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Properties of time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Recently, Huang et al. [Phys. Rev. Applied 15, 034065 (2021)] have shown that time-dependent…

Standard approaches to quantum error correction for fault-tolerant quantum computing are based on encoding a single logical qubit into many physical ones, resulting in asymptotically zero encoding rates and therefore huge resource…

量子物理 · 物理学 2024-09-06 Hayato Goto

Surface codes are generally studied based on the assumption that each of the qubits that make up the surface code lattice suffers noise that is independent and identically distributed (i.i.d.). However, real benchmarks of the individual…

We present two new color code circuits: one inspired by superdense coding and the other based on a middle-out strategy where the color code state appears halfway between measurements. We also present ``Chromobius'', an open source…

量子物理 · 物理学 2023-12-15 Craig Gidney , Cody Jones

We extend the circuit-level erasure noise model and Wang et al.\ quadratic expansion fitting of Chang et al.\ from planar surface codes to hyperbolic CSS surface codes. Under Chang et al.'s noise models, the $\{8,3\}$ Bolza fine-grained…

量子物理 · 物理学 2026-03-19 Aygul Azatovna Galimova

For successful realization of a quantum computer, its building blocks (qubits) should be simultaneously scalable and sufficiently protected from environmental noise. Recently, a novel approach to the protection of superconducting qubits has…

介观与纳米尺度物理 · 物理学 2013-03-06 Sergey Gladchenko , David Olaya , Eva Dupont-Ferrier , Benoit Doucot , Lev B. Ioffe , Michael E. Gershenson

We describe a method for creating twist defects in the honeycomb Floquet code of Hastings and Haah. In particular, we construct twist defects at the endpoints of condensation defects, which are built by condensing emergent fermions along…

量子物理 · 物理学 2023-09-21 Tyler D. Ellison , Joseph Sullivan , Arpit Dua

Practical quantum computers will require resource-efficient error-correcting codes. The rotated surface code uses approximately half the number of qubits as the unrotated surface code to create a logical qubit with the same error-correcting…

量子物理 · 物理学 2024-10-14 Anthony Ryan O'Rourke , Simon Devitt

We present a fault-tolerant mapping of rotated surface codes onto a $2\times N$ silicon spin-qubit railway architecture, utilizing electron shuttling to resolve the wiring fan-out bottleneck. Employing circuit-level noise modeling, we…

Modern superconducting and semiconducting quantum hardware use external charge and microwave flux drives to both tune and operate devices. However, each external drive is susceptible to low-frequency (e.g., $1/f$) noise that can drastically…

We propose a new class of error-correcting dynamic codes in two and three dimensions that has no explicit connection to any parent subsystem code. The two-dimensional code, which we call the CSS honeycomb code, is geometrically similar to…

量子物理 · 物理学 2023-10-26 Margarita Davydova , Nathanan Tantivasadakarn , Shankar Balasubramanian

The surface code is a quantum error-correcting code for one logical qubit, protected by spatially localized parity checks in two dimensions. Due to fundamental constraints from spatial locality, storing more logical qubits requires either…

量子物理 · 物理学 2024-10-15 Yifan Hong , Matteo Marinelli , Adam M. Kaufman , Andrew Lucas

We introduce a technique that uses gauge fixing to significantly improve the quantum error correcting performance of subsystem codes. By changing the order in which check operators are measured, valuable additional information can be…

量子物理 · 物理学 2021-10-18 Oscar Higgott , Nikolas P. Breuckmann

Logical qubits can be protected against environmental noise by encoding them into a highly entangled state of many physical qubits and actively intervening in the dynamics with stabilizer measurements. In this work, we numerically optimize…

量子物理 · 物理学 2025-06-18 Áron Márton , János K. Asbóth

Due to the high sensitivity of qubits to environmental noise, which leads to decoherence and information loss, active quantum error correction(QEC) is essential. Surface codes represent one of the most promising fault-tolerant QEC schemes,…

硬件体系结构 · 计算机科学 2025-07-08 Hao Wang , Erjia Xiao , Wenbo Mu , Songhuan He , Zhongyi Ni , Lingfeng Zhang , Xiaokun Zhan , Yifei Cui , Jinguo Liu , Cheng Wang , Zhongrui Wang , Renjing Xu

Experimental realization of stabilizer-based quantum error correction (QEC) codes that would yield superior logical qubit performance is one of the formidable task for state-of-the-art quantum processors. A major obstacle towards realizing…

量子物理 · 物理学 2022-03-14 I. A. Simakov , I. S. Besedin , A. V. Ustinov

We consider a topological stabilizer code on a honeycomb grid, the "XYZ$^2$" code. The code is inspired by the Kitaev honeycomb model and is a simple realization of a "matching code" discussed by Wootton [J. Phys. A: Math. Theor. 48, 215302…

量子物理 · 物理学 2022-05-04 Basudha Srivastava , Anton Frisk Kockum , Mats Granath

We introduce a new class of qubit codes that we call Evenbly codes, building on a previous proposal of hyperinvariant tensor networks. Its tensor network description consists of local, non-perfect tensors describing CSS codes interspersed…

The surface code is one of the most promising candidates for combating errors in large scale fault-tolerant quantum computation. A fault-tolerant decoder is a vital part of the error correction process---it is the algorithm which computes…

量子物理 · 物理学 2015-09-15 Fern H. E. Watson , Hussain Anwar , Dan E. Browne

Fault-tolerant quantum error correction is essential for implementing quantum algorithms of significant practical importance. In this work, we propose a highly effective use of the surface-GKP code, i.e., the surface code consisting of…

量子物理 · 物理学 2022-02-01 Kyungjoo Noh , Christopher Chamberland , Fernando G. S. L. Brandão