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We show that every correctable subsystem for an arbitrary noise operation can be recovered by a unitary operation, where the notion of recovery is more relaxed than the notion of correction insofar as it does not protect the subsystem from…

Quantum Physics · Physics 2007-05-23 David W. Kribs , Robert W. Spekkens

Variational algorithms may enable classically intractable simulations on near-future quantum computers. However, their potential is limited by hardware errors. It is therefore crucial to develop efficient ways to mitigate these errors.…

Quantum Physics · Physics 2019-05-29 Sam McArdle , Xiao Yuan , Simon Benjamin

When a computational task tolerates a relaxation of its specification or when an algorithm tolerates the effects of noise in its execution, hardware, programming languages, and system software can trade deviations from correct behavior for…

In-memory deep learning computes neural network models where they are stored, thus avoiding long distance communication between memory and computation units, resulting in considerable savings in energy and time. In-memory deep learning has…

Machine Learning · Computer Science 2021-12-02 Zhehui Wang , Tao Luo , Rick Siow Mong Goh , Wei Zhang , Weng-Fai Wong

Quantum error mitigation, a data processing technique for recovering the statistics of target processes from their noisy version, is a crucial task for near-term quantum technologies. Most existing methods require prior knowledge of the…

Quantum Physics · Physics 2025-04-04 Manwen Liao , Yan Zhu , Giulio Chiribella , Yuxiang Yang

HPC systems are a critical resource for scientific research. The increased demand for computational power and memory ushers in the exascale era, in which supercomputers are designed to provide enormous computing power to meet these needs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-11 Yehonatan Fridman , Yaniv Snir , Harel Levin , Danny Hendler , Hagit Attiya , Gal Oren

As CMOS scaling reaches its technological limits, a radical departure from traditional von Neumann systems, which involve separate processing and memory units, is needed in order to significantly extend the performance of today's computers.…

Active stabilisation of a quantum system is the active suppression of noise (such as decoherence) in the system, without disrupting its unitary evolution. Quantum error correction suggests the possibility of achieving this, but only if the…

Quantum Physics · Physics 2009-01-23 Andrew Steane

It has been an open question in deep learning if fault-tolerant computation is possible: can arbitrarily reliable computation be achieved using only unreliable neurons? In the grid cells of the mammalian cortex, analog error correction…

Machine Learning · Computer Science 2025-03-26 Alexander Zlokapa , Andrew K. Tan , John M. Martyn , Ila R. Fiete , Max Tegmark , Isaac L. Chuang

Operator quantum error correction provides a unified framework for the known techniques of quantum error correction such as the standard error correction model, the method of decoherence-free subspaces, and the noiseless subsystem method.…

Quantum Physics · Physics 2014-04-25 Ri Qu , Bing-jian Shang , Yan-ru Bao , Yi-ping Ma

Quantum error correction holds the key to scaling up quantum computers. Cosmic ray events severely impact the operation of a quantum computer by causing chip-level catastrophic errors, essentially erasing the information encoded in a chip.…

Quantum computation and communication rely on the ability to manipulate quantum states robustly and with high fidelity. Thus, some form of error correction is needed to protect fragile quantum superposition states from corruption by…

Nanoelectromechanical systems (NEMS) are devices integrating electrical and mechanical functionality on the nanoscale. Because of individual electron tunneling, such systems can show rich self-induced, highly non-linear dynamics. We show…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Christopher W. Wächtler , Alan Celestino , Alexander Croy , Alexander Eisfeld

Quantum error correction is capable of digitizing quantum noise and increasing the robustness of qubits. Typically, error correction is designed with the target of eliminating all errors - making an error so unlikely it can be assumed that…

Quantum Physics · Physics 2022-05-20 Salonik Resch , Ulya R. Karpuzcu

A long-standing challenge in quantum computing is developing technologies to overcome the inevitable noise in qubits. To enable meaningful applications in the early stages of fault-tolerant quantum computing, devising methods to suppress…

The growing demand for edge computing and AI drives research into analog in-memory computing using memristors, which overcome data movement bottlenecks by computing directly within memory. However, device failures and variations critically…

Emerging Technologies · Computer Science 2025-07-16 Zhicheng Xu , Jiawei Liu , Sitao Huang , Zefan Li , Shengbo Wang , Bo Wen , Ruibin Mao , Mingrui Jiang , Giacomo Pedretti , Jim Ignowski , Kaibin Huang , Can Li

Error mitigation has been one of the recently sought after methods to reduce the effects of noise when computation is performed on a noisy near-term quantum computer. Interest in simulating stochastic processes with quantum models gained…

Quantum Physics · Physics 2021-10-19 Matthew Ho , Ryuji Takagi , Mile Gu

Noisy intermediate-scale quantum (NISQ) devices are spearheading the second quantum revolution. Of these, quantum annealers are the only ones currently offering real world, commercial applications on as many as 5000 qubits. The size of…

Today, Neural Networks are the basis of breakthroughs in virtually every technical domain. Their application to accelerators has recently resulted in better performance and efficiency in these systems. At the same time, the increasing…

Machine Learning · Computer Science 2021-12-07 Jashanpreet Singh Sraw , Deepak M C

Neural Networks are currently one of the most widely deployed machine learning algorithms. In particular, Convolutional Neural Networks (CNNs), are gaining popularity and are evaluated for deployment in safety critical applications such as…

Signal Processing · Electrical Eng. & Systems 2019-12-17 Giulio Gambardella , Johannes Kappauf , Michaela Blott , Christoph Doehring , Martin Kumm , Peter Zipf , Kees Vissers