Volumes of parent Hamiltonians for benchmarking quantum simulators

We investigate the relative volume of parent Hamiltonians having a target ground state up to some fixed error ε, a quantity which sets a benchmark on the performance of quantum simulators. For vanishing error, this relative volume is of measure zero, whereas for a generic ε we show that it increases...

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Bibliographic Details
Main Authors: María García Díaz, Gael Sentís, Ramon Muñoz Tapia, Anna Sanpera
Format: Article
Language:English
Published: American Physical Society 2022-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.023228