Parametric four-wave mixing toolbox for superconducting resonators
arXiv:1204.5450 · doi:10.1103/PhysRevB.86.014516
Abstract
We study a superconducting circuit that can act as a toolbox to generate various Bogoliubov-linear and nonlinear quantum operations on the microwave photon modes of superconducting resonators within one single circuit. The quantum operations are generated by exploring dispersive four-wave mixing (FWM) processes involving the resonator modes. Different FWM geometries can be realized by adjusting the circuit parameters and by applying appropriate microwave drivings. We illustrate this scheme using a circuit made of two superconducting qubits that couple with each other. Each qubit couples with one superconducting resonator. We also discuss main quantum errors in this scheme and study the fidelity of the quantum operations by numerical simulation. Our scheme provides a practical approach to realize quantum information protocols on superconducting resonators.
9 pages, 6 figures, accepted version, new simulation and reference added
References in corpus (44)
- Charge insensitive qubit design derived from the Cooper pair box
- Review article: Linear optical quantum computing
- Quantum state engineering with Josephson-junction devices
- Atomic physics and quantum optics using superconducting circuits
- Quantum computation over continuous variables
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Resonance Fluorescence of a Single Artificial Atom
- Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
- Implementing the Quantum von Neumann Architecture with Superconducting Circuits
- Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
- Nonlinear response of the vacuum Rabi resonance
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Measurements of the Correlation Function of a Microwave Frequency Single Photon Source
- Deterministic entanglement of photons in two superconducting microwave resonators
- Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
- Two-resonator circuit QED: A superconducting quantum switch
- Tunable coupling in circuit quantum electrodynamics with a superconducting V-system
- Efficient quantum computing using coherent photon conversion
- Controllable coupling between flux qubits
- Photon shell game in three-resonator circuit quantum electrodynamics
- Quantum superposition of a single microwave photon in two different "colour" states
- Sign- and magnitude-tunable coupler for superconducting flux qubits
- Strong photon non-linearities and photonic Mott insulators
- Selective darkening of degenerate transitions demonstrated with two superconducting quantum bits
- Giant Kerr nonlinearities in Circuit-QED
- Quantum switch for single-photon transport in a coupled superconducting transmission line resonator array
- Arbitrary Control of Entanglement between Two Superconducting Resonators
- Generation of squeezed states of microwave radiation in a superconducting resonant circuit
- Parametric coupling between macroscopic quantum resonators
- Generation and detection of NOON states in superconducting circuits
- Decoupling a Cooper-pair box to enhance the lifetime to 0.2 ms
- Two-resonator circuit QED: Dissipative Theory
- Deterministic Generation of Entangled Photons in Superconducting Resonator Arrays
- Superconducting resonators as beam splitters for linear-optics quantum computation
- Entangling two superconducting LC coherent modes via a superconducting flux qubit
- Greenberger-Horne-Zeilinger generation protocol for N superconducting transmon qubits capacitively coupled to a quantum bus
- Analysis of a tuneable coupler for superconducting phase qubits
- Exploiting Kerr Cross Non-linearity in Circuit Quantum Electrodynamics for Non-demolition Measurements
- Light-shift-induced photonic nonlinearities
- Multiphoton excitations and inverse population in two-flux-qubit system
- Narrowband Biphoton Generation due to Long-Lived Coherent Population Oscillations
- Quantum non-demolition measurement of microwave photons using engineered quadratic interactions
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- Nonreciprocal State Conversion between Microwave and Optical Photons
- Qudit-Basis Universal Quantum Computation using Interactions
- Hardware-Efficient Bosonic Quantum Error-Correcting Codes Based on Symmetry Operators
- Superconducting circuit simulator of Bose-Hubbard model with a flat band
- Quantum State Synthesis of Superconducting Resonators
- Site-wise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators
- Generation of arbitrary symmetric entangled states with conditional linear optical coupling
- Quantum properties of a parametric four-wave mixing in a Raman-type atomic system