Measurement-based Synthesis of multi-qubit Entangled States in Superconducting Cavity QED

Abstract

Entangled multi-qubit states may be generated through a dispersive collective QND measurement of superconducting qubits coupled to a microwave transmission line resonator. Using the quantum trajectory approach, we analyze the stochastic measurement traces that would be observed in experiments. We illustrate the synthesis of three-qubit W- and GHZ-states, and we analyze how the fidelity and the entanglement evolve in time during the measurement. We discuss the influence of decoherence and relaxation, as well as of imperfect control over experimental parameters. We show that the desired states can be generated on timescales much faster than the qubit decoherence rates.

11 pages, 8 figures

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• Circuit Quantum Electrodynamics
• Microwave photonics with superconducting quantum circuits
• Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
• Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
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• Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
• Tunable joint measurements in the dispersive regime of cavity QED
• Proposal for generating and detecting multi-qubit GHZ states in circuit QED
• One-step multi-qubit GHZ state generation in a circuit QED system
• Entangling superconducting qubits in a multi-cavity system
• Entanglement generation and quantum information transfer between spatially-separated qubits in different cavities
• Quantum trajectories and their statistics for remotely entangled quantum bits
• Greenberger-Horne-Zeilinger generation protocol for N superconducting transmon qubits capacitively coupled to a quantum bus
• Generation and stabilization of a three-qubit entangled W state in circuit QED via quantum feedback control
• Rydberg atom mediated non-destructive readout of collective rotational states in polar molecule arrays
• Characterizing multipartite symmetric Dicke states under the effects of noise
• Fast generation of multiparticle entangled state for flux qubits in a circle array of transmission line resonators with tunable coupling
• Transferring arbitrary d-dimensional quantum states of a superconducting qudit in circuit QED
• Parity measurement of remote qubits using dispersive coupling and photodetection
• Measurement-induced entanglement of two transmon qubits by a single photon
• Ideal Quantum non-demolishing measurement of a flux qubit at variable bias
• Entanglement generation via single-qubit rotations in a torn Hilbert space
• Generation of perfectly entangled two and three qubits states by classical random interaction
• Dynamics and multiqubit entanglement in distant resonators
• Robustness of the projected squeezed state protocol
• Transferring entangled states of photonic cat-state qubits in circuit QED