Thermometer measures temperatures during quantum calculations

Researchers at Chalmers University of Technology have developed a novel type of thermometer, designed to simply and quickly measure temperatures during quantum calculations with extremely high accuracy.

Described in the journal Physical Review X, the breakthrough provides a benchmarking tool for quantum computing of great value — and opens up the possibility for experiments in the field of quantum thermodynamics.

A key component in quantum computers is coaxial cables and waveguides — structures that guide waveforms and act as the vital connection between the quantum processor and the classical electronics that control it. Microwave pulses travel along the waveguides to the quantum processor and are cooled down to extremely low temperatures along the way. The waveguide also attenuates and filters the pulses, enabling the extremely sensitive quantum computer to work with stable quantum states.

In order to have maximum control over this mechanism, researchers need to be sure that these waveguides are not carrying noise due to thermal motion of electrons on top of the pulses that they send. In other words, they have to measure the temperature of the electromagnetic fields at the cold end of the microwave waveguides; the point at which the controlling pulses are delivered to the computer’s qubits. Working at the lowest possible temperature minimises the risk of introducing errors in the qubits.

Until now, researchers have only been able to measure this temperature indirectly, with relatively large delay. Now, with the novel thermometer, very low temperatures can be measured directly at the receiving end of the waveguide — accurately and with extremely high time resolution, according to the researchers.

The thermometer concept relies on the interplay between coherent and incoherent scattering from a quantum emitter driven at resonance. The emitter is strongly coupled to the end of the waveguide being tested. Thermal photons in the waveguide lead to a measurable drop in the coherently scattered signal, which is recorded continuously. In this way, the number of photons in the propagating mode of the microwave waveguides can be read — this corresponds to a temperature. The Chalmers researchers’ implementation, which uses a superconducting circuit operated at gigahertz frequencies, offers simplicity, large bandwidth, high sensitivity and negligible power dissipation.

“Our thermometer is a superconducting circuit, directly connected to the end of the waveguide being measured,” said Simone Gasparinetti, Assistant Professor at the Chalmers Quantum Technology Laboratory. “It is relatively simple — and probably the world’s fastest and most sensitive thermometer for this particular purpose at the millikelvin scale.”

An artistic impression of the superconducting circuit used in the experiment by Scigliuzzo et al (left), and of its capability of measuring thermal microwaves at the level of a single excitation quantum (right). Image credit: neuroncollective.com/Chalmers University of Technology.

Measuring quantum computer performance

Researchers at the Chalmers Wallenberg Centre for Quantum Technology (WACQT) have the goal to build a quantum computer — based on superconducting circuits — with at least 100 well-functioning qubits, performing correct calculations by 2030. It requires a processor working temperature close to absolute zero, ideally down to 10 mK. The new thermometer gives the researchers an important tool for measuring how good their systems are and what shortcomings exist — a necessary step to be able to refine the technology and achieve their goal.

“A certain temperature corresponds to a given number of thermal photons, and that number decreases exponentially with temperature,” said Professor Per Delsing, the leader of WACQT. “If we succeed in lowering the temperature at the end where the waveguide meets the qubit to 10 mK, the risk of errors in our qubits is reduced drastically.”

Accurate temperature measurement is also necessary for suppliers who need to be able to guarantee the quality of their components; for example, cables that are used to handle signals down to quantum states.

New opportunities in quantum thermodynamics

Quantum mechanical phenomena such as superposition, entanglement and decoherence mean a revolution not only for future computing but also potentially in thermodynamics. It may well be that the thermodynamic laws somehow change when working down at the nanoscale, in a way that could one day be exploited to produce more powerful engines, faster-charging batteries and more.

“For 15–20 years, people have studied how the laws of thermodynamics might be modified by quantum phenomena, but the search for a genuine quantum advantage in thermodynamics is still open,” said Gasparinetti, who recently started his own research group and plans to contribute to this search with a novel range of experiments. The new thermometer can, for example, measure the scattering of thermal microwaves from a circuit acting as a quantum heat engine or refrigerator.

“Standard thermometers were fundamental for developing classical thermodynamics,” said Marco Scigliuzzo, a doctoral student at Chalmers. “We hope that maybe, in the future, our thermometer will be regarded as pivotal for developing quantum thermodynamics.”

Top image: The new quantum thermometer on a chip, in the foreground. Image credit: Claudia Castillo Moreno/Chalmers University of Technology.

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