Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency Comb

We propose a novel approach to generate, protect, and control Gottesman-Kitaev-Preskill (GKP) qubits. It employs a microwave frequency comb parametrically modulating a Josephson circuit to enforce a dissipative dynamics of a high-impedance circuit mode, autonomously stabilizing the finite-energy GKP...

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Main Authors: L.-A. Sellem, A. Sarlette, Z. Leghtas, M. Mirrahimi, P. Rouchon, P. Campagne-Ibarcq
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.15.011011
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author L.-A. Sellem
A. Sarlette
Z. Leghtas
M. Mirrahimi
P. Rouchon
P. Campagne-Ibarcq
author_facet L.-A. Sellem
A. Sarlette
Z. Leghtas
M. Mirrahimi
P. Rouchon
P. Campagne-Ibarcq
author_sort L.-A. Sellem
collection DOAJ
description We propose a novel approach to generate, protect, and control Gottesman-Kitaev-Preskill (GKP) qubits. It employs a microwave frequency comb parametrically modulating a Josephson circuit to enforce a dissipative dynamics of a high-impedance circuit mode, autonomously stabilizing the finite-energy GKP code. The encoded GKP qubit is robustly protected against all dominant decoherence channels plaguing superconducting circuits but quasiparticle poisoning. In particular, noise from ancillary modes leveraged for dissipation engineering does not propagate at the logical level. In a state-of-the-art experimental setup, we estimate that the encoded qubit lifetime could extend 2 orders of magnitude beyond the break-even point, with substantial margin for improvement through progress in fabrication and control electronics. Qubit initialization, readout, and control via Clifford gates can be performed while maintaining the code stabilization, paving the way toward the assembly of GKP qubits in a fault-tolerant quantum computing architecture.
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institution Kabale University
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series Physical Review X
spelling doaj-art-f400b78ce00845f282457da538dab58c2025-01-22T15:05:25ZengAmerican Physical SocietyPhysical Review X2160-33082025-01-0115101101110.1103/PhysRevX.15.011011Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency CombL.-A. SellemA. SarletteZ. LeghtasM. MirrahimiP. RouchonP. Campagne-IbarcqWe propose a novel approach to generate, protect, and control Gottesman-Kitaev-Preskill (GKP) qubits. It employs a microwave frequency comb parametrically modulating a Josephson circuit to enforce a dissipative dynamics of a high-impedance circuit mode, autonomously stabilizing the finite-energy GKP code. The encoded GKP qubit is robustly protected against all dominant decoherence channels plaguing superconducting circuits but quasiparticle poisoning. In particular, noise from ancillary modes leveraged for dissipation engineering does not propagate at the logical level. In a state-of-the-art experimental setup, we estimate that the encoded qubit lifetime could extend 2 orders of magnitude beyond the break-even point, with substantial margin for improvement through progress in fabrication and control electronics. Qubit initialization, readout, and control via Clifford gates can be performed while maintaining the code stabilization, paving the way toward the assembly of GKP qubits in a fault-tolerant quantum computing architecture.http://doi.org/10.1103/PhysRevX.15.011011
spellingShingle L.-A. Sellem
A. Sarlette
Z. Leghtas
M. Mirrahimi
P. Rouchon
P. Campagne-Ibarcq
Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency Comb
Physical Review X
title Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency Comb
title_full Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency Comb
title_fullStr Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency Comb
title_full_unstemmed Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency Comb
title_short Dissipative Protection of a GKP Qubit in a High-Impedance Superconducting Circuit Driven by a Microwave Frequency Comb
title_sort dissipative protection of a gkp qubit in a high impedance superconducting circuit driven by a microwave frequency comb
url http://doi.org/10.1103/PhysRevX.15.011011
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