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Probabilistic graphical models such as Bayesian networks are widely used to model stochastic systems to perform various types of analysis such as probabilistic prediction, risk analysis, and system health monitoring, which can become…

Parameterized quantum circuits can be used as quantum neural networks and have the potential to outperform their classical counterparts when trained for addressing learning problems. To date, much of the results on their performance on…

Quantum Physics · Physics 2023-04-13 Junyu Liu , Khadijeh Najafi , Kunal Sharma , Francesco Tacchino , Liang Jiang , Antonio Mezzacapo

A fundamental challenge in probabilistic modeling is to balance expressivity and inference efficiency. Tractable probabilistic models (TPMs) aim to directly address this tradeoff by imposing constraints that guarantee efficient inference of…

Artificial Intelligence · Computer Science 2025-10-28 John Leland , YooJung Choi

This paper presents a strategy for efficient quantum circuit design for density estimation. The strategy is based on a quantum-inspired algorithm for density estimation and a circuit optimisation routine based on memetic algorithms. The…

The inherent noise and complexity of quantum communication networks leads to challenges in designing quantum network protocols using classical methods. To address this issue, we develop a variational quantum optimization framework that…

Quantum Physics · Physics 2023-04-14 Brian Doolittle , Tom Bromley , Nathan Killoran , Eric Chitambar

The hybrid quantum-classical algorithm is actively examined as a technique applicable even to intermediate-scale quantum computers. To execute this algorithm, the hardware efficient ansatz is often used, thanks to its implementability and…

Quantum Physics · Physics 2021-04-21 Kouhei Nakaji , Naoki Yamamoto

Random quantum circuits continue to inspire a wide range of applications in quantum information science and many-body quantum physics, while remaining analytically tractable through probabilistic methods. Motivated by an interest in…

Quantum Physics · Physics 2023-08-02 Grace M. Sommers , David A. Huse , Michael J. Gullans

We characterize the variational power of quantum circuit tensor networks in the representation of physical many-body ground-states. Such tensor networks are formed by replacing the dense block unitaries and isometries in standard tensor…

Quantum Physics · Physics 2022-04-01 Reza Haghshenas , Johnnie Gray , Andrew C. Potter , Garnet Kin-Lic Chan

Parameterized quantum circuits play a key role for the development of quantum variational algorithms in the realm of the NISQ era. Knowing their actual capability of performing different kinds of tasks is then of the utmost importance. By…

Quantum Physics · Physics 2024-05-31 Guilherme Ilário Correr , Pedro C. Azado , Diogo O. Soares-Pinto , Gabriel Carlo

We present a quantum circuit optimization technique that takes into account the variability in error rates that is inherent across present day noisy quantum computing platforms. This method can be run post qubit routing or post-compilation,…

Quantum Physics · Physics 2023-03-22 Paul D. Nation , Matthew Treinish

We study the performance and resource usage of the variational quantum factoring (VQF) algorithm for different instance sizes and optimization algorithms. Our simulations show better chance of finding the ground state when using VQE rather…

Quantum Physics · Physics 2022-08-16 Vivian Phan , Arttu Pönni , Matti Raasakka , Ilkka Tittonen

Quantum network is a promising platform for many ground-breaking applications that lie beyond the capability of its classical counterparts. Efficient entanglement generation on quantum networks with relatively limited resources such as…

Quantum Physics · Physics 2020-01-08 Changhao Li , Tianyi Li , Yi-Xiang Liu , Paola Cappellaro

Realistic quantum devices are inherently open and often involve environments with memory. Here, we investigate quantum resource generation in two classes of random circuits, namely, memoryless open and memoryful open random circuits, and…

Quantum Physics · Physics 2026-05-21 Paranjoy Chaki , Arkaprava Sil , Priya Ghosh , Ujjwal Sen , Sudipto Singha Roy

The random walk formalism is used across a wide range of applications, from modelling share prices to predicting population genetics. Likewise quantum walks have shown much potential as a frame- work for developing new quantum algorithms.…

This work investigates the application of quantum machine learning techniques for classical and quantum communication across different qubit channel models. By employing parameterized quantum circuits and a flexible channel noise model, we…

Quantum Physics · Physics 2023-07-14 Lakshika Rathi , Stephen DiAdamo , Alireza Shabani

We present a comprehensive survey of the advancements and techniques in the field of tractable probabilistic generative modeling, primarily focusing on Probabilistic Circuits (PCs). We provide a unified perspective on the inherent…

Machine Learning · Computer Science 2024-06-07 Sahil Sidheekh , Sriraam Natarajan

We propose an approach for learning probability distributions as differentiable quantum circuits (DQC) that enable efficient quantum generative modelling (QGM) and synthetic data generation. Contrary to existing QGM approaches, we perform…

Quantum Physics · Physics 2024-11-15 Oleksandr Kyriienko , Annie E. Paine , Vincent E. Elfving

Quantum resources, such as entanglement or quantum communication, offer significant communication advantages in information processing. We develop an operational framework for realizing these communication advantages in resource-constrained…

Quantum Physics · Physics 2026-04-16 Brian Doolittle , Felix Leditzky , Eric Chitambar

We apply a hybrid evolutionary algorithm to minimize the depth of circuits in quantum computing. More specifically, we evaluate two different variants of the algorithm. In the first approach, we combine the evolutionary algorithm with an…

We show that several quantum circuit families can be simulated efficiently classically if it is promised that their output distribution is approximately sparse i.e. the distribution is close to one where only a polynomially small, a priori…

Quantum Physics · Physics 2013-10-28 Martin Schwarz , Maarten Van den Nest