic cords using superconducting resonators

Error-correcting codes, known as bosonic codes, are a method for protecting quantum information from errors by utilizing the degrees of freedom found in the energy levels of resonators. Because these energy levels are theoretically infinite, bosonic code can potentially reduce the number of physical qubits required compared to conventional error-correcting codes. In our efforts to improve the Q factor of a three-dimensional resonator (cavity) made of niobium, which is a key component of a bosonic qubit, we improved surface treatment of the cavity. This advancement led to a Q factor exceeding 109, achieving one of the highest levels in the world, with good reproducibility. Furthermore, we constructed a bosonic qubit composed of a three-dimensional resonator for memory, an ancilla qubit, and a readout resonator, and successfully encoded the logical states, | 0L 〉, | 1L 〉 of binomial (1,1) code using optimized control pulses. A pseudo-fidelity of over 90% was achieved in this experiment.

Fig.3
Wigner functions of the logical states a) | 0L 〉  b) | 1L

3. Future plans

Regarding the development of high coherence superconducting qubits, we will continue the improvement of the fabrication processes. We will also optimize the design of the electrodes of the Josephson junction, where the electric field is inevitably focused. For the bosonic code, we aim to construct a feedforward control system and demonstrate error correction in binomial (1,1) code.