Search · four archives
Search · four archives
23 papers · ranked by Valyu relevance
Sergey Bravyi, Andrew W. Cross, Jay M. Gambetta, Dmitri Maslov + 2 more
'Patrick Rall' 'Theodore J. Yoder'] The accumulation of physical errors1-3 prevents the execution of large-scale algorithms in current quantum computers. Quantum error correction4 promises a solution by encoding k logical qubits onto a larger number n of physical qubits, such that the physical errors are suppressed…
Todd A. Brun
Quantum error correction is a set of methods to protect quantum information—that is, quantum states—from unwanted environmental interactions (decoherence) and other forms of noise. The information is stored in a quantum error-correcting code, which is a subspace in a larger Hilbert space. This code is designed so that…
Othman O. Khalifa, Nur Amirah bt Sharif, Rashid A Saeed, S. Abdel-Khalek + 2 more
'S. Abdel-Khalek' 'Abdulaziz N. Alharbi' 'Ali A. Alkathiri'] Quantum computing is a computer development technology that uses quantum mechanics to perform the operations of data and information. It is an advanced technology, yet the quantum channel is used to transmit the quantum information which is sensitive to the…
Muhammad Annas Khan, Salman Ghafoor, Syed Mohammad Hassan Zaidi, Haibat Khan + 1 more
'Haibat Khan' 'Arsalan Ahmad'] In the aftermath of unparalleled disruptive technologies, the quantum realm has become a fundamental field of research due to unrivaled computational power and super-secure communication. In addition to conventional networks, a new word in the quantum domain is quantum network. The…
Avimita Chatterjee, Swaroop Ghosh
Codes, Overall ? Authors: ['Avimita Chatterjee' 'Swaroop Ghosh'] Abstract—Quantum Error Correction Codes (QECCs) are pivotal in advancing quantum computing by protecting quantum states against the adverse effects of noise and errors. With a variety of QECCs developed, including new developments and modifications of…
Dongxiao Quan, Chensong Liu, Xiaojie Lv, Changxing Pei + 1 more
Quantum error correction (QEC) is an effective way to overcome quantum noise and de-coherence, meanwhile the fault tolerance of the encoding circuit, syndrome measurement circuit, and logical gate realization circuit must be ensured so as to achieve reliable quantum computing. Steane code is one of the most famous…
Nitin Jha, Abhishek Parakh, Mahadevan Subramaniam
Secure quantum networks are a bedrock requirement for developing a future quantum internet. However, quantum channels are susceptible to channel noise that introduce errors in the transmitted data. The traditional approach to providing error correction typically encapsulates the message in an error correction code…
Umesh Uttamrao Shinde, Ravikumar Bandaru
The error correction model’s main purpose in heavy hexagonal quantum codes is to improve their reliability for quantum computing applications. Existing challenges include finding the optimal decoder for quantum error correction in heavy hexagonal codes. This research propels the frontier of quantum error correction…
Zitong Diao, Jie Tang, Zhaoqi Lei, Huicun Yu + 6 more
Quantum dense coding could be used to transmit two classical bits with one qubit when a maximally entangled state is shared. In realistic channels, entanglement degradation reduces the channel capacity, while bit-flip noise increases decoding errors. To address these issues, we propose a novel probabilistic controlled…
Jihao Fan, Min-Hsiu Hsieh, Hanwu Chen, He Chen + 1 more
—In practical communication and computation systems, errors occur predominantly in adjacent positions rather than in a random manner. In this paper, we develop a stabilizer formalism for quantum burst error correction codes (QBECC) to combat such error patterns in the quantum regime. Our contributions are as follows.…
Diogo Cruz, Francisco A. Monteiro, Bruno Coutinho
—Quantum error correction codes (QECCs) play a central role in both quantum communications and quantum computation. Practical quantum error correction codes, such as stabilizer codes, are generally structured to suit a specific use, and present rigid code lengths and code rates. This paper shows that it is possible to…
Yuxiang Yang, Yin Mo, Joseph M. Renes, Giulio Chiribella + 1 more
'Mischa P. Woods'] Error correcting codes with a universal set of transversal gates are a desideratum for quantum computing. Such codes, however, are ruled out by the Eastin-Knill theorem. Moreover, the theorem also rules out codes which are covariant with respect to the action of transversal unitary operations forming…
Authors not listed
This work provides a rigorous theoretical investigation of selective error correction strategies for variational quantum algorithms, with focus on understanding the interplay between error suppression, circuit trainability, and computational resource requirements. We develop a mathematical framework that characterizes…
Ze-Chuan Liu, Chong-Yuan Xu, Yong Xu
Quantum low-density parity-check (qLDPC) codes are promising candidates for fault-tolerant quantum computation due to their high encoding rates and distances. However, implementing logical operations using qLDPC codes presents significant challenges. Previous research has demonstrated that self-dual qLDPC codes…
Caio Barros, Francisco de Assis, H. M. de Oliveira
The quantum error correction theory is as a rule formulated in a rather convoluted way, in comparison to classical algebraic theory. This work revisits the error correction in a noisy quantum channel so as to make it intelligible to engineers. An illustrative example is presented of a naïve perfect quantum code…
Authors not listed
This paper develops a comprehensive theoretical framework for designing quantum memory systems with enhanced resilience to thermal decoherence through engineered lattice geometries and protective structures. We formulate a unified mathematical description connecting material properties, geometric configurations, and…
Edward Otieno, Katarzyna Matczyszyn, Nelson Mokaya
Quantum computing promises exponential advances in information processing, necessitating the development of appropriate materials for implementing quantum qubits and gates. Liquid crystals, known for their electro-optical characteristics and use in displays, have recently received attention as prospective candidates…
Mårten Skogh, Phalgun Lolur, Werner Dobrautz, Christopher Warren + 5 more
There is currently no combination of quantum hardware and algorithms that can provide an advantage over conventional calculations of molecules or materials. However, if or when such a point is reached, new strategies will be needed to verify predictions made using quantum devices. We propose that the electron density…
Patrícia Verdugo Pascoal, Deborah Bambil, Rayane N. Lima, Marco Antônio de Oliveira + 3 more
Quantum biology is an emergent field that investigates quantum-mechanical phenomena, such as superposition, tunneling, and entanglement, in the context of data manipulation from living systems. The exploration and engineering of nucleotide sequences rely on quantum mechanical principles, particularly the use of qubit…
Authors not listed
One of the main applications for which quantum computers are hoped to find utility is in simulating ground state energies and other observables of molecular chemical systems. The recently proposed sample-based diagonalization method is a readily implementable method for this task on current-day hardware using short…
Andreas L. Gimpel, Wendelin J. Stark, Reinhard Heckel, Robert N. Grass
Efficient error-correction codes are crucial for realizing DNA’s potential as a long-lasting, high-density storage medium for digital data. At the same time, new workflows promising low-cost, resilient DNA data storage are challenging their design and error-correcting capabilities. This study characterizes the errors…
Authors not listed
The Hidden Subgroup Problem (HSP) unifies several landmark quantum algorithms, yet systematic exploration of its variants and modern applications has slowed. This paper revives HSP-based algorithm design by examining new group structures with direct relevance to post-quantum cryptography, lattice problems, and…
Ian Holmes
We describe a strategy for constructing codes for DNA-based information storage by serial composition of weighted finite-state transducers. The resulting state machines can integrate correction of substitution errors; synchronization by interleaving watermark and periodic marker signals; conversion from binary to…