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Attention to quantum complexity

delete2025-10-10
delete0
PRE
AI
H
Hyejin Kim
Y
Yiqing Zhou
Y
Yichen Xu
K
Kaarthik Varma
A
Amir H. Karamlou
I
Ilan T. Rosen
J
Jesse C. Hoke
C
Chao Wan
J
Jin Peng Zhou
W
William D. Oliver
Y
Yuri D. Lensky
K
Kilian Q. Weinberger
E
Eun-Ah Kim *
DOI:10.1126/sciadv.adu0059delete
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Abstract

Abstract

En 中文
The imminent era of error-corrected quantum computing demands robust methods to characterize quantum state complexity from limited, noisy measurements. We introduce the Quantum Attention Network (QuAN), a classical artificial intelligence (AI) framework leveraging attention mechanisms tailored for learning quantum complexity. Inspired by large language models, QuAN treats measurement snapshots as tokens while respecting permutation invariance. Combined with our parameter-efficient miniset self-attention block, this enables QuAN to access high-order moments of bit-string distributions and preferentially attend to less noisy snapshots. We test QuAN across three quantum simulation settings: driven hard-core Bose-Hubbard model, random quantum circuits, and toric code under coherent and incoherent noise. QuAN directly learns entanglement and state complexity growth from experimental computational basis measurements, including complexity growth in random circuits from noisy data. In regimes inaccessible to existing theory, QuAN unveils the complete phase diagram for noisy toric code data as a function of both noise types, highlighting AI’s transformative potential for assisting quantum hardware.

Journal

Science Advances cover
Science Advances
IF:
12.5
Papers:
2.1W
Citations:
18.1W

Organization

M
Massachusetts Institute of Technology
Scholars:
2.4K
Papers: 1.1K
Citations: 8
G
google research, mountain view, ca 94043, usa.
Scholars:
2
Papers: 2
Citations: 0
C
Cornell University
Scholars:
6.3W
Papers: 5.4W
Citations: 10.9W
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Cited Papers

Cited Papers

Resource theory of quantum uncomplexity
err2022-12-15
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errOAAI
errNicole Yunger Halpern; Naga B. T. Kothakonda; Jonas Haferkamp; Anthony Munson; Jens Eisert; Philippe Faist
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Attention-based quantum tomography
err2021-11-23
err44
errOAAI
errCha, Peter; Ginsparg, Paul; Wu, Felix; Carrasquilla, Juan; McMahon, Peter L.; Kim, Eun-Ah
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Volume-Law Entanglement Entropy of Typical Pure Quantum States
err2022-07-26
err55
errOAAI
errBianchi, Eugenio; Hackl, Lucas; Kieburg, Mario; Rigol, Marcos; Vidmar, Lev
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Diagnostics of Mixed-State Topological Order and Breakdown of Quantum Memory
err2024-05-24
err18
errOAAI
errFan, Ruihua; Bao, Yimu; Altman, Ehud; Vishwanath, Ashvin
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Learning-Based Calibration of Flux Crosstalk in Transmon Qubit Arrays
err2023-08-28
err0
PREAI
errCora N. Barrett; Amir H. Karamlou; Sarah E. Muschinske; Ilan T. Rosen; Jochen Braumüller; Rabindra Das; David K. Kim; Bethany M. Niedzielski; Meghan Schuldt; Kyle Serniak; Mollie E. Schwartz; Jonilyn L. Yoder; Terry P. Orlando; Simon Gustavsson; Jeffrey A. Grover; William D. Oliver
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Measurement-driven entanglement transition in hybrid quantum circuits
err2019-10-15
err398
errOAAI
errLi, Yaodong; Chen, Xiao; Fisher, Matthew P. A.
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Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories
err2021-03-17
err24
errOAAI
errCamargo, Hugo A.; Hackl, Lucas; Heller, Michal P.; Jahn, Alexander; Takayanagi, Tadashi; Windt, Bennet
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Quantum State Tomography with Conditional Generative Adversarial Networks
err2021-09-27
err0
errOAAI
errShahnawaz Ahmed; Carlos Sánchez Muñoz; Franco Nori; Anton Frisk Kockum
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