Continuous generation and stabilization of mesoscopic field superposition states in a quantum circuit
Authors: A.Roy, Z.Leghtas, A.D. Stone, M.Devoret, and M.Mirrahimi, Physical Review A, Vol. 91 No 1, pp. 013810, 7 January 2015, DOI: 10.1103/PhysRevA.91.013810
While dissipation is widely considered to be harmful for quantum coherence, it can, when properly engineered, lead to the stabilization of nontrivial 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 nonclassical 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.
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BibTeX:
@Article{2016-02-02,
author = {Z.Leghtas A.Roy, A.D. Stone, M.Devoret, and M.Mirrahimi},
title = {Continuous generation and stabilization of mesoscopic field superposition states in a quantum circuit},
journal = {Physical Review A},
volume = {91},
number = {1},
pages = {013810},
year = {2015},
}
While dissipation is widely considered to be harmful for quantum coherence, it can, when properly engineered, lead to the stabilization of nontrivial 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 nonclassical 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.
Download PDF
BibTeX:
@Article{2016-02-02,
author = {Z.Leghtas A.Roy, A.D. Stone, M.Devoret, and M.Mirrahimi},
title = {Continuous generation and stabilization of mesoscopic field superposition states in a quantum circuit},
journal = {Physical Review A},
volume = {91},
number = {1},
pages = {013810},
year = {2015},
}