Experimental Dissipative Quantum Chaos
Please find the slides from the seminar (pdf).
Classically chaotic systems are those where trajectories diverge exponentially as initial conditions are varied. However, it is not obvious how this can emerge from the more fundamental quantum mechanics, a linear theory. To see the connection, new mathematical tools for "Quantum Chaos" was developed, among them Random Matrix Theory (RMT) for studying quantum systems at the spectral level. Since its birth, RMT has been used to characterize signatures of chaos for closed quantum systems, both for theoretical models and physically realized experiments, showing good correspondence.
More recently, RMT is being expanded to also treat dissipative quantum systems, inventing tools for detecting chaotic and integrable (non-chaotic) signatures for quantum systems influenced by noise from an environment. However, experimental insights have lagged behind. We substantiate the field of Experimental Dissipative Quantum Chaos by utilizing noisy intermediate-scale quantum (NISQ) computers as a tunable testbed for detecting dissipative quantum chaos. To do this, we have invented a gradient-based quantum tomography protocol, letting us model NISQ circuits as quantum channels from measurement data.
We find that parameterized quantum circuits produce spectra whose support closely follow that of the Diluted Unitary model, a two-parameter stochastic model. Further, we device a type of circuit that lets us engineer artificial noise predicted by RMT to exhibit integrability. We find that we have sufficient experimental fidelity and sensitivity to detect said integrability when implemented on hardware, showing that it is a suitable testbed for similar investigations. Lastly, we find that, when you run the circuit for sufficient depth, there is a transition between integrability and chaos, showing that the intrinsic noise of the hardware has a chaotic nature.
About the qGAP meeting series
Welcome to qGAP, our seminar series on Quantum Physics and Quantum Technology.
The series of seminars/lectures are meant to cover broadly activities at UiO and elsewhere related to quantum physics and technologies, mainly from a theoretical perspective, though we also welcome experimental talks.
We aim at having regular seminars, discussions of recent articles, presentations by master and PhD students and more. We aim for this series to be a combination of research talks and journal clubs.
Educational topics are also most welcome.
Please feel free to suggest speakers, yourself included!
Get in touch with Gunnar Lange to suggest a speaker or if you would like to be included in the mailing list.
All are welcome!
Upcoming:
16. May Maxim Kartamyshev (NBIM)