Conceptual image of Schrödinger's Cat in a box. (©Jadestar - stock.adobe.com)
In a nutshell
- Scientists created quantum superposition states at temperatures up to 60 times hotter than their environment, challenging the assumption that quantum effects require extreme cold.
- This discovery could lead to more practical quantum technologies that don’t need expensive and complex cooling systems to reach near absolute zero.
- Two different techniques produced quantum effects at high temperatures, with distinct patterns that might be useful for different quantum applications.
INNSBRUCK, Austria — A team of physicists has shattered conventional wisdom about quantum mechanics by creating “hot Schrödinger cat states” at temperatures much warmer than previously thought possible. Their work, published in Science Advances, demonstrates that quantum effects can persist in surprisingly “hot” environments.
Most quantum experiments require cooling atoms or systems to near absolute zero to preserve quantum properties. However, researchers from the University of Innsbruck and the Institute for Quantum Optics and Quantum Information have achieved quantum superpositions at temperatures up to 60 times warmer than their system’s surrounding environment.
The Cat That Got Hot
The famous Schrödinger’s cat thought experiment, proposed by physicist Erwin Schrödinger in 1935, imagined a cat in a box that could be simultaneously alive and dead based on a random quantum event. This paradox highlighted how quantum mechanics seemed to conflict with our everyday experience.
Previous lab demonstrations of “Schrödinger cat states” – quantum superpositions of distinct states – have required ultra-cold conditions. Scientists typically cool systems to their “ground state” (removing nearly all thermal energy) before attempting to create these delicate quantum states.
The Austrian research team flipped this approach on its head. Instead of starting with pristine cold states, they deliberately heated their system and still maintained quantum properties. They achieved temperatures up to 1.8 kelvin in their microwave cavity – which might sound frigid to humans but represents a scorching environment in quantum experiments.
This matters because creating quantum effects at higher temperatures could eventually simplify quantum technologies. Current quantum computers require extreme cooling to near absolute zero, making them expensive and complex to operate. If quantum effects can survive at higher temperatures, future quantum devices might become more practical.
How They Made It Work
The researchers used a superconducting system that allows precise control of quantum states. They placed a cavity made of niobium inside a refrigeration system cooled to just 0.03 degrees above absolute zero. The cavity contained microwave photons (particles of light) that could interact with a transmon qubit – a type of artificial atom used in many quantum computing systems.
After deliberately heating the cavity using filtered noise, they manipulated the system using two different techniques known as “echoed conditional displacement” (ECD) and “quantum-coherent mapping” (qcMAP). Both methods created superpositions of the heated states.
How do scientists know they succeeded? They measured something called the Wigner function, essentially a quantum fingerprint that reveals distinctly quantum properties through negative values. Their hot cat states displayed unmistakable quantum signatures through negative values in the Wigner function’s interference patterns – proof that these were genuine quantum superpositions despite their elevated temperatures.
“Many of our colleagues were surprised when we first told them about our results, because we usually think of temperature as something that destroys quantum effects,” says Thomas Agrenius, who helped develop the theoretical understanding of the experiment, in a statement. “Our measurements confirm that quantum interference can persist even at high temperature.”
Why This Research Matters
Physics professor Gerhard Kirchmair, who led the research, notes that this work could extend beyond their specific setup. The technique might work with nanomechanical oscillators – tiny vibrating structures that have promising applications in quantum technologies but are notoriously difficult to cool completely.
The research team discovered interesting differences between their two methods. While both techniques generated quantum effects, they produced different patterns as temperature increased. This distinction might prove useful for quantum information applications.
“This opens up new opportunities for the creation and use of quantum superpositions, for example in nanomechanical oscillators, for which achieving the ground state can be technically challenging,” says study co-author says Oriol Romero-Isart, a professor of theoretical physics, in a statement.
This achievement broadens our understanding of where quantum effects can exist and challenges assumptions about quantum fragility. By showing that quantum superposition survives in warmer, less pure conditions than previously thought, the research opens new possibilities for both fundamental physics and practical quantum technologies.
“Our work reveals that it is possible to observe and use quantum phenomena even in less ideal, warmer environments,” notes Kirchmair. “If we can create the necessary interactions in a system, the temperature ultimately doesn’t matter.”
Paper Summary
Methodology
The researchers built a specialized quantum system consisting of a high-coherence cavity made from pure niobium, which functioned as a quantum harmonic oscillator storing microwave photons. They coupled this cavity to a transmon qubit – a superconducting circuit that acts as an artificial atom. The entire setup was placed in a dilution refrigerator and cooled to 30 millikelvin.
To create thermal states, they connected the cavity to a heat source (filtered and amplified electronic noise from a resistor), then disconnected this heat source before manipulating the system. They varied the noise power to create thermal states with different temperatures, characterized by their average photon number (ranging from 0.75 to 7.6).
After preparing these thermal states, they applied one of two techniques (ECD or qcMAP) to create quantum superpositions. Both methods used a sequence of operations: first preparing the qubit in a superposition state, then entangling it with the cavity through time evolution, and finally disentangling it through targeted operations. This left the cavity in a superposition of displaced thermal states – what they called a “hot” Schrödinger cat state.
Results
The team successfully created quantum superpositions at temperatures far higher than previously demonstrated, with thermal excitation numbers up to 7.6 (corresponding to purity as low as 0.062). To prove these were genuine quantum states, they measured Wigner functions – mathematical representations that reveal quantum properties.
All measured states showed clear negative values in their Wigner functions, which serves as definitive evidence of quantum behavior. This negativity appeared in interference patterns between two separated peaks representing the superposed states.
Interestingly, the two protocols (ECD and qcMAP) produced different patterns at higher temperatures. With ECD, the interference pattern grew in size but decreased in strength as temperature increased. With qcMAP, the pattern shrank but maintained stronger amplitude.
The researchers calculated a coherence function showing how well quantum coherence persisted between different points in phase space. This function always displayed a characteristic peak indicating quantum superposition, regardless of temperature – confirming the quantum nature of their hot states.
Limitations
The experiment faced several constraints. As temperature increased, larger displacements were needed to successfully disentangle the qubit from the cavity, eventually hitting practical limits. The finite coherence time of their system (how long quantum properties persisted before being lost to the environment), limitations on pulse widths, and subtle nonlinear effects all caused deviations from ideal behavior.
Their modeling didn’t fully account for all observed decoherence, suggesting additional loss mechanisms were present – most likely cavity dephasing. While they demonstrated quantum superposition at higher temperatures than previously achieved, their experiment still required an ultra-cold environment for the surrounding apparatus.
Funding and Disclosures
The study received funding from the Austrian Science Fund (FWF) and the European Research Council (ERC) under grant agreement no. [951234] (Q-Xtreme ERC-2020-SyG). All authors declared no competing interests, and they made their experimental data publicly available through the Zenodo repository.
Publication Information
The study “Hot Schrödinger cat states” appeared in Science Advances (Volume 11, article eadr4492) on April 4, 2025. The research team included Ian Yang and Thomas Agrenius (co-first authors), along with Vasilisa Usova, Oriol Romero-Isart, and Gerhard Kirchmair (corresponding author). The researchers work at the University of Innsbruck, the Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, ICFO in Spain, and ICREA in Barcelona.







