A biased-erasure cavity qubit with hardware-efficient quantum error detection

Fuente: arXiv
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Main Authors: Mai, Jiasheng, Liu, Qiyu, Deng, Xiaowei, Cai, Yanyan, Ni, Zhongchu, Zhang, Libo, Hu, Ling, Zheng, Pan, Liu, Song, Xu, Yuan, Yu, Dapeng
Format: Preprint
Published: 2026
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author Mai, Jiasheng
Liu, Qiyu
Deng, Xiaowei
Cai, Yanyan
Ni, Zhongchu
Zhang, Libo
Hu, Ling
Zheng, Pan
Liu, Song
Xu, Yuan
Yu, Dapeng
author_facet Mai, Jiasheng
Liu, Qiyu
Deng, Xiaowei
Cai, Yanyan
Ni, Zhongchu
Zhang, Libo
Hu, Ling
Zheng, Pan
Liu, Song
Xu, Yuan
Yu, Dapeng
contents Erasure qubits are beneficial for quantum error correction due to their relaxed threshold requirements. While dual-rail erasure qubits have been demonstrated with a strong error hierarchy in circuit quantum electrodynamics, biased-erasure qubits -- where erasures originate predominantly from one logical basis state -- offer further advantages. Here, we realize a hardware-efficient biased-erasure qubit encoded in the vacuum and two-photon Fock states of a single microwave cavity. The qubit exhibits an erasure bias ratio of over 265. By using a transmon ancilla for logical measurements and mid-circuit erasure detections, we achieve logical state assignment errors below 1% and convert over 99.3% leakage errors into detected erasures. After postselection against erasures, we achieve effective logical relaxation and dephasing rates of $(6.2~\mathrm{ms})^{-1}$ and $(3.1~\mathrm{ms})^{-1}$, respectively, which exceed the erasure error rate by factors of 31 and 15, establishing a strong error hierarchy within the logical subspace. These postselected error rates indicate a coherence gain of about 6.0 beyond the break-even point set by the best physical qubit encoded in the two lowest Fock states in the cavity. Moreover, randomized benchmarking with interleaved erasure detections reveals a residual logical gate error of 0.29%. This work establishes a compact and hardware-efficient platform for biased-erasure qubits, promising concatenations into outer-level stabilizer codes toward fault-tolerant quantum computation.
format Preprint
id arxiv_https___arxiv_org_abs_2601_21616
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A biased-erasure cavity qubit with hardware-efficient quantum error detection
Mai, Jiasheng
Liu, Qiyu
Deng, Xiaowei
Cai, Yanyan
Ni, Zhongchu
Zhang, Libo
Hu, Ling
Zheng, Pan
Liu, Song
Xu, Yuan
Yu, Dapeng
Quantum Physics
Erasure qubits are beneficial for quantum error correction due to their relaxed threshold requirements. While dual-rail erasure qubits have been demonstrated with a strong error hierarchy in circuit quantum electrodynamics, biased-erasure qubits -- where erasures originate predominantly from one logical basis state -- offer further advantages. Here, we realize a hardware-efficient biased-erasure qubit encoded in the vacuum and two-photon Fock states of a single microwave cavity. The qubit exhibits an erasure bias ratio of over 265. By using a transmon ancilla for logical measurements and mid-circuit erasure detections, we achieve logical state assignment errors below 1% and convert over 99.3% leakage errors into detected erasures. After postselection against erasures, we achieve effective logical relaxation and dephasing rates of $(6.2~\mathrm{ms})^{-1}$ and $(3.1~\mathrm{ms})^{-1}$, respectively, which exceed the erasure error rate by factors of 31 and 15, establishing a strong error hierarchy within the logical subspace. These postselected error rates indicate a coherence gain of about 6.0 beyond the break-even point set by the best physical qubit encoded in the two lowest Fock states in the cavity. Moreover, randomized benchmarking with interleaved erasure detections reveals a residual logical gate error of 0.29%. This work establishes a compact and hardware-efficient platform for biased-erasure qubits, promising concatenations into outer-level stabilizer codes toward fault-tolerant quantum computation.
title A biased-erasure cavity qubit with hardware-efficient quantum error detection
topic Quantum Physics
url https://arxiv.org/abs/2601.21616