arrow
Return

Diffusion-inspired quantum noise mitigation in parameterized quantum circuits

delete2025-04-16
delete0
PRE
AI
H
Hoang-Quan Nguyen *
X
Xuan-Bac Nguyen
S
Samuel Yen-Chi Chen
H
Hugh Churchill
N
Nicholas J. Borys
S
Samee U. Khan
K
Khoa Luu
DOI:10.1007/s42484-025-00276-2delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
Parameterized quantum circuits (PQCs) have been acknowledged as a leading strategy to utilize near-term quantum advantages in multiple problems, including machine learning and combinatorial optimization. When applied to specific tasks, the parameters in the quantum circuits are trained to minimize the target function. Although there have been comprehensive studies to improve the performance of the PQCs on practical tasks, the errors caused by the quantum noise downgrade the performance when running on real quantum computers. In particular, when the quantum state is transformed through multiple quantum circuit layers, the effect of the quantum noise happens cumulatively and becomes closer to the maximally mixed state or complete noise. This paper studies the relationship between the quantum noise and the diffusion model. Then, we propose a novel diffusion-inspired learning approach to mitigate the quantum noise in the PQCs and reduce the error for specific tasks. Through our experiments, we illustrate the efficiency of the learning strategy and achieve state-of-the-art performance on classification tasks in the quantum noise scenarios.
Keywords:
Quantum machine learning
Quantum information
Quantum noise
Diffusion models

Journal

Q
Quantum Machine Intelligence
IF:
4.4
Papers:
453
Citations:
796

Organization

D
Department of Physics
Scholars:
5.9K
Papers: 2.1K
Citations: 37
D
Department of Electrical and Computer Engineering
Scholars:
812
Papers: 433
Citations: 6
researcher View more organizations
Cited Papers

Cited Papers

TorchQuantum Case Study for Robust Quantum Circuits
err2022-12-22
err0
errOAAI
errHanrui Wang; Zhiding Liang; Jiaqi Gu; Zirui Li; Yongshan Ding; Weiwen Jiang; Yiyu Shi; David Z. Pan; Frederic T. Chong; Song Han
errShare
errSave
Error Mitigation for Short-Depth Quantum Circuits
err2017-11-03
err0
errOAAI
errKristan Temme; Sergey Bravyi; Jay M. Gambetta
errShare
errSave
Stochastic gradient descent for hybrid quantum-classical optimization
errQUANTUM
IF5.4
err2020-08-31
err158
errOAAI
errSweke, Ryan; Wilde, Frederik; Meyer, Johannes Jakob; Schuld, Maria; Faehrmann, Paul K.; Meynard-Piganeau, Barthelemy; Eisert, Jens
errShare
errSave
Quantum supremacy using a programmable superconducting processor
err2019-10-23
err0
errOAAI
errFrank Arute; Kunal Arya; Ryan Babbush; Dave Bacon; Joseph C. Bardin; Rami Barends; Rupak Biswas; Sergio Boixo; Fernando G. S. L. Brandao; David A. Buell; Brian Burkett; Yu Chen; Zijun Chen; Ben Chiaro; Roberto Collins; William Courtney; Andrew Dunsworth; Edward Farhi; Brooks Foxen; Austin Fowler; Craig Gidney; Marissa Giustina; Rob Graff; Keith Guerin; Steve Habegger; Matthew P. Harrigan; Michael J. Hartmann; Alan Ho; Markus Hoffmann; Trent Huang; Travis S. Humble; Sergei V. Isakov; Evan Jeffrey; Zhang Jiang; Dvir Kafri; Kostyantyn Kechedzhi; Julian Kelly; Paul V. Klimov; Sergey Knysh; Alexander Korotkov; Fedor Kostritsa; David Landhuis; Mike Lindmark; Erik Lucero; Dmitry Lyakh; Salvatore Mandrà; Jarrod R. McClean; Matthew McEwen; Anthony Megrant; Xiao Mi; Kristel Michielsen; Masoud Mohseni; Josh Mutus; Ofer Naaman; Matthew Neeley; Charles Neill; Murphy Yuezhen Niu; Eric Ostby; Andre Petukhov; John C. Platt; Chris Quintana; Eleanor G. Rieffel; Pedram Roushan; Nicholas C. Rubin; Daniel Sank; Kevin J. Satzinger; Vadim Smelyanskiy; Kevin J. Sung; Matthew D. Trevithick; Amit Vainsencher; Benjamin Villalonga; Theodore White; Z. Jamie Yao; Ping Yeh; Adam Zalcman; Hartmut Neven; John M. Martinis
errShare
errSave
Quantum autoencoders for efficient compression of quantum data
err2017-08-18
err356
errOAAI
errRomero, Jonathan; Olson, Jonathan P.; Aspuru-Guzik, Alan
errShare
errSave
General parameter-shift rules for quantum gradients
err2022-03-30
err0
errOAAI
errDavid Wierichs; Josh Izaac; Cody Wang; Cedric Yen-Yu Lin
errShare
errSave
On quantum Rényi entropies: A new generalization and some properties
err2013-12-13
err0
errOAAI
errMartin Müller-Lennert; Frédéric Dupuis; Oleg Szehr; Serge Fehr; Marco Tomamichel
errShare
errSave
QClusformer: A Quantum Transformer-based Framework for Unsupervised Visual Clustering
err2024-09-15
err0
PREAI
errXuan-Bac Nguyen; Hoang-Quan Nguyen; Samuel Yen-Chi Chen; Samee U. Khan; Hugh Churchill; Khoa Luu
errShare
errSave
researcher View more