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There is no unique way to encode a quantum algorithm into a quantum circuit. With limited qubit counts, connectivities, and coherence times, circuit optimization is essential to make the best use of near-term quantum devices. We introduce…

We consider the problem of efficiently enumerating the satisfying assignments to $\AC^0$ circuits. We give a zero-error randomized algorithm which takes an $\AC^0$ circuit as input and constructs a set of restrictions which partition…

Computational Complexity · Computer Science 2015-03-19 Russell Impagliazzo , William Matthews , Ramamohan Paturi

We optimize fault-tolerant quantum error correction to reduce the number of syndrome bit measurements. Speeding up error correction will also speed up an encoded quantum computation, and should reduce its effective error rate. We give both…

Quantum Physics · Physics 2020-08-13 Nicolas Delfosse , Ben W. Reichardt

We propose a sequential minimal optimization method for quantum-classical hybrid algorithms, which converges faster, is robust against statistical error, and is hyperparameter-free. Specifically, the optimization problem of the…

Quantum Physics · Physics 2020-11-04 Ken M. Nakanishi , Keisuke Fujii , Synge Todo

A family of variable stage size multistage tests of simple hypotheses is described, based on efficient multistage sampling procedures. Using a loss function that is a linear combination of sampling costs and error probabilities, these tests…

Statistics Theory · Mathematics 2009-09-29 Jay Bartroff

Randomized compiling (RC) is an efficient method for tailoring arbitrary Markovian errors into stochastic Pauli channels. However, the standard procedure for implementing the protocol in software comes with a large experimental overhead --…

Estimating spectral gaps of quantum many-body Hamiltonians is a highly challenging computational task, even under assumptions of locality and translation-invariance. Yet, the quest for rigorous gap certificates is motivated by their broad…

Quantum Physics · Physics 2026-04-15 Kshiti Sneh Rai , Ilya Kull , Patrick Emonts , Jordi Tura , Norbert Schuch , Flavio Baccari

We study the problem of constructing cycle bases of graphs with low maximum edge participation, defined as the maximum number of basis cycles that share any single edge. This quantity, though less studied than total weight or length, plays…

Data Structures and Algorithms · Computer Science 2025-11-17 Fan Wang , Sandy Irani

Finding and fixing bugs are time-consuming activities in software development. Spectrum-based fault localization aims to identify the faulty position in source code based on the execution trace of test cases. Failing test cases and their…

Software Engineering · Computer Science 2018-07-06 Jifeng Xuan , Martin Monperrus

In-field test of processor-based devices is a must when considering safety-critical systems (e.g., in robotics, aerospace, and automotive applications). During in-field testing, different solutions can be adopted, depending on the specific…

Hardware Architecture · Computer Science 2021-09-09 Juan-David Guerrero-Balaguera , Josie E. Rodriguez Condia , Matteo Sonza Reorda

Group testing is an efficient method for testing a large population to detect infected individuals. In this paper, we consider an efficient adaptive two stage group testing scheme. Using a straightforward analysis, we characterize the…

Methodology · Statistics 2020-08-26 Arjun Kodialam

Quantum computing has garnered attention for its potential to solve complex computational problems with considerable speedup. Despite notable advancements in the field, achieving meaningful scalability and noise control in quantum hardware…

Quantum Physics · Physics 2025-05-12 Eduardo Willwock Lussi , Rafael de Santiago , Eduardo Inacio Duzzioni

This paper presents a heuristic approach for solving the placement of Analog and Mixed-Signal Integrated Circuits. Placement is a crucial step in the physical design of integrated circuits. During this step, designers choose the position…

Neural and Evolutionary Computing · Computer Science 2024-11-14 Josef Grus , Zdeněk Hanzálek

Evaluating Software testability can assist software managers in optimizing testing budgets and identifying opportunities for refactoring. In this paper, we abandon the traditional approach of pursuing testability measurements based on the…

Software Engineering · Computer Science 2021-02-23 Luca Guglielmo , Andrea Riboni , Giovanni Denaro

Fair algorithm evaluation is conditioned on the existence of high-quality benchmark datasets that are non-redundant and are representative of typical optimization scenarios. In this paper, we evaluate three heuristics for selecting diverse…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Gjorgjina Cenikj , Ryan Dieter Lang , Andries Petrus Engelbrecht , Carola Doerr , Peter Korošec , Tome Eftimov

In stochastic computing (SC), a real-valued number is represented by a stochastic bit stream, encoding its value in the probability of obtaining a one. This leads to a significantly lower hardware effort for various functions and provides a…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Michael Lunglmayr , Daniel Wiesinger , Werner Haselmayr

Totally self-checking (TSC) circuits are synthesised with a grid of computers running a distributed population based stochastic optimisation algorithm. The presented method is the first to automatically synthesise TSC circuits from…

Artificial Intelligence · Computer Science 2019-01-23 Michael Garvie , Phil Husbands

Peaked quantum circuits, whose output distribution is sharply concentrated on a single bitstring, have emerged as a promising candidate for verifiable quantum advantage, as the correctness of the quantum output can be checked by simply…

Quantum Physics · Physics 2026-04-24 David Kremer , Nicolas Dupuis

To employ a quantum device, the performance of the quantum gates in the device needs to be evaluated first. Since the dimensionality of a quantum gate grows exponentially with the number of qubits, evaluating the performance of a quantum…

Quantum Physics · Physics 2022-02-14 Maolin Luo , Xiaoqian Zhang , Xiaoqi Zhou

The use of group testing to locate all instances of disease in a large population of blood samples was first considered seventy years ago. Since then, several methods have been used to approximate the minimum expected number of tests. The…

Applications · Statistics 2015-03-24 Seth Zimmerman