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Live trends in quantum computing research, updated daily from arXiv.
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A Quantum Computer Amenable Sparse Matrix Equation Solver
Christopher D. Phillips, V. H. U. O. Manitoba, Winnipeg +1 more·Dec 5, 2021
—Quantum computation offers a promising alterna- tive to classical computing methods in many areas of numerical science, with algorithms that make use of the unique way in which quantum computers store and manipulate data often achieving dramatic imp...
Topological graph states and quantum error-correction codes
Pengcheng Liao, B. Sanders, D. Feder·Dec 5, 2021
Deciding if a given family of quantum states is topologically ordered is an important but nontrivial problem in condensed matter physics and quantum information theory. We derive necessary and sufficient conditions for a family of graph states to be in...
Quantum Simulations of Loop Quantum Gravity
S. Shah·Dec 4, 2021
Loop Quantum Gravity (LQG) is one of the leading approaches to unify quantum physics and General Relativity (GR). The Hilbert space of LQG is spanned by spin-networks which describe the local geometry of quantum space-time. Simulation of LQG spin-net...
Markov chain Monte Carlo enhanced variational quantum algorithms
T. Patti, Omar Shehab, K. Najafi +1 more·Dec 3, 2021
Variational quantum algorithms have the potential for significant impact on high-dimensional optimization, with applications in classical combinatorics, quantum chemistry, and condensed matter. Nevertheless, the optimization landscape of these algori...
Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage
Xun Gao, M. Kalinowski, Chi-Ning Chou +3 more·Dec 3, 2021
Demonstrating quantum advantage requires experimental implementation of a computational task that is hard to achieve using state-of-the-art classical systems. One approach is to perform sampling from a probability distribution associated with a class...
Computing the quantumguesswork: a quadratic assignment problem
M. Dall’Arno, Francesco Buscemi, Takeshi Koshiba·Dec 3, 2021
The quantum guesswork quantifies the minimum number of queries needed to guess the state of a quantum ensemble if one is allowed to query only one state at a time. Previous approaches to the computation of the guesswork were based on standard semi-de...
Nonlinear quantum error correction
M. Reichert, Louis Tessler, M. Bergmann +2 more·Dec 3, 2021
We introduce a theory of quantum error correction (QEC) for a subclass of states within a larger Hilbert space. In the standard theory of QEC, the set of all encoded states is formed by an arbitrary linear combination of the codewords. However, this ...
Prediction and compression of lattice QCD data using machine learning algorithms on quantum annealer
B. Yoon, Chia-Cheng Chang, Garrett T. Kenyon +2 more·Dec 3, 2021
We present regression and compression algorithms for lattice QCD data utilizing the efficient binary optimization ability of quantum annealers. In the regression algorithm, we encode the correlation between the input and output variables into a spars...
Quantum algorithm for solving a quadratic nonlinear system of equations
Cheng Xue, Xiao-fan Xu, Yuchun Wu +1 more·Dec 3, 2021
Solving a quadratic nonlinear system of equations (QNSE) is a fundamental, but important, task in nonlinear science. We propose an efficient quantum algorithm for solving $n$-dimensional QNSE. Our algorithm embeds QNSE into a finite-dimensional syste...
Efficient Universal Quantum Compilation: An Inverse-free Solovay-Kitaev Algorithm
Adam Bouland, Tudor Giurgică-Tiron·Dec 3, 2021
The Solovay-Kitaev algorithm is a fundamental result in quantum computation. It gives an algorithm for efficiently compiling arbitrary unitaries using universal gate sets: any unitary can be approximated by short gates sequences, whose length scales ...
Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer
Stasja Stanisic, J. Bosse, F. M. Gambetta +5 more·Dec 3, 2021
The famous, yet unsolved, Fermi-Hubbard model for strongly-correlated electronic systems is a prominent target for quantum computers. However, accurately representing the Fermi-Hubbard ground state for large instances may be beyond the reach of near-...
A quantum approach to the discretizable molecular distance geometry problem
C. Lavor, F. Marquezino, A. Oliveira +1 more·Dec 2, 2021
The Discretizable Molecular Distance Geometry Problem (DMDGP) aims to determine the three-dimensional protein structure using distance information from nuclear magnetic resonance experiments. The DMDGP has a finite number of candidate solutions and c...
Optimizing frequency allocation for fixed-frequency superconducting quantum processors
A. Morvan, Larry Chen, Jeffrey Larson +2 more·Dec 2, 2021
Fixed-frequency superconducting quantum processors are one of the most mature quantum computing architectures with high-coherence qubits and simple controls. However, high-fidelity multiqubit gates pose tight requirements on individual qubit frequenci...
Near-Optimal Covariant Quantum Error-Correcting Codes from Random Unitaries with Symmetries
Linghang Kong, Zi-Wen Liu·Dec 2, 2021
Quantum error correction and symmetries play central roles in quantum information science and physics. It is known that quantum error-correcting codes that obey (are covariant with respect to) continuous symmetries in a certain sense cannot correct e...
Morphing Quantum Codes
M. Vasmer, Aleksander Kubica·Dec 2, 2021
We introduce a morphing procedure that can be used to generate new quantum codes from existing quantum codes. In particular, we morph the 15-qubit Reed-Muller code to obtain a $[\![10,1,2]\!]$ code that is the smallest known stabilizer code with a fa...
Analysis of loss correction with the Gottesman-Kitaev-Preskill code
Jacob Hastrup, U. Andersen·Dec 2, 2021
The Gottesman-Kitaev-Preskill (GKP) code is a promising bosonic quantum error-correcting code, encoding logical qubits into a bosonic mode in such a way that many physically relevant noise types can be corrected effectively. A particularly relevant n...
Robust Quantum Control using Hybrid Pulse Engineering
M. H. Ram, V. Krithika, Priyanka Batra +1 more·Dec 2, 2021
The development of efficient algorithms that generate robust quantum controls is crucial for the realization of quantum technologies. The commonly used gradient-based optimization algorithms are limited by their sensitivity to the initial guess, whic...
Measurement Crosstalk Errors in Cloud-Based Quantum Computing
Seungchan Seo, J. Bae·Dec 2, 2021
Quantum technologies available currently contain noise in general, often dubbed noisy intermediate-scale quantum systems. We here present the verification of noise in measurement readout errors in cloud-based quantum computing services, IBMQ and Rige...
Best-Practice Aspects of Quantum-Computer Calculations: A Case Study of the Hydrogen Molecule
Ivana Miháliková, M. Friák, Matej Pivoluska +3 more·Dec 2, 2021
Quantum computers are reaching one crucial milestone after another. Motivated by their progress in quantum chemistry, we performed an extensive series of simulations of quantum-computer runs that were aimed at inspecting the best-practice aspects of ...
Near-Optimal Lower Bounds For Convex Optimization For All Orders of Smoothness
A. Garg, Robin Kothari, Praneeth Netrapalli +1 more·Dec 2, 2021
We study the complexity of optimizing highly smooth convex functions. For a positive integer p, we want to find an -approximate minimum of a convex function f , given oracle access to the function and its first p derivatives, assuming that the pth de...