Monitored Quantum Circuits with Noncommuting Conserved Quantities | Qiskit Quantum Seminar

Monitored Quantum Circuitswith Noncommuting Conserved Quantities | Qiskit Quantum Seminar with Shayan Majidy.

Hosted by Zlatko Minev, PhD.

Episode 137

Paper: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.108.054307

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Abstract:

Monitored quantum circuits exhibit entanglement transitions at certain measurement rates. Such a transition separates phases characterized by how much information an observer can learn from the measurement outcomes. We study SU(2)-symmetric monitored quantum circuits, using exact numerics. Due to the symmetry's non-Abelian nature, measuring qubit pairs allows for nontrivial entanglement scaling even in the measurement-only limit. We find a transition between a volume-law entangled phase and a critical phase whose diffusive purification dynamics emerge from the non-Abelian symmetry. Additionally, we identify a “spin-sharpening transition.” Across the transition, the rate at which measurements reveal information about the total spin quantum number changes parametrically with system size. We compliment the numerics with an effective statistical-mechanics model.

Bio:

Shayan Majidy is a Vanier Scholar and Ph.D. candidate at the Perimeter Institute and the Institute for Quantum Computing at the University of Waterloo. He is co-supervised by Nicole Yunger Halpern and Raymond Laflamme. His current research interest is to leverage results from quantum thermodynamics to enhance quantum technology's resistance to decoherence. Shayan is also the lead author of the upcoming textbook Building Quantum Computers (Cambridge University Press), which will be available for purchase in the Fall of 2024.

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