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Simulating quantum chaos on a quantum computer.

Amit Anand1,2,3, Sanchit Srivastava4,5,6, Sayan Gangopadhyay7,8

  • 1Department of Mechanical Engineering, Indian Institute of Engineering Science And Technology, Shibpur, Howrah, West Bengal, 711103, India. a63anand@uwaterloo.ca.

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Noisy intermediate-scale quantum (NISQ) computers enable versatile quantum simulations of chaotic systems. Researchers used a hybrid approach on NISQ devices to study the quantum kicked top model, observing periodicities and chaos signatures.

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Area of Science:

  • Quantum Physics
  • Computational Physics
  • Quantum Information Science

Background:

  • Noisy intermediate-scale quantum (NISQ) computers are emerging as powerful tools for complex quantum system investigations.
  • Quantum chaos and its dynamics are challenging to simulate using classical methods.

Purpose of the Study:

  • To demonstrate the capability of NISQ devices for versatile quantum simulations of chaotic systems.
  • To explore the dynamics of the chaotic quantum kicked top (QKT) model using a novel classical-quantum hybrid approach.

Main Methods:

  • Implementation of a classical-quantum hybrid algorithm on a quantum computer to simulate the QKT.
  • Experimental exploration of a wide range of QKT chaoticity parameter regimes.
  • Utilizing a publicly accessible NISQ computer (IBMQ) for the simulations.

Main Results:

  • Observation of periodicities in the evolution of the 2-qubit QKT.
  • Detection of chaos signatures in time-averaged 2-qubit entanglement.
  • Demonstration of a link between entanglement and delocalization in the 2-qubit QKT, aligning with theoretical predictions.

Conclusions:

  • NISQ devices are suitable for versatile quantum simulations of chaotic systems.
  • The developed hybrid approach allows for efficient and scalable simulations of the QKT for arbitrary numbers of kicks without fidelity loss.
  • The experimental results confirm theoretical predictions regarding entanglement and delocalization in chaotic quantum systems.