Quantum annealing with all-to-all connected nonlinear oscillators

Area of Science:

• Quantum Computing
• Quantum Information Science
• Condensed Matter Physics

Background:

• Quantum annealing is a method for solving optimization problems by mapping them to Ising interactions.
• Current quantum annealers face challenges with noise and scalability.
• Developing noise-resilient quantum computing architectures is crucial.

Purpose of the Study:

• To propose a new paradigm for quantum annealing using a scalable network of Kerr-nonlinear resonators.
• To develop a noise-resilient quantum annealer for combinatorial optimization.
• To explore a realistic circuit Quantum Electrodynamics (QED) implementation.

Main Methods:

• Encoding Ising spins in robust degenerate subspaces of two-photon-driven Kerr-nonlinear resonators.
• Mapping optimization problems to local fields and local four-body interactions.
• Implementing an adiabatic annealing protocol and analyzing performance under photon loss.

Main Results:

• Numerical simulations show substantial resilience to photon loss, a key noise channel.
• The proposed system achieves a high success probability for quantum annealing.
• Demonstrated a scalable network architecture for quantum Ising machines.

Conclusions:

• The proposed Kerr-nonlinear resonator network offers a promising platform for noise-resilient quantum annealing.
• This approach facilitates the implementation of large-scale quantum Ising machines.
• The findings contribute to the advancement of practical quantum computing.