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Stabilizing a Bosonic Qubit Using Colored Dissipation

Putterman, Harald and Iverson, Joseph K. and Xu, Qian and Jiang, Liang and Painter, Oskar and Brandão, Fernando G. S. L. and Noh, Kyungjoo (2022) Stabilizing a Bosonic Qubit Using Colored Dissipation. Physical Review Letters, 128 (11). Art. No. 110502. ISSN 0031-9007. doi:10.1103/PhysRevLett.128.110502.

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Protected qubits such as the 0−π qubit, and bosonic qubits including cat qubits and Gottesman-Kitaev-Preskill (GKP) qubits offer advantages for fault tolerance. Some of these protected qubits (e.g., 0−π qubit and Kerr-cat qubit) are stabilized by Hamiltonians which have (near-)degenerate ground state manifolds with large energy gaps to the excited state manifolds. Without dissipative stabilization mechanisms the performance of such energy-gap-protected qubits can be limited by leakage to excited states. Here, we propose a scheme for dissipatively stabilizing an energy-gap-protected qubit using colored (i.e., frequency-selective) dissipation without inducing errors in the ground state manifold. Concretely we apply our colored dissipation technique to Kerr-cat qubits and propose colored Kerr-cat qubits which are protected by an engineered colored single-photon loss. When applied to the Kerr-cat qubits our scheme significantly suppresses leakage-induced bit-flip errors (which we show are a limiting error mechanism) while only using linear interactions. Beyond the benefits to the Kerr-cat qubit we also show that our frequency-selective loss technique can be applied to a broader class of protected qubits.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Putterman, Harald0000-0002-5841-181X
Iverson, Joseph K.0000-0003-4665-8839
Xu, Qian0000-0002-8738-9420
Jiang, Liang0000-0002-0000-9342
Painter, Oskar0000-0002-1581-9209
Brandão, Fernando G. S. L.0000-0003-3866-9378
Noh, Kyungjoo0000-0002-6318-8472
Alternate Title:Colored Kerr cat qubits
Additional Information:© 2022 American Physical Society. Received 11 August 2021; revised 16 December 2021; accepted 16 February 2022; published 14 March 2022. We thank Arne L. Grimsmo, Matthew H. Matheny, and Gil Refael for useful comments on the manuscript.
Group:AWS Center for Quantum Computing, Institute for Quantum Information and Matter
Issue or Number:11
Record Number:CaltechAUTHORS:20210922-210830647
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111013
Deposited By: Joy Painter
Deposited On:23 Sep 2021 15:25
Last Modified:05 Apr 2022 20:45

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