Continuous Generation and Stabilization of Mesoscopic Field Superposition States in a Quantum Circuit

Abstract

While dissipation is widely considered as being harmful for quantum coherence, it can, when properly engineered, lead to the stabilization of non-trivial pure quantum states. We propose a scheme for continuous generation and stabilization of Schrödinger cat states in a cavity using dissipation engineering. We first generate non-classical photon states with definite parity by means of a two-photon drive and dissipation, and then stabilize these transient states against single-photon decay. The single-photon stabilization is autonomous, and is implemented through a second engineered bath, which exploits the photon number dependent frequency-splitting due to Kerr interactions in the strongly dispersive regime of circuit QED. Starting with the Hamiltonian of the baths plus cavity, we derive an effective model of only the cavity photon states along with analytic expressions for relevant physical quantities, such as the stabilization rate. The deterministic generation of such cat states is one of the key ingredients in performing universal quantum computation.

9 pages, 6 figures

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Cited by in corpus (11)

• Entanglement Stabilization using Parity Detection and Real-Time Feedback in Superconducting Circuits
• Exact results for Schrödinger cats in driven-dissipative systems and their feedback control
• Single-photon Resolved Cross-Kerr Interaction for Autonomous Stabilization of Photon-number States
• Dissipation-induced bistability in the two-photon Dicke model
• The Wigner Current for Open Quantum Systems
• Superconducting circuit simulator of Bose-Hubbard model with a flat band
• Theory of interactions between cavity photons induced by a mesoscopic circuit
• Dissipative quantum state preparation and metastability in two-photon micromasers
• Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point
• Deterministic amplification of Schroedinger cat states in circuit quantum electrodynamics
• Non-Markovian Quantum Feedback Networks I: Quantum Transmission Lines, Lossless Bounded Real Property and Limit Markovian Channels