Deterministic generation of Greenberger-Horne-Zeilinger entangled states of cat-state qubits in circuit QED

Abstract

We present an efficient method to generate a Greenberger-Horne-Zeilinger (GHZ) entangled state of three cat-state qubits (cqubits) via circuit QED. The GHZ state is prepared with three microwave cavities coupled to a superconducting transmon qutrit. Because the qutrit remains in the ground state during the operation, decoherence caused by the energy relaxation and dephasing of the qutrit is greatly suppressed. The GHZ state is created deterministically because no measurement is involved. Numerical simulations show that high-fidelity generation of a three-cqubit GHZ state is feasible with present circuit QED technology. This proposal can be easily extended to create a $N$-cqubit GHZ state ($N\ge 3$), with $N$ microwave or optical cavities coupled to a natural or artificial three-level atom.

11 pages, 4 figures

References in corpus (6)

• Charge insensitive qubit design derived from the Cooper pair box
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Microwave photonics with superconducting quantum circuits
• Effective Hamiltonian Theory and Its Applications in Quantum Information
• Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits
• Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit

Cited by in corpus (4)

• Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits
• Construction of a qudit using Schrodinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit
• Single-step multipartite entangled states generation from coupled circuit cavities
• Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED