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Quantum error correction is of crucial importance for fault-tolerant quantum computers. As an essential step towards the implementation of quantum error-correcting codes, quantum non-demolition (QND) measurements are needed to efficiently…

A major milestone of quantum error correction is to achieve the fault-tolerance threshold beyond which quantum computers can be made arbitrarily accurate. This requires extraordinary resources and engineering efforts. We show that even…

Quantum Physics · Physics 2021-06-16 Miroslav Urbanek , Benjamin Nachman , Wibe A. de Jong

Quantum stabilizer codes (QSCs) suffer from a low quantum coding rate, since they have to recover the quantum bits (qubits) in the face of both bit-flip and phase-flip errors. In this treatise, we conceive a low-complexity concatenated…

Quantum Physics · Physics 2020-10-20 Daryus Chandra , Zunaira Babar , Soon Xin Ng , Lajos Hanzo

We propose a quantum error mitigation scheme for single-qubit measurement errors, particularly suited for one-way quantum computation. Contrary to well established error mitigation methods for circuit-based quantum computation, that require…

Quantum Physics · Physics 2024-11-15 Tobias Hartung , Stephan Schuster , Joachim von Zanthier , Karl Jansen

We demonstrate coherent control of a quantum dot exciton using photocurrent detection with a sinusoidal reverse bias. Optical control is performed at low bias, where tunneling-limited coherence times are long. Following this step, the…

Mesoscale and Nanoscale Physics · Physics 2013-05-13 J. H. Quilter , R. J. Coles , A. J. Ramsay , A. M. Fox , M. S. Skolnick

The central challenge of quantum computing is implementing high-fidelity quantum gates at scale. However, many existing approaches to qubit control suffer from a scale-performance trade-off, impeding progress towards the creation of useful…

The promise of quantum computing is closer to reality today than ever before, thanks to rapid progress in the development of quantum hardware. Even as qubit lifetimes and gate fidelities continue to improve, realizing robust, fault-tolerant…

Quantum Physics · Physics 2026-04-02 Vismay Joshi , Anubhab Rudra , Sourav Dutta , Siddharth Dhomkar , Prabha Mandayam

The central challenge in building a quantum computer is error correction. Unlike classical bits, which are susceptible to only one type of error, quantum bits ("qubits") are susceptible to two types of error, corresponding to flips of the…

We suggest a nanoelectromechanical setup that generates properly entangled ancillary ("ancilla") qubits for error correction algorithms in quantum computing, demonstrated as an encoder for the three-qubit bit flip code. The setup is based…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Danko Radić , Leonid Y. Gorelik , Sergei I. Kulinich , Robert I. Shekhter

A fully fault-tolerant implementation of the quantum error-detecting Iceberg $[[2m, 2m-2, 2]]$ code applied to a Toffoli circuit achieved beyond-break-even error detection on a leading trapped-ion quantum computer, where the effect of…

Quantum Physics · Physics 2026-05-04 Colburn Riffel , Reece Robertson , Peter Hendrickson

In the current era of Noisy Intermediate-Scale Quantum (NISQ) technology, the practical use of quantum computers remains inhibited by our inability to aptly decouple qubits from their environment to mitigate computational errors. In this…

Quantum Physics · Physics 2022-05-09 Thomas J. Maldonado , Johannes Flick , Stefan Krastanov , Alexey Galda

Today's most advanced ion trap quantum computers have significant overhead due to the need for dual-species operation. Looking ahead, logical qubit register sizes will be limited by the encoding rate needed to correct generic Pauli errors.…

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…

Quantum Physics · Physics 2026-01-30 Jiasheng Mai , Qiyu Liu , Xiaowei Deng , Yanyan Cai , Zhongchu Ni , Libo Zhang , Ling Hu , Pan Zheng , Song Liu , Yuan Xu , Dapeng Yu

A solid state spin is an attractive system with which to realize an ultra-sensitive magnetic field sensor. A spin superposition state will acquire a phase induced by the target field, and we can estimate the field strength from this phase.…

Quantum Physics · Physics 2017-04-05 Yuichiro Matsuzaki , Simon Benjamin

Quantum error mitigation plays a crucial role in the current noisy-intermediate-scale-quantum (NISQ) era. As we advance towards achieving a practical quantum advantage in the near term, error mitigation emerges as an indispensable…

Quantum Physics · Physics 2025-06-25 Peiyi Li , Ji Liu , Alvin Gonzales , Zain Hamid Saleem , Huiyang Zhou , Paul Hovland

Quantum error correction codes (QECCs) are critical for realizing reliable quantum computing by protecting fragile quantum states against noise and errors. However, limited research has analyzed the noise resilience of QECCs to help select…

Quantum Physics · Physics 2025-04-22 Avimita Chatterjee , Subrata Das , Swaroop Ghosh

The error correcting capabilities of the Calderbank-Shor-Steane [[7,1,3]] quantum code, together with a fault-tolerant syndrome extraction by means of several ancilla states, have been numerically studied. A simple probability expression to…

Quantum Physics · Physics 2007-05-23 Pedro J. Salas

Quantum computers are highly susceptible to errors due to unintended interactions with their environment. It is crucial to correct these errors without gaining information about the quantum state, which would result in its destruction…

Quantum Physics · Physics 2024-03-22 Santiago Lopez , Jonathan Andrade Plascencia , Gabriel N. Perdue

Implementing large-scale quantum algorithms with practical advantage will require fault-tolerance achieved through quantum error correction, but the associated overhead is a significant cost. The overhead can be reduced by engineering…

Error correction allows a quantum computer to preserve states long beyond the decoherence time of its physical qubits. Key to any scheme of error correction is the decoding algorithm, which estimates the error state of qubits from the…

Quantum Physics · Physics 2025-01-06 Stasiu Wolanski , Ben Barber