The research team shows that quantum complexity has been growing over a long period of time

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Physicists have discovered about the huge gap between quantum physics and the concept of gravity. However, in recent years, the scientific community has offered some practical ideas to capture this space and explain the nature of complex many-body quantum systems, for example black holes and black holes. wormhole worldwide. Meanwhile, a panel of thinkers at the Freie Universität Berlin and the Helmholtz-Zentrum Berlin feri Materialien und Energie (HZB), with Harvard University, US, presented a mathematical theory about the nature of the complexity of such systems, increasing the capacity of this bridge. The work is published in Nature Physics.

“We have a very simple solution to a serious problem in physics,” said Prof. Jens Eisert, is a theoretical physicist at Freie Universität Berlin and HZB. “Our results provide a solid basis for understanding the physical properties of chaotic quantum systems, from black holes to large physical systems,” Eisert said.

Using only pen and paper, i.e. as an evaluation, Berlin physicists Jonas Haferkamp, ​​Philippe Faist, Naga Kothakonda and Jens Eisert, as well as Nicole Yunger Halpern (in formerly Harvard, now in Maryland), in confirming an idea. significant implications for complex large-body systems. “This is a task, for example, when you want to describe how many black holes or wormholes are,” explains Jonas Haferkamp, ​​Ph.D. student in Eisert’s team and the paper’s first author.

Large quantum systems can be rebuilt by circuits of what are called quantum bits. However, the question is: how many basic steps are needed to prepare the desired state? On the plus side, it appears that this small number of jobs – the complexity of the system – is constantly growing. Physicists Adam Brown and Leonard Susskind from Stanford University developed this intuition as a mathematical concept: The quantum complexity of a many -particle system must first grow in a linear line for long periods of time and then – for a long time – to live in a very difficult situation. Their idea was reinforced by the nature of the theoretical wormholes, as if the sound would be growing loudly for a long time. In fact, it has been re -assumed that the complexity and size of wormholes are the same or equal in size from two different perspectives. “This redundancy in interpretation is called the holographic principle and is an important way of combining the theory of quantum and gravity. Brown and Susskind’s view on the growth of complexity is possible. Seen as a plausibility check for assumptions about the holographic background, ”explains Haferkamp.

The company has now shown that the complexity of the various vehicles actually increases with time until they fill a space that increases the size of the system. Such circuits are a powerful model for the dynamics of many physical systems. The difficulty of confirming the idea that came out because it could not be released was “short,” meaning that the circuits had a lower difficulty than expected. “Our test is a combination of elements from geometry and elements from quantum information theory. This new approach allows conjecture to be solved for most systems without having to correct conjecture. the problem is notoriously difficult for every state, ”Haferkamp said.

“The work inside Nature Physics It’s a good part of my Ph.D., “added the young physicist, who will take a position at Harvard University at the end of the year. As a postdoc, he can continue his research at then, it is better in the usual way with pen and paper and alternating with the best ideas in theoretical physics.


Theoreticians suggest quantum systems that are suitable for quantum modeling


More information:
Jonas Haferkamp et al, Linear evolution of quantum circuitry, Nature Physics (2022). DOI: 10.1038 / s41567-022-01539-6

Presented by Helmholtz Association of German Research Centers

Directions: Research group reports on the growth of quantum complexity over the long term (2022, March 28) Retrieved 29 March 2022 from https://phys.org/news/2022-03-group-quantum-complexity -linearly-exponentially.html

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