Oct. 30, 2020

# Trade-off with superconducting qubits overcome by quantum filter

Rapid control of long-lived superconducting qubits is made possible by using a quantum filter

Superconducting qubits have become even more attractive for realizing quantum computers due to the demonstration by a RIKEN-led team of a quantum filter element that allows rapid control of superconducting qubits without sacrificing their long lifetimes^{1}.

In principle, any physical system with two energy levels can operate as a qubit—the memory element of a quantum computer. To work as a qubit, however, the system must be able to maintain its quantum properties for considerably longer than the time it takes for each operation to be performed. This duration is known as the coherence time of a qubit.

Superconducting qubits are one of the most promising qubit systems, in part because they are highly stable with respect to the environment. But to read and write information, a qubit has to be coupled with a control line, which introduces a source of decoherence. This decoherence involves the emission of a microwave photon.

The probability of photon emission can be minimized by turning down the coupling strength to the control line, but this requires using a high-power control signal to realize rapid control, which can affect other qubits in the circuit and generate undesirable noise. There thus exists a trade-off between a long qubit lifetime and the rapid control of superconducting qubits, and this trade-off will become more problematic as the number of qubits is increased.

“A linear filter connected to a qubit allows fast qubit readout and a long qubit lifetime, but it doesn’t permit fast qubit control,” explains Yasunobu Nakamura of the RIKEN Center for Emergent Matter Science. “We wanted to realize fast qubit control without reducing the qubit lifetime, leading us to the idea of using a saturable filter.”

Now, Nakamura and colleagues have overcome this trade-off by demonstrating that a superconducting quantum element placed close to a qubit can effectively decouple the qubit from the control line by reflecting emitted photons.

The quantum filter consists of a superconducting qubit as well. It can absorb only one photon at a time. So when the qubit emits a photon, the filter can absorb the photon and then reflect it back, effectively suppressing the decay of the qubit. On the other hand, when a control signal with thousands of photons is sent to the qubit, the filter will absorb one photon but becomes transparent to the other photons, which can thus reach the qubit.

Using this quantum filter, the team were able to obtain a huge increase in qubit decoherence time. As a result, the filter reduces the power needed to control a qubit by several orders of magnitude.

The team is now designing a circuit made up of many qubits.

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## Reference

- 1. Kono, S., Koshino, K., Lachance-Quirion, D., van Loo, A.F., Tabuchi, Y., Noguchi, A. & Nakamura, Y. Breaking the trade-off between fast control and long lifetime of a superconducting qubit.
*Nature Communications***11**3683 (2020). doi: 10.1038/s41467-020-17511-y