Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip Suppression

Cat qubits, a type of bosonic qubit encoded in a harmonic oscillator, can exhibit an exponential noise bias against bit-flip errors with increasing mean photon number. Here, we focus on cat qubits stabilized by two-photon dissipation, where pairs of photons are added and removed from a harmonic osci...

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Main Authors: Harald Putterman, Kyungjoo Noh, Rishi N. Patel, Gregory A. Peairs, Gregory S. MacCabe, Menyoung Lee, Shahriar Aghaeimeibodi, Connor T. Hann, Ignace Jarrige, Guillaume Marcaud, Yuan He, Hesam Moradinejad, John Clai Owens, Thomas Scaffidi, Patricio Arrangoiz-Arriola, Joe Iverson, Harry Levine, Fernando G. S. L. Brandão, Matthew H. Matheny, Oskar Painter
Format: Article
Language:English
Published: American Physical Society 2025-03-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.15.011070
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author Harald Putterman
Kyungjoo Noh
Rishi N. Patel
Gregory A. Peairs
Gregory S. MacCabe
Menyoung Lee
Shahriar Aghaeimeibodi
Connor T. Hann
Ignace Jarrige
Guillaume Marcaud
Yuan He
Hesam Moradinejad
John Clai Owens
Thomas Scaffidi
Patricio Arrangoiz-Arriola
Joe Iverson
Harry Levine
Fernando G. S. L. Brandão
Matthew H. Matheny
Oskar Painter
author_facet Harald Putterman
Kyungjoo Noh
Rishi N. Patel
Gregory A. Peairs
Gregory S. MacCabe
Menyoung Lee
Shahriar Aghaeimeibodi
Connor T. Hann
Ignace Jarrige
Guillaume Marcaud
Yuan He
Hesam Moradinejad
John Clai Owens
Thomas Scaffidi
Patricio Arrangoiz-Arriola
Joe Iverson
Harry Levine
Fernando G. S. L. Brandão
Matthew H. Matheny
Oskar Painter
author_sort Harald Putterman
collection DOAJ
description Cat qubits, a type of bosonic qubit encoded in a harmonic oscillator, can exhibit an exponential noise bias against bit-flip errors with increasing mean photon number. Here, we focus on cat qubits stabilized by two-photon dissipation, where pairs of photons are added and removed from a harmonic oscillator by an auxiliary, lossy buffer mode. This process requires a large loss rate and strong nonlinearities of the buffer mode that must not degrade the coherence and linearity of the oscillator. In this work, we show how to overcome this challenge by coloring the loss environment of the buffer mode with a multipole filter and optimizing the circuit to take into account additional inductances in the buffer mode. Using these techniques, we achieve near-ideal enhancement of cat-qubit bit-flip times with increasing photon number, reaching over 0.1 s with a mean photon number of only 4. Concurrently, our cat qubit remains highly phase coherent, with phase-flip times corresponding to an effective lifetime of T_{1,eff}≃70  μs, comparable with the bare oscillator lifetime. We achieve this performance even in the presence of an ancilla transmon, used for reading out the cat-qubit states, by engineering a tunable oscillator-ancilla dispersive coupling. Furthermore, the low nonlinearity of the harmonic oscillator mode allows us to perform pulsed cat-qubit stabilization, an important control primitive, where the stabilization can remain off for a significant fraction (e.g., two-thirds) of a 3  μs cycle without degrading bit-flip times. These advances are important for the realization of scalable error correction with cat qubits, where large noise bias and low phase-flip error rate enable the use of hardware-efficient outer error-correcting codes.
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spelling doaj-art-1d2714ea1a084bef954df3a8be323e8d2025-08-20T03:40:25ZengAmerican Physical SocietyPhysical Review X2160-33082025-03-0115101107010.1103/PhysRevX.15.011070Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip SuppressionHarald PuttermanKyungjoo NohRishi N. PatelGregory A. PeairsGregory S. MacCabeMenyoung LeeShahriar AghaeimeibodiConnor T. HannIgnace JarrigeGuillaume MarcaudYuan HeHesam MoradinejadJohn Clai OwensThomas ScaffidiPatricio Arrangoiz-ArriolaJoe IversonHarry LevineFernando G. S. L. BrandãoMatthew H. MathenyOskar PainterCat qubits, a type of bosonic qubit encoded in a harmonic oscillator, can exhibit an exponential noise bias against bit-flip errors with increasing mean photon number. Here, we focus on cat qubits stabilized by two-photon dissipation, where pairs of photons are added and removed from a harmonic oscillator by an auxiliary, lossy buffer mode. This process requires a large loss rate and strong nonlinearities of the buffer mode that must not degrade the coherence and linearity of the oscillator. In this work, we show how to overcome this challenge by coloring the loss environment of the buffer mode with a multipole filter and optimizing the circuit to take into account additional inductances in the buffer mode. Using these techniques, we achieve near-ideal enhancement of cat-qubit bit-flip times with increasing photon number, reaching over 0.1 s with a mean photon number of only 4. Concurrently, our cat qubit remains highly phase coherent, with phase-flip times corresponding to an effective lifetime of T_{1,eff}≃70  μs, comparable with the bare oscillator lifetime. We achieve this performance even in the presence of an ancilla transmon, used for reading out the cat-qubit states, by engineering a tunable oscillator-ancilla dispersive coupling. Furthermore, the low nonlinearity of the harmonic oscillator mode allows us to perform pulsed cat-qubit stabilization, an important control primitive, where the stabilization can remain off for a significant fraction (e.g., two-thirds) of a 3  μs cycle without degrading bit-flip times. These advances are important for the realization of scalable error correction with cat qubits, where large noise bias and low phase-flip error rate enable the use of hardware-efficient outer error-correcting codes.http://doi.org/10.1103/PhysRevX.15.011070
spellingShingle Harald Putterman
Kyungjoo Noh
Rishi N. Patel
Gregory A. Peairs
Gregory S. MacCabe
Menyoung Lee
Shahriar Aghaeimeibodi
Connor T. Hann
Ignace Jarrige
Guillaume Marcaud
Yuan He
Hesam Moradinejad
John Clai Owens
Thomas Scaffidi
Patricio Arrangoiz-Arriola
Joe Iverson
Harry Levine
Fernando G. S. L. Brandão
Matthew H. Matheny
Oskar Painter
Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip Suppression
Physical Review X
title Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip Suppression
title_full Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip Suppression
title_fullStr Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip Suppression
title_full_unstemmed Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip Suppression
title_short Preserving Phase Coherence and Linearity in Cat Qubits with Exponential Bit-Flip Suppression
title_sort preserving phase coherence and linearity in cat qubits with exponential bit flip suppression
url http://doi.org/10.1103/PhysRevX.15.011070
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