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• W3142194265 abstract "Notions of circuit complexity and cost play a key role in quantum computing and simulation where they capture the (weighted) minimal number of gates that is required to implement a unitary. Similar notions also become increasingly prominent in high energy physics in the study of holography. While notions of entanglement have in general little implications for the quantum circuit complexity and the cost of a unitary, in this note, we discuss a simple such relationship when both the entanglement of a state and the cost of a unitary take small values, building on ideas on how values of entangling power of quantum gates add up. This bound implies that if entanglement entropies grow linearly in time, so does the cost. The implications are two-fold: It provides insights into complexity growth for short times. In the context of quantum simulation, it allows to compare digital and analog quantum simulators. The main technical contribution is a continuous-variable small incremental entangling bound." @default.
• W3142194265 created "2021-04-13" @default.
• W3142194265 creator A5000771982 @default.
• W3142194265 date "2021-07-07" @default.
• W3142194265 modified "2023-10-15" @default.
• W3142194265 title "Entangling Power and Quantum Circuit Complexity" @default.
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• W3142194265 doi "https://doi.org/10.1103/physrevlett.127.020501" @default.
• W3142194265 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/34296906" @default.
• W3142194265 hasPublicationYear "2021" @default.
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