Extracting randomness from quantum 'magic'

• URL: http://arxiv.org/abs/2402.10181v1
• Date: Thu, 15 Feb 2024 18:33:21 GMT
• Title: Extracting randomness from quantum 'magic'
• Authors: Christopher Vairogs, Bin Yan
• Abstract summary: We show that when a subsystem of a quantum state is measured, the resultant projected ensemble of the unmeasured subsystem can exhibit a high degree of randomness. Our findings suggest an efficient approach for leveraging magic as a resource to generate random quantum states.
• Score: 4.607344782066309
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Magic is a critical property of quantum states that plays a pivotal role in fault-tolerant quantum computation. Simultaneously, random states have emerged as a key element in various randomized techniques within contemporary quantum science. In this study, we establish a direct connection between these two notions. More specifically, our research demonstrates that when a subsystem of a quantum state is measured, the resultant projected ensemble of the unmeasured subsystem can exhibit a high degree of randomness that is enhanced by the inherent 'magic' of the underlying state. We demonstrate this relationship rigorously for quantum state 2-designs, and present compelling numerical evidence to support its validity for higher-order quantum designs. Our findings suggest an efficient approach for leveraging magic as a resource to generate random quantum states.

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