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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Exploiting the Causal Tensor Network Structure of Quantum Processes to Efficiently Simulate Non-Markovian Path

Mathias R Jørgensen¹, Felix A Pollock²

¹Department of Physics, Technical University of Denmark, 2800 Kongens Lyngby, Denmark.

Physical Review Letters

|January 11, 2020

Summary

Researchers connect the influence functional to the process tensor for open quantum systems. This enables a more efficient tensor network algorithm for simulating multitime correlations, improving accuracy in quantum dynamics.

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Area of Science:

Quantum Mechanics
Quantum Information Theory
Condensed Matter Physics

Background:

The evolution of open quantum systems is crucial for understanding complex quantum phenomena.
The influence functional, within path integral formulations, captures environmental effects on quantum dynamics.
Simulating multitime correlations in open systems is computationally challenging.

Purpose of the Study:

To establish a formal connection between the influence functional and the process tensor.
To develop an efficient tensor network algorithm for simulating open quantum systems.
To accurately compute phonon emission spectra in strongly coupled systems.

Main Methods:

Relating the influence functional to the process tensor, a representation of quantum stochastic processes.
Developing a tensor network algorithm based on time-evolving matrix product operators for the influence functional.
Exploiting symmetries of the influence functional to enhance computational efficiency.

Main Results:

An orders-of-magnitude improvement in the efficiency of numerical simulations for open quantum systems.
Successful computation of exact phonon emission spectra for the spin-boson model with strong coupling.
Demonstrated significant divergence of computed spectra from those obtained using memoryless approximations.

Conclusions:

The developed tensor network algorithm provides a powerful tool for accurate simulations of open quantum systems.
The connection between influence functionals and process tensors offers new theoretical insights.
Common memoryless approximations can lead to inaccurate predictions for strongly coupled quantum systems.