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We contribute to an uncertainty quantification problem in imaging that evaluates a hypothesis test questioning the existence of local "artefacts" appearing in the maximum a posteriori (MAP) estimate (obtained from standard numerical tools).…

Methodology · Statistics 2026-05-08 Xiaoyu Wang , Michael Tang , Audrey Repetti

Solving differential equations is one of the most promising applications of quantum computing. Recently we proposed an efficient quantum algorithm for solving one-dimensional Poisson equation avoiding the need to perform quantum arithmetic…

We propose network benchmarking: a procedure to efficiently benchmark the quality of a quantum network link connecting quantum processors in a quantum network. This procedure is based on the standard randomized benchmarking protocol and…

Quantum Physics · Physics 2021-03-02 Jonas Helsen , Stephanie Wehner

We introduce here a supervised quantum machine learning algorithm for multi-class classification on NISQ architectures. A parametric quantum circuit is trained to output a specific bit string corresponding to the class of the input…

Quantum Physics · Physics 2020-07-29 William Cappelletti , Rebecca Erbanni , Joaquín Keller

To execute quantum circuits on a quantum processor, they must be modified to meet the physical constraints of the quantum device. This process, called quantum circuit mapping, results in a gate/circuit depth overhead that depends on both…

Quantum Physics · Physics 2024-01-10 Medina Bandić , Carmen G. Almudever , Sebastian Feld

Scalable quantum computing requires architectural solutions beyond monolithic processors. Distributed quantum computing (DQC) addresses this challenge by interconnecting smaller quantum nodes through quantum communication protocols,…

For typical quantum subroutines in the gate-based model of quantum computing, explicit decompositions of circuits in terms of single-qubit and two-qubit entangling gates may exist. However, they often lead to large-depth circuits that are…

Quantum Physics · Physics 2024-09-20 Dhruv Srinivasan , Kushal Chakrabarti , Nikhil Chopra , Avik Dutt

Demonstrating quantum advantage using conventional quantum algorithms remains challenging on current noisy gate-based quantum computers. Automated quantum circuit synthesis via quantum machine learning has emerged as a promising solution,…

Quantum Physics · Physics 2025-04-14 Shubing Xie , Aritra Sarkar , Sebastian Feld

Variational quantum algorithms (VQAs) offer the most promising path to obtaining quantum advantages via noisy intermediate-scale quantum (NISQ) processors. Such systems leverage classical optimization to tune the parameters of a…

Quantum Physics · Physics 2022-09-26 Sharu Theresa Jose , Osvaldo Simeone

In recent years, binary quadratic programming (BQP) has been successively applied to solve several combinatorial optimization problems. We consider in this paper a study of using the BQP model to solve the minimum sum coloring problem…

Data Structures and Algorithms · Computer Science 2013-04-23 Yang Wang , Jin-Kao Hao , Fred Glover , Zhipeng Lü

Large language model inference is often bounded by memory footprint and bandwidth in resource-constrained deployments, making quantization fundamental to efficient serving. While post-training quantization (PTQ) maintains high fidelity at…

We discuss and analyze a list-message-passing decoder with verification for low-density parity-check (LDPC) codes on the q-ary symmetric channel (q-SC). Rather than passing messages consisting of symbol probabilities, this decoder passes…

Information Theory · Computer Science 2015-03-13 Fan Zhang , Henry D. Pfister

Quantum computing promises breakthroughs in simulating and solving complex, classically intractable problems. However, current noisy intermediate-scale quantum (NISQ) devices are relatively small and error-prone, prohibiting large-scale…

Quantum Physics · Physics 2026-03-24 Gary J Mooney

Quantum error correction, which utilizes logical qubits that are encoded as redundant multiple physical qubits to find and correct errors in physical qubits, is indispensable for practical quantum computing. Surface code is considered to be…

Machine Learning · Computer Science 2025-09-15 Hoshitaro Ohnishi , Hideo Mukai

Current quantum simulators are primarily qubit-based, making them naturally suitable for simulating 2-level quantum systems. However, many systems in nature are inherently $d$-level, including higher spins, bosons, vibrational modes, and…

Quantum Physics · Physics 2024-06-26 Chufan Lyu , Zuoheng Zou , Xusheng Xu , Man-Hong Yung , Abolfazl Bayat

We propose a quantum algorithm to solve systems of nonlinear differential equations. Using a quantum feature map encoding, we define functions as expectation values of parametrized quantum circuits. We use automatic differentiation to…

Quantum Physics · Physics 2021-05-20 Oleksandr Kyriienko , Annie E. Paine , Vincent E. Elfving

Quantum computers require error correction to achieve universal quantum computing. However, current decoding of quantum error-correcting codes relies on classical computation, which is slower than quantum operations in superconducting…

Quantum Physics · Physics 2025-06-11 Pan Zhang

Randomized benchmarking is a powerful technique to efficiently estimate the performance and reliability of quantum gates, circuits and devices. Here we propose to perform randomized benchmarking in a coherent way, where superpositions of…

Quantum Physics · Physics 2021-07-14 Jorge Miguel-Ramiro , Alexander Pirker , Wolfgang Dür

We present benchmarks of the parity transformation for the Quantum Approximate Optimization Algorithm (QAOA). We analyse the gate resources required to implement a single QAOA cycle for real-world scenarios. In particular, we consider…

Quantum Physics · Physics 2023-03-20 Michael Fellner , Kilian Ender , Roeland ter Hoeven , Wolfgang Lechner

We investigate an efficient, generic method for evaluating the performance of quantum annealing devices that does not require the prior knowledge of the true ground state of the benchmark problem. This approach exploits symmetry properties…

Quantum Physics · Physics 2022-01-06 Dilina Perera , Bhavika Bhalgamiya , M. A. Novotny