Physics Colloquia: Case Studies on Physical Complexity in Quantum States: From Quantum Phase Transitions to Quantum Cellular Automata

Lincoln Carr
Event starts on this day

Mar

12

2025

Event starts at this time 3:00 pm – 4:00 pm
In Person (view details)
Featured Speaker(s): Lincoln Carr
Cost: Free
Lincoln Carr is a Professor in the Quantum Engineering Program and the Physics Department at the Colorado School of Mines.

Description

The application of graph theory to networks has resulted in a myriad of classical applications across biology, economics, epidemiology, sociology, and soft condensed matter physics.  Recent quantum information devices allow us access to large, complex quantum states with non-trivial entanglement structure.  In this talk, I will use three case studies to show the ease and usefulness of complex network theory in identifying novel features of known quantum systems and new kinds of quantum states accessible in noisy intermediate-scale quantum (NISQ) scenarios.

References:

1. Marc Andrew Valdez, Daniel Jaschke, David L. Vargas and Lincoln D. Carr, “Quantifying Complexity in Quantum Phase Transitions via Mutual Information Complex Networks,” Phys. Rev. Lett., v. 119, p. 225301 (2017)
2. Bhuvanesh Sundar, Marc Andrew Valdez, Lincoln D. Carr, and Kaden R. A. Hazzard, “A complex network description of thermal quantum states in the Ising spin chain,” Phys. Rev. A, v. 97, p. 052320 (2018)
3. Bhuvanesh Sundar, Mattia Walschaers, Valentina Parigi, and Lincoln D Carr, “Response of quantum spin networks to attacks,” J. Phys. Complexity, v.2, p. 035008 (2021)
4. LE Hillberry, MT Jones, DL Vargas, P Rall, N Yunger Halpern, N Bao, S Notarnicola, S Montangero, LD Carr, “Entangled quantum cellular automata, physical complexity, and Goldilocks rules,” Quantum Science and Technology, v. 6, p. 045017 (2021)
5. EB Jones, LE Hillberry, MT Jones, M Fasihi, P Roushan, Z Jiang, A Ho, C Neill, E Ostby, P Graf, E Kapit, and LD Carr, “Small-world complex network generation on a digital quantum processor,” Nature Communications v. 13, p. 4483 (2022)
6. Mattia Walschaers, Nicholas Treps, Bhuvanesh Sundar, Lincoln D Carr, and Valentina Parigi, “Emergent complex quantum networks in continuous-variables non-Gaussian states,” Quantum Science and Technology, v. 8, p. 035009 (2023)
7. LE Hillberry, M Fasihi, L Piroli, N Yunger Halpern, T Prosen, and LD Carr, “Classical simulability, thermodynamics, and integrability of Goldilocks quantum cellular automata,” Phys. Rev. Lett, to be submitted shortly (2024)

Host: Mark Raizen

Location

Physics Colloquia are held each Wednesday beginning at 3:00pm in the
John A. Wheeler Lecture Hall (PMA 4.102) unless otherwise noted.

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