Generation and detection of NOON states in superconducting circuits

Abstract

NOON states, states between two modes of light of the form $|N,0⟩+e^{i\varphi }|0,N⟩$ allow for super-resolution interformetry. We show how NOON states can be efficiently produced in circuit quntum electrodynamics using superconducting phase qubits and resonators. We propose a protocol where only one interaction between the two modes is required, creating all the necessary entanglement at the start of the procedure. This protocol makes active use of the first three states of the phase qubits. Additionally, we show how to efficiently verify the success of such an experiment, even for large NOON states, using randomly sampled measurements and semidefinite programming techniques.

15 pages and 3 figures

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• Engineering two-mode entangled states between two superconducting resonators by dissipation
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• Efficient scheme for generation of photonic NOON states in circuit QED
• Generating double NOON states of photons in circuit QED
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• Crosstalk-insensitive method for simultaneously coupling multiple pairs of resonators
• Engineering entangled microwave photon states via multiphoton interactions between two cavity fields and a superconducting qubit
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• Entanglement between distant atoms mediated by a hybrid quantum system consisting of superconducting flux qubit and resonators
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• Engineering nonlinear boson-boson interactions using mediating spin systems