Search · four archives
Search · four archives
23 papers · ranked by Valyu relevance
Marios H. Michael, Matti Silveri, Richard Brierley, Victor V. Albert + 3 more
'J. Salmilehto' 'Liang Jiang' 'S. M. Girvin'] We construct a new class of quantum error-correcting codes for a bosonic mode which are advantageous for applications in quantum memories, communication, and scalable computation. These 'binomial quantum codes' are formed from a finite superposition of Fock states weighted…
Barbara M. Terhal
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 stabilizer and subsystem stabilizer codes and their possible use in protecting quantum…
Carlo Cafaro, Peter van Loock
It is well-established that the notion of entropy plays a key role in the foundations of quantum theory [1–6] whose statistical nature is evident when dealing with incomplete information gathered in quantum measurements. Incomplete information refers to the fact that in quantum physics, as opposed to classical physics…
Guoding Liu, Zhenyu Du, Zi-Wen Liu, Xiongfeng Ma
Efficient and high-performance quantum error correction is essential for achieving fault-tolerant quantum computing. Low-depth random circuits offer a promising approach to identifying effective and practical encoding strategies. In this work, we construct quantum error-correcting codes based on one-dimensional…
Amara Katabarwa, Michael R. Geller
The performance of error correction protocols are necessary for understanding the operation of potential quantum computers, but this requires physical error models that can be simulated efficiently with classical computers. The Gottesmann-Knill theorem guarantees a class of such error models. Of these, one of the…
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…
Nick S. Blunt, Joan Camps, Ophelia Crawford, Róbert Izsák + 8 more
the Current State-of-the-Art of Quantum Computing for Drug Discovery Applications Authors: ['Nick S. Blunt' 'Joan Camps' 'Ophelia Crawford' 'Róbert Izsák' 'Sebastian Leontica' 'Arjun Mirani' 'Alexandra E. Moylett' 'Sam A. Scivier' 'Christoph Sünderhauf' 'Patrick Schopf' 'Jacob M. Taylor' 'Nicole Holzmann']…
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…
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…
M. I. Dyakonov
The hopes for scalable quantum computing rely on the "threshold theorem": once the error per qubit per gate is below a certain value, the methods of quantum error correction allow indefinitely long quantum computations. The proof is based on a number of assumptions, which are supposed to be satisfied exactly, like…
Rajni Bala, Sooryansh Asthana, V. Ravishankar
Near-term quantum communication protocols suffer inevitably from channel noises, whose alleviation has been mostly attempted with resources such as multiparty entanglement or sophisticated experimental techniques. Generation of multiparty higher dimensional entanglement is not easy. This calls for exploring realistic…
Yihui Quek, Daniel Stilck França, Sumeet Khatri, Johannes Jakob Meyer + 1 more
Quantum error mitigation has been proposed as a means to combat unwanted and unavoidable errors in near-term quantum computing without the heavy resource overheads required by fault-tolerant schemes. Recently, error mitigation has been successfully applied to reduce noise in near-term applications. In this work…
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…
Ali Shaib, Mohamad Hussein Naim, Mohammed E. Fouda, Rouwaida Kanj + 1 more
'Fadi Kurdahi'] Quantum computers have enabled solving problems beyond the current machines’ capabilities. However, this requires handling noise arising from unwanted interactions in these systems. Several protocols have been proposed to address efficient and accurate quantum noise profiling and mitigation. In this…
Mostafizur Rahaman Laskar, Atanu Bhattacharya, Kalyan Dasgputa
This study introduces a conceptually novel polynomial encoding algorithm for simulating potential energy operators encoded in diagonal unitary forms in a quantum computing machine. The current trend in quantum computational chemistry is effective experimentation to achieve high-precision quantum computational…
Christophe Piveteau, David Sutter, Sergey Bravyi, Jay Gambetta + 1 more
'Kristan Temme'] The Eastin-Knill theorem states that no quantum error correcting code can have a universal set of transversal gates. For CSS codes that can implement Clifford gates transversally it suffices to provide one additional non-Clifford gate, such as the T-gate, to achieve universality. Common methods to…
S. M. Girvin
These lecture notes from the 2019 Les Houches Summer School on 'Quantum Information Machines' are intended to provide an introduction to classical and quantum error correction with bits and qubits, and with continuous variable systems (harmonic oscillators). The focus on the latter will be on practical examples that…
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…
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…
Namasi G Sankar, Georgios Miliotis, Simon Caton
Genome assembly is important in infectious disease surveillance, antimicrobial resistance monitoring, and cancer genomics. The task of reconstructing full genomic sequences from fragmented reads, can be framed as a large scale combinatorial optimisation problem. Recent advances in quantum computing have introduced new…
Xianghai Sheng, Lee Thompson, Hrant Hratchian
This work evaluates the quality of exchange coupling constant and spin crossover gap calculations using density functional theory corrected by the Approximate Projection model. Results show that improvements using the Approximate Projection model range from modest to significant. This study demonstrates that, at least…
Jing-Kai Fang, Yue-Feng Lin, Jun-Han Huang, Yibo Chen + 9 more
Computational biology holds immense promise as a domain that can leverage quantum advantages due to its involvement in a wide range of challenging computational tasks. Researchers have recently explored the applications of quantum computing in genome assembly implementation. However, the issue of repetitive sequences…
Authors not listed
Strong coupling and environmental memory render many open quantum systems intractable to classical computation. To overcome this barrier, we present a variational quantum algorithm capable of solving generalized form time-local quantum master equations directly on Noisy Intermediate-Scale Quantum (NISQ) processors. Our…