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Random unitary circuits have emerged as minimal model to theoretically address the issues of thermalisation in quantum many body systems via capturing entanglement growth and propagation of information. These systems become even more interesting when the circuit is interspersed with local measurements, providing an ideal platform to realise the open quantum systems. The non-unitary dynamics of the monitored random circuit can now be probed in noisy intermediate scale quantum (NISQ) devices, studying the novel interplay of entangling unitary dynamics and disentangling projective measurements, leading to the measurement induced entanglement phase transitions (MIPT). This is a phase transition in entanglement structure of the system, from volume law to area law, with increasing measurement rate(p).
Our research group is interested in fundamental questions like (a) how does the presence of symmetry constraints in the circuit affect the critical properties of MIPT? and also address issues with practical roadblocks to realise MIPT in experiments, such as (b) how robust are the transitions and the critical properties to the presence of weak dissipation/decoherence in the hybrid circuit? and (c) how can we overcome the post-selection problem, i.e. reproducing the exact same sequence of measurement outcomes to average observables in experiments? We are actively collaborating with experimental groups exploring the possibilities of observing the entanglement phase transition in new experimental platforms, such as bosonic quantum devices implemented in multimode circuit QED systems.
Phase diagram and overlapping criticality of charge-sharpening and entanglement transitions in U(1) symmetric monitored quantum circuit. Ref: Phys. Rev. B 110, 045135 (2024)
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