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Seminar Series with Cheng-Ju Lin
Qiskit Qiskit Seminar Series Episode 126 with Cheng-Ju Lin
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Speaker: Cheng-Ju Lin
Host: Derek Wang
Here's Austin Minnich's seminar from a couple of months ago: https://www.youtube.com/live/lYbPbUu3aGA?feature=share
Abstract:
The measurement-induced phase transition is a recently discovered phenomenon where mid-circuit measurements in a quantum circuit composed of random unitary gates can drive an entanglement phase transition of the measured quantum states. By adding symmetries to the measurements and the gates, the quantum states can even show richer orders of phases. Nonetheless, verifying such phases on a quantum simulator requires multiple copies of the measured quantum states with the same measurement outcomes, making the verification impossible to scale to a large number of qubits --- the infamous post-selection barrier. We propose a hybrid quantum-classical protocol to overcome this post-selection barrier. This protocol involves executing the circuit and measurements on a quantum simulator, which generates measurement outcomes sampled from the probability distribution dictated by quantum mechanics. Subsequently, we determine an "order parameter" via a classical calculation using only the measurement outcomes to distinguish the phases. We employ this protocol to verify the measurement-induced phase transitions with and without symmetries. Our numerical simulation suggests that our protocol can verify the measurement-induced phases beyond the sizes done in the previous experiments.
Bio:
Dr. Cheng-Ju Lin is an RQS postdoctoral fellow at the University of Maryland. He received his Ph.D. in physics from Caltech in 2019. Before coming to UMD, he was a postdoctoral researcher at Perimeter Institute from 2019 to 2022. His research interests lie at the intersection of many-body physics and quantum/classical simulation. More specifically, he is interested in quantum dynamics in closed and open systems, thermalization and chaos, and the lack of them in quantum many-body systems.
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