Quantum information processing with circuit quantum electrodynamics

Abstract

We theoretically study single and two-qubit dynamics in the circuit QED architecture. We focus on the current experimental design [Wallraff et al., Nature 431, 162 (2004); Schuster et al., Nature 445, 515 (2007)] in which superconducting charge qubits are capacitively coupled to a single high-Q superconducting coplanar resonator. In this system, logical gates are realized by driving the resonator with microwave fields. Advantages of this architecture are that it allows for multi-qubit gates between non-nearest qubits and for the realization of gates in parallel, opening the possibility of fault-tolerant quantum computation with superconduting circuits. In this paper, we focus on one and two-qubit gates that do not require moving away from the charge-degeneracy `sweet spot'. This is advantageous as it helps to increase the qubit dephasing time and does not require modification of the original circuit QED. However these gates can, in some cases, be slower than those that do not use this constraint. Five types of two-qubit gates are discussed, these include gates based on virtual photons, real excitation of the resonator and a gate based on the geometric phase. We also point out the importance of selection rules when working at the charge degeneracy point.

23 pages, 8 figures

References in corpus (10)

• Resolving photon number states in a superconducting circuit
• Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
• AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
• Fast and robust two-qubit gates for scalable ion trap quantum computing
• Spectroscopy on two coupled flux qubits
• Selective coupling of superconducting qubits via tunable stripline cavity
• Coherent control of trapped ions using off-resonant lasers
• Scalable superconducting qubit circuits using dressed states
• Coherence stabilization of a two-qubit gate by AC fields
• Entanglement generation and protection by detuning modulation

Cited by in corpus (41)

• Coupling Superconducting Qubits via a Cavity Bus
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Architectures for a quantum random access memory
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits
• Measurement of Autler-Townes and Mollow transitions in a strongly driven superconducting qubit
• Two-Qubit State Tomography using a Joint Dispersive Read-Out
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Two-resonator circuit QED: A superconducting quantum switch
• Sideband Transitions and Two-Tone Spectroscopy of a Superconducting Qubit Strongly Coupled to an On-Chip Cavity
• Giant Kerr nonlinearities in Circuit-QED
• Holographic quantum computing
• Two-dimensional cavity grid for scalable quantum computation with superconducting circuits
• Entanglement of superconducting qubits via microwave fields: classical and quantum regimes
• Interqubit coupling mediated by a high-excitation-energy quantum object
• Generation of quantum-dot cluster states with superconducting transmission line resonator
• Proposal for generating and detecting multi-qubit GHZ states in circuit QED
• Quantum computing with a single molecular ensemble and a Cooper pair box
• Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation
• Quantum walks on circles in phase space via superconducting circuit quantum electrodynamics
• Coupling superconducting flux qubits at optimal point via dynamic decoupling with the quantum bus
• Protecting entanglement in superconducting qubits
• Photon creation from vacuum and interactions engineering in nonstationary circuit QED
• Concentration and purification of entanglement for qubit systems with ancillary cavity fields
• Physical implementation of topologically decoherence-protected superconducting qubits
• Quantum walk on circles in phase space
• Soft-pulse dynamical decoupling in a cavity
• Investigations of a coherently driven semiconductor optical cavity QED system
• Enhancement of sudden death of entanglement for driven qubits
• Robust creation of entangled states of two coupled flux qubits via dynamic control of the transition frequencies
• Entanglement of superconducting charge qubits by homodyne measurement
• Improving Intrinsic Decoherence in Multi-Quantum-Dot Charge Qubits
• Quantum theory of the low-frequency linear susceptibility of interferometer-type superconducting qubits
• Cavity-induced temperature control of a two-level system
• Realistic quantum manipulation of two-level system fluctuators
• Storing quantum states in bosonic dissipative networks
• Adaptive homodyne phase discrimination and qubit measurement
• Dissipative dynamics of circuit-QED in the mesoscopic regime
• Method for finding the critical temperature of the island in a SET structure