Efficient post-selection in light-cone correlations of monitored quantum circuits
- URL: http://arxiv.org/abs/2408.13096v2
- Date: Thu, 29 Aug 2024 22:04:56 GMT
- Title: Efficient post-selection in light-cone correlations of monitored quantum circuits
- Authors: Jimin Li, Robert L. Jack, Bruno Bertini, Juan P. Garrahan,
- Abstract summary: We show that post-selected light-cone dynamical correlation functions can be obtained efficiently from the averaged correlations of a different unitary circuit.
This connects rare measurement outcomes in one circuit to typical outcomes in another one.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider how to target evolution conditioned on atypical measurement outcomes in monitored quantum circuits, i.e., the post-selection problem. We show that for a simple class of measurement schemes, post-selected light-cone dynamical correlation functions can be obtained efficiently from the averaged correlations of a different unitary circuit. This connects rare measurement outcomes in one circuit to typical outcomes in another one. We derive conditions for the existence of this rare-to-typical mapping in brickwork quantum circuits made of XYZ gates. We illustrate these general results with a model system that exhibits a dynamical crossover (a smoothed dynamical transition) in event statistics, and discuss extensions to more general dynamical correlations.
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