ArticleNature communications2017
Quantum annealing with all-to-all connected nonlinear oscillators.
Article in Nature communications, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- A driven Kerr oscillator with two-fold degeneracies for qubit protection.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Observation and manipulation of quantum interference in a superconducting Kerr parametric oscillator.Nature communications · 2024Article
- Measurement-based preparation of stable coherent states of a Kerr parametric oscillator.Scientific reports · 2023Article
- Scalable set of reversible parity gates for integer factorization.Communications physics · 2023Article
- Nanomechanical Resonators: Toward Atomic Scale.ACS nano · 2022Review
- Controls of a superconducting quantum parametron under a strong pump field.Scientific reports · 2021Article
- Stabilization and operation of a Kerr-cat qubit.Nature · 2020Article
- Bias-preserving gates with stabilized cat qubits.Science advances · 2020Article
- Fabrication of atomic junctions with experimental parameters optimized using ground-state searches of Ising spin computing.Scientific reports · 2019Article
- Analog Coupled Oscillator Based Weighted Ising Machine.Scientific reports · 2019Article
- Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems.Science advances · 2019Article
- Boltzmann sampling from the Ising model using quantum heating of coupled nonlinear oscillators.Scientific reports · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Quantum annealing aims at solving combinatorial optimization problems mapped to Ising interactions between quantum spins. Here, with the objective of developing a noise-resilient annealer, we propose a paradigm for quantum annealing with a scalable network of two-photon-driven Kerr-nonlinear resonators. Each resonator encodes an Ising spin in a robust degenerate subspace formed by two coherent states of opposite phases. A fully connected optimization problem is mapped to local fields driving the resonators, which are connected with only local four-body interactions. We describe an adiabatic annealing protocol in this system and analyse its performance in the presence of photon loss. Numerical simulations indicate substantial resilience to this noise channel, leading to a high success probability for quantum annealing. Finally, we propose a realistic circuit QED implementation of this promising platform for implementing a large-scale quantum Ising machine.
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