By Published: Jan. 24, 2024

Add a dash of creamer to your morning coffee, and clouds of white liquid will swirl around your cup. But give it a few seconds, and those swirls will disappear, leaving you with an ordinary mug of brown liquid.听

Something similar happens in quantum computer chips鈥攄evices that tap into the weird听properties of the universe at its smallest scales鈥攚here information can quickly jumble up, limiting the memory capabilities of these tools.

That doesn鈥檛 have to be the case, said Rahul Nandkishore, associate professor of physics at CU听Boulder.

In a new coup for theoretical physics, he and his colleagues have used math to show that scientists could create, essentially, a scenario where the milk and coffee never mix鈥攏o matter how hard you stir them.听

The group鈥檚 findings may lead to new advances in quantum computer chips, potentially providing engineers with new ways to store information in incredibly tiny objects.

鈥淭hink of the initial swirling patterns that appear when you add cream to your morning coffee,鈥 said Nandkishore, senior author of the new study. 鈥淚magine if these patterns continued to swirl and dance no matter how long you watched.鈥

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In the current study, Nandkishore and his colleagues used mathematical tools to envision a checkerboard pattern of theoretical qubits. The team discovered that if they arranged these zeros and ones in the right way, the patterns could flow around the checkerboard, but might never never disappear entirely. (Credit: Stephen, Hart & Nandkishore, 2024, "Physical Review Letters")

Researchers still need to run experiments in the lab to make sure that these never-ending swirls really are possible. But the group鈥檚 results are a major step forward for physicists seeking to create materials that remain out of balance, or equilibrium, for long periods of time鈥攁 pursuit known as 鈥渆rgodicity breaking.鈥

The team鈥檚 findings in the latest issue of 鈥淧hysical Review Letters.鈥

Quantum memory

The study, which includes co-authors David Stephen and Oliver Hart, postdoctoal researchers in physics at 精品SM在线影片,听hinges on a common problem in quantum computing. 听

Normal computers run on 鈥渂its,鈥 which take the form of zeros or ones. Nandkishore explained that quantum computers, in contrast, employ 鈥渜ubits,鈥 which can exist as zero, one or, through the strangeness of quantum physics, zero and one at the same time. Engineers have made qubits out of a wide range of things, including individual atoms trapped by lasers or tiny devices called superconductors.

But just like that cup of coffee, qubits can become easily mixed up. If you flip, for example, all of your qubits to one, they鈥檒l eventually flip back and forth until the entire chip becomes a disorganized mess.听

In the new research, Nandkishore and his colleagues may have figured a way around that tendency toward mixing. The group calculated that if scientists arrange qubits into particular patterns, these assemblages will retain their information鈥攅ven if you disturb them using a magnetic field or a similar disruption. That could, the physicist said, allow engineers to build devices with a kind of quantum memory.

鈥淭his could be a way of storing information,鈥 he said. 鈥淵ou would write information into these patterns, and the information couldn鈥檛 be degraded.鈥

Tapping into geometry

In the study, the researchers used mathematical modeling tools to envision an array of hundreds to thousands of qubits arranged in a checkerboard-like pattern.听

The trick, they discovered, was to stuff the qubits into a tight spot. If qubits get close enough together, Nadkishore explained, they can influence the behavior of their neighbors, almost like a crowd of people trying to squeeze themselves into a telephone booth. Some of those people might be standing upright or on their heads, but they can鈥檛 flip the other way without pushing on everyone else.

The researchers calculated that if they arranged these patterns in just the right way, those patterns might flow around a quantum computer chip and never degrade鈥攎uch like those clouds of cream swirling forever in your coffee.

鈥淭he wonderful thing about this study is that we discovered that we could understand this fundamental phenomenon through what is almost simple geometry,鈥 Nandkishore said.听

The team鈥檚 findings could influence a lot more than just quantum computers.

Nandkishore explained that almost everything in the universe, from cups of coffee to vast oceans, tends to move toward what scientists call 鈥渢hermal equilibrium.鈥 If you drop an ice cube into your mug, for example, heat from your coffee will melt the ice, eventually forming a liquid with a uniform temperature.听

His new findings, however, join a growing body of research that suggests that some small organizations of matter can resist that equilibrium鈥攕eemingly breaking some of the most immutable laws of the universe.

鈥淲e鈥檙e not going to have to redo our math for ice and water,鈥 Nandkishore said. 鈥淭he field of mathematics that we call statistical physics is incredibly successful for describing things we encounter in everyday life. But there are settings where maybe it doesn鈥檛 apply.鈥