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Scalable quantum computing and communication requires the protection of quantum information from the detrimental effects of decoherence and noise. Previous work tackling this problem has relied on the original circuit model for quantum…

量子物理 · 物理学 2014-04-23 B. A. Bell , D. A. Herrera-Martí , M. S. Tame , D. Markham , W. J. Wadsworth , J. G. Rarity

Active quantum error correction using qubit stabilizer codes has emerged as a promising, but experimentally challenging, engineering program for building a universal quantum computer. In this review we consider the formalism of qubit…

量子物理 · 物理学 2015-04-13 Barbara M. Terhal

Error correction is of utmost necessity for large-scale quantum computing. Quantum error correcting codes can be degenerate, if more than one type of error can map the input state to the same error state. In this paper, we propose a 6-qubit…

量子物理 · 物理学 2019-08-23 Ritajit Majumdar , Susmita Sur-Kolay

We present a scheme for correcting qubit loss error while quantum computing with neutral atoms in an addressable optical lattice. The qubit loss is first detected using a quantum non-demolition measurement and then transformed into a…

量子物理 · 物理学 2016-09-08 Jiri Vala , K. Birgitta Whaley , David S. Weiss

The realization of effective quantum error correction protocols remains a central challenge in the development of scalable quantum computers. Employing high-dimensional quantum systems (qudits) can offer more hardware-efficient protocols…

量子物理 · 物理学 2025-03-18 Sumin Lim , Mikhail V. Vaganov , Junjie Liu , Arzhang Ardavan

A scheme is presented for protecting one-qubit quantum information against decoherence due to a general environment and local exchange interactions. The scheme operates essentially by distributing information over two pairs of qubits and…

量子物理 · 物理学 2009-11-07 Chui-Ping Yang , Shih-I Chu , Siyuan Han

We describe and analyze leakage errors of singlet-triplet qubits. Even though leakage errors are a natural problem for spin qubits encoded using quantum dot arrays, they have obtained little attention in previous studies. We describe the…

量子物理 · 物理学 2015-02-24 Sebastian Mehl , Hendrik Bluhm , David P. DiVincenzo

In classical case there is simplest method of error correction with using three equal bits instead of one. In the paper is shown, how the scheme fails for quantum error correction with complex vector spaces of usual quantum mechanics, but…

量子物理 · 物理学 2007-05-23 Alexander Yu. Vlasov

Quantum states have high affinity for errors and hence error correction is of utmost importance to realise a quantum computer. Laflamme showed that 5 qubits are necessary to correct a single error on a qubit. In a Pauli error model, four…

量子物理 · 物理学 2019-06-12 Ritajit Majumdar , Susmita Sur-Kolay

In order to solve problems of practical importance, quantum computers will likely need to incorporate quantum error correction, where a logical qubit is redundantly encoded in many noisy physical qubits. The large physical-qubit overhead…

量子物理 · 物理学 2025-03-25 Harald Putterman , Kyungjoo Noh , Connor T. Hann , Gregory S. MacCabe , Shahriar Aghaeimeibodi , Rishi N. Patel , Menyoung Lee , William M. Jones , Hesam Moradinejad , Roberto Rodriguez , Neha Mahuli , Jefferson Rose , John Clai Owens , Harry Levine , Emma Rosenfeld , Philip Reinhold , Lorenzo Moncelsi , Joshua Ari Alcid , Nasser Alidoust , Patricio Arrangoiz-Arriola , James Barnett , Przemyslaw Bienias , Hugh A. Carson , Cliff Chen , Li Chen , Harutiun Chinkezian , Eric M. Chisholm , Ming-Han Chou , Aashish Clerk , Andrew Clifford , R. Cosmic , Ana Valdes Curiel , Erik Davis , Laura DeLorenzo , J. Mitchell D'Ewart , Art Diky , Nathan D'Souza , Philipp T. Dumitrescu , Shmuel Eisenmann , Essam Elkhouly , Glen Evenbly , Michael T. Fang , Yawen Fang , Matthew J. Fling , Warren Fon , Gabriel Garcia , Alexey V. Gorshkov , Julia A. Grant , Mason J. Gray , Sebastian Grimberg , Arne L. Grimsmo , Arbel Haim , Justin Hand , Yuan He , Mike Hernandez , David Hover , Jimmy S. C. Hung , Matthew Hunt , Joe Iverson , Ignace Jarrige , Jean-Christophe Jaskula , Liang Jiang , Mahmoud Kalaee , Rassul Karabalin , Peter J. Karalekas , Andrew J. Keller , Amirhossein Khalajhedayati , Aleksander Kubica , Hanho Lee , Catherine Leroux , Simon Lieu , Victor Ly , Keven Villegas Madrigal , Guillaume Marcaud , Gavin McCabe , Cody Miles , Ashley Milsted , Joaquin Minguzzi , Anurag Mishra , Biswaroop Mukherjee , Mahdi Naghiloo , Eric Oblepias , Gerson Ortuno , Jason Pagdilao , Nicola Pancotti , Ashley Panduro , JP Paquette , Minje Park , Gregory A. Peairs , David Perello , Eric C. Peterson , Sophia Ponte , John Preskill , Johnson Qiao , Gil Refael , Rachel Resnick , Alex Retzker , Omar A. Reyna , Marc Runyan , Colm A. Ryan , Abdulrahman Sahmoud , Ernesto Sanchez , Rohan Sanil , Krishanu Sankar , Yuki Sato , Thomas Scaffidi , Salome Siavoshi , Prasahnt Sivarajah , Trenton Skogland , Chun-Ju Su , Loren J. Swenson , Stephanie M. Teo , Astrid Tomada , Giacomo Torlai , E. Alex Wollack , Yufeng Ye , Jessica A. Zerrudo , Kailing Zhang , Fernando G. S. L. Brandão , Matthew H. Matheny , Oskar Painter

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…

量子物理 · 物理学 2024-02-22 Avimita Chatterjee , Koustubh Phalak , Swaroop Ghosh

Quantum measurement has conventionally been regarded as the final step in quantum information processing, which is essential for reading out the processed information but collapses the quantum state into a classical state. However, recent…

量子物理 · 物理学 2024-02-02 Dongjin Lee , Beni Yoshida

Quantum error correction is crucial for protecting quantum information against decoherence. Traditional codes like the surface code require substantial overhead, making them impractical for near-term, early fault-tolerant devices. We…

量子物理 · 物理学 2026-04-13 Nico Meyer , Christopher Mutschler , Andreas Maier , Daniel D. Scherer

Quantum error correcting codes have been shown to have the ability of making quantum information resilient against noise. Here we show that we can use quantum error correcting codes as diagnostics to characterise noise. The experiment is…

量子物理 · 物理学 2009-11-13 M. Laforest , D. Simon , J. -C. Boileau , J. Baugh , M. Ditty , R. Laflamme

We analyze simple quantum error detection and quantum error correction protocols relevant to current experiments with superconducting qubits. We show that for qubits with energy relaxation the repetitive N-qubit codes cannot be used for…

量子物理 · 物理学 2015-06-05 Kyle Keane , Alexander N. Korotkov

Robust quantum computation requires encoding delicate quantum information into degrees of freedom that are hard for the environment to change. Quantum encodings have been demonstrated in many physical systems by observing and correcting…

量子物理 · 物理学 2017-11-08 Maika Takita , Andrew W. Cross , A. D. Córcoles , Jerry M. Chow , Jay M. Gambetta

I describe a method for pasting together certain quantum error-correcting codes that correct one error to make a single larger one-error quantum code. I show how to construct codes encoding 7 qubits in 13 qubits using the method, as well as…

量子物理 · 物理学 2007-05-23 Daniel Gottesman

Quantum error-correcting codes will be the ultimate enabler of a future quantum computing or quantum communication device. This theory forms the cornerstone of practical quantum information theory. We provide several contributions to the…

量子物理 · 物理学 2011-08-29 Mark M. Wilde

Quantum error correction is a critical technique for transitioning from noisy intermediate-scale quantum (NISQ) devices to fully fledged quantum computers. The surface code, which has a high threshold error rate, is the leading quantum…

When sending quantum information over a channel, we want to ensure that the message remains intact. Quantum error correction and quantum authentication both aim to protect (quantum) information, but approach this task from two very…

量子物理 · 物理学 2022-11-18 Yfke Dulek , Garazi Muguruza , Florian Speelman