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Quantum computing devices are inevitably subject to errors. To leverage quantum technologies for computational benefits in practical applications, quantum algorithms and protocols must be implemented reliably under noise and imperfections.…

Quantum Physics · Physics 2022-07-18 Jihye Kim , Byungdu Oh , Yonuk Chong , Euyheon Hwang , Daniel K. Park

The realization of quantum error correction is an essential ingredient for reaching the full potential of fault-tolerant universal quantum computation. Using a range of different schemes, logical qubits can be redundantly encoded in a set…

In the current Noisy Intermediate Scale Quantum (NISQ) era of quantum computing, qubit technologies are prone to imperfections, giving rise to various errors such as gate errors, decoherence/dephasing, measurement errors, leakage, and…

Quantum Physics · Physics 2024-02-22 Avimita Chatterjee , Koustubh Phalak , Swaroop Ghosh

We use density matrix simulations to study the performance of three distance three quantum error correcting codes in the context of the rare-earth-ion-doped crystal (RE) platform for quantum computing. We analyze pseudothresholds for these…

Quantum Physics · Physics 2022-06-22 Arvid Rolander , Adam Kinos , Andreas Walther

A promising strategy to protect quantum information from noise-induced errors is to encode it into the low-energy states of a topological quantum memory device. However, readout errors from such memory under realistic settings is less…

Quantum Physics · Physics 2024-01-15 Weishun Zhong , Oles Shtanko , Ramis Movassagh

The quantum computing devices of today have tens to hundreds of qubits that are highly susceptible to noise due to unwanted interactions with their environment. The theory of quantum error correction provides a scheme by which the effects…

Quantum Physics · Physics 2022-08-02 Akshaya Jayashankar , Prabha Mandayam

Quantum computing is poised to solve practically useful problems which are computationally intractable for classical supercomputers. However, the current generation of quantum computers are limited by errors that may only partially be…

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…

Quantum Physics · Physics 2022-03-14 I. A. Simakov , I. S. Besedin , A. V. Ustinov

In the endeavour to make quantum computers a reality, integrated superconducting circuits have become a promising architecture. A major challenge of this approach is decoherence originating from spurious atomic tunneling defects at the…

Quantum Physics · Physics 2023-03-31 Jürgen Lisenfeld , Alexander Bilmes , Alexey V. Ustinov

We identify gauge freedoms in quantum error correction (QEC) codes and introduce strategies for optimal control algorithms to find the gauges which allow the easiest experimental realization. Hereby, the optimal gauge depends on the…

Quantum Physics · Physics 2015-03-06 V. Nebendahl

Quantum error correction (QEC) is a way to protect quantum information against noise. It consists of encoding input information into entangled quantum states known as the code space. Furthermore, to classify if the encoded information is…

Quantum Physics · Physics 2024-02-15 Pejman Jouzdani , H. Arslan Hashim , Eduardo R. Mucciolo

Erasure qubits offer a promising avenue toward reducing the overhead of quantum error correction (QEC) protocols. However, they require additional operations, such as erasure checks, that may add extra noise and increase runtime of QEC…

Quantum Physics · Physics 2026-01-15 Shouzhen Gu , Yotam Vaknin , Alex Retzker , Aleksander Kubica

Quantum error correction (QEC) is a procedure by which the quantum state of a system is protected against a known type of noise, by preemptively adding redundancy to that state. Such a procedure is commonly used in quantum computing when…

Quantum Physics · Physics 2022-04-28 Arshag Danageozian , Mark M. Wilde , Francesco Buscemi

The construction of large, coherent quantum systems necessary for quantum computation remains an entreating but elusive goal, due to the ubiquitous nature of decoherence. Recent progress in quantum error correction schemes have given new…

Quantum Physics · Physics 2008-02-03 Isaac L. Chuang , Yoshihisa Yamamoto

We present a quantum error correction code which protects a qubit of information against general one qubit errors which maybe caused by the interaction with the environment. To accomplish this, we encode the original state by distributing…

Quantum Physics · Physics 2007-05-23 Raymond Laflamme , Cesar Miquel , Juan Pablo Paz , Wojciech Hubert Zurek

Quantum error correction (QEC) is an essential step towards realising scalable quantum computers. Theoretically, it is possible to achieve arbitrarily long protection of quantum information from corruption due to decoherence or imperfect…

Quantum error correcting (QEC) stabilizer codes enable protection of quantum information against errors during storage and processing. Simulation of noisy QEC codes is used to identify the noise parameters necessary for advantageous…

Quantum Physics · Physics 2025-03-17 Sascha Heußen , Don Winter , Manuel Rispler , Markus Müller

Encoding in a high-dimensional Hilbert space improves noise resilience in quantum information processing. This approach, however, may result in cross-mode coupling and detection complexities, thereby reducing quantum cryptography…

Quantum Physics · Physics 2025-10-30 Amit Kam , Kfir Sulimany , Shai Tsesses , Uzi Pereg

Amplitude damping is a dominant source of error in high performance quantum processors. A promising approach in quantum error correction is erasure error conversion, where errors are converted into detectable leakage states. Dual-rail…

Quantum Physics · Physics 2025-06-19 James Wills , Mohammad Tasnimul Haque , Brian Vlastakis

Dissipative quantum error correction (QEC) autonomously protects quantum information using engineered dissipation and offers a promising alternative to error correction via measurement and feedback. However, scalability remains a challenge,…

Quantum Physics · Physics 2026-03-19 Ivan Rojkov , Elias Zapusek , Florentin Reiter
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