Two-Photon Driven Kerr Resonator for Quantum Annealing with Three-Dimensional Circuit QED

  title={Two-Photon Driven Kerr Resonator for Quantum Annealing with Three-Dimensional Circuit QED},
  author={Peng Zhao and Zhenchuan Jin and Peng Xu and Xinsheng Tan and Haifeng Yu and Yang Yu},
  journal={Physical Review Applied},
We propose a realizable circuit QED architecture for engineering states of a superconducting resonator off-resonantly coupled to an ancillary superconducting qubit. The qubit-resonator dispersive interaction together with a microwave drive applied to the qubit gives rise to a Kerr resonator with two-photon driving that enables us to efficiently engineer the quantum state of the resonator such as generation of the Schrodinger cat states for resonator-based universal quantum computation. Moreover… 

Figures and Tables from this paper

Quantum Gate for Kerr-Nonlinear Parametric Oscillator Using Effective Excited States.
A Kerr-nonlinear parametric oscillator (KPO) can stabilize a quantum superposition of two coherent states with opposite phases, which can be used as a qubit. In a universal gate set for quantum
Chaos in coupled Kerr-nonlinear parametric oscillators
A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution, and can be used as a
Quantum simulation of tunable and ultrastrong mixed-optomechanics.
It is shown that the mixed-optomechanical interactions can enter the single-photon strong-coupling and even ultrastrong-Coupling regimes and the thermal noise of the driven mode can be suppressed totally by introducing a proper squeezed vacuum bath.
Autonomous quantum error correction in a four-photon Kerr parametric oscillator
Autonomous quantum error correction has gained considerable attention to avoid complicated measurements and feedback. Despite its simplicity compared with the conventional measurement-based quantum
High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
A two-dimensional array of Kerr-nonlinear parametric oscillators (KPOs) with local four-body interactions is a promising candidate for realizing an Ising machine with all-to-all spin couplings, based
Development of Quantum Annealer using Josephson Parametric Oscillators
SUMMARY A Josephson parametric oscillator (JPO) is an interesting system from the viewpoint of quantum optics because it has two stable self-oscillating states and can deterministically generate
Quantum annealing using vacuum states as effective excited states of driven systems
Quantum annealing, which is particularly useful for combinatorial optimization, becomes more powerful by using excited states, in addition to ground states. However, such excited-state quantum
Spectroscopic observation of the crossover from a classical Duffing oscillator to a Kerr parametric oscillator
We study microwave response of a Josephson parametric oscillator consisting of a superconducting transmission-line resonator with an embedded dc-SQUID. The dc-SQUID allows to control the magnitude of
Controllable phase-dependent Wigner-function negativity at steady state via parametric driving and feedback
Generating the negative Wigner functions where the corresponding Wigner states are nonclassical has been recognized as a powerful tool for successfully performing quantum information and computing
Excited-State Adiabatic Quantum Computation Started with Vacuum States
Adiabatic quantum computation (AQC), which is particularly useful for combinatorial optimization, becomes more powerful by using excited states, instead of ground states. However, the excited-state


Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
This work proposes an approach for fast, high-fidelity preparation and manipulation of cat states in a nonlinear cavity by the use of a parametric drive that is robust against single-photon loss and can be easily realized using superconducting circuits.
A coherent quantum annealer with Rydberg atoms
Combining the well-developed quantum simulation toolbox for Rydberg atoms with the recently proposed Lechner-Hauke-Zoller (LHZ) architecture allows one to build a prototype for a coherent adiabatic quantum computer with all-to-all Ising interactions and, therefore, a platform for quantum annealing.
Quantum memory with millisecond coherence in circuit QED
Significant advances in coherence render superconducting quantum circuits a viable platform for fault-tolerant quantum computing. To further extend capabilities, highly coherent quantum systems could
The flux qubit revisited to enhance coherence and reproducibility
The design and fabrication of the superconducting flux qubit is revisited, achieving a planar device with broad-frequency tunability, strong anharmonicity, high reproducibility and relaxation times in excess of 40 μs at its flux-insensitive point.
Quantum annealing with a network of all-to-all connected, two-photon driven Kerr nonlinear oscillators
Quantum annealing aims to solve combinatorial optimization problems mapped on to Ising interactions between quantum spins. A critical factor that limits the success of a quantum annealer is its
Circuit QED with fluxonium qubits: Theory of the dispersive regime
In circuit QED, protocols for quantum gates and readout of superconducting qubits often rely on the dispersive regime, reached when the qubit-photon detuning {\Delta} is large compared to their
Multilayer microwave integrated quantum circuits for scalable quantum computing
This multilayer microwave integrated quantum circuit (MMIQC) platform provides a path toward the realization of increasingly complex superconducting devices in pursuit of a scalable quantum computer.
Microwave degenerate parametric down-conversion with a single cyclic three-level system in a circuit-QED setup
With the assistance of a single cyclic three-level system, which can be realized by a superconducting flux qubit, we study theoretically the degenerate microwave parametric down-conversion (PDC) in a
A CNOT gate between multiphoton qubits encoded in two cavities
This work realizes a controlled NOT (CNOT) gate between two qubits encoded in the multiphoton states of two microwave cavities nonlinearly coupled by a transmon, enabling a high-fidelity gate operation.
Dynamically protected cat-qubits: a new paradigm for universal quantum computation
We present a new hardware-efficient paradigm for universal quantum computation which is based on encoding, protecting and manipulating quantum information in a quantum harmonic oscillator. This