Hardware efficient autonomous error correction with linear couplers in superconducting circuits

Fuente: arXiv
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Autores principales: Li, Ziqian, Roy, Tanay, Pérez, David Rodríguez, Schuster, David I., Kapit, Eliot
Formato: Preprint
Publicado: 2023
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author Li, Ziqian
Roy, Tanay
Pérez, David Rodríguez
Schuster, David I.
Kapit, Eliot
author_facet Li, Ziqian
Roy, Tanay
Pérez, David Rodríguez
Schuster, David I.
Kapit, Eliot
contents Large-scale quantum computers will inevitably need quantum error correction (QEC) to protect information against decoherence. Given that the overhead of such error correction is often formidable, autonomous quantum error correction (AQEC) proposals offer a promising near-term alternative. AQEC schemes work by transforming error states into excitations that can be efficiently removed through engineered dissipation. The recently proposed AQEC scheme by Li et al., called the Star code, can autonomously correct or suppress all single qubit error channels using two transmons as encoders with a tunable coupler and two lossy resonators as a cooling source. The Star code requires only two-photon interactions and can be realized with linear coupling elements, avoiding experimentally challenging higher-order terms needed in many other AQEC proposals, but needs carefully selected parameters to achieve quadratic improvements in logical states' lifetimes. Here, we theoretically and numerically demonstrate the optimal parameter choices in the Star Code. We further discuss adapting the Star code to other planar superconducting circuits, which offers a scalable alternative to single qubits for incorporation in larger quantum computers or error correction codes.
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id arxiv_https___arxiv_org_abs_2303_01110
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Hardware efficient autonomous error correction with linear couplers in superconducting circuits
Li, Ziqian
Roy, Tanay
Pérez, David Rodríguez
Schuster, David I.
Kapit, Eliot
Quantum Physics
Large-scale quantum computers will inevitably need quantum error correction (QEC) to protect information against decoherence. Given that the overhead of such error correction is often formidable, autonomous quantum error correction (AQEC) proposals offer a promising near-term alternative. AQEC schemes work by transforming error states into excitations that can be efficiently removed through engineered dissipation. The recently proposed AQEC scheme by Li et al., called the Star code, can autonomously correct or suppress all single qubit error channels using two transmons as encoders with a tunable coupler and two lossy resonators as a cooling source. The Star code requires only two-photon interactions and can be realized with linear coupling elements, avoiding experimentally challenging higher-order terms needed in many other AQEC proposals, but needs carefully selected parameters to achieve quadratic improvements in logical states' lifetimes. Here, we theoretically and numerically demonstrate the optimal parameter choices in the Star Code. We further discuss adapting the Star code to other planar superconducting circuits, which offers a scalable alternative to single qubits for incorporation in larger quantum computers or error correction codes.
title Hardware efficient autonomous error correction with linear couplers in superconducting circuits
topic Quantum Physics
url https://arxiv.org/abs/2303.01110