Multivariate trace estimation in constant quantum depth

There is a folkloric belief that a depth-$\Theta(m)$ quantum circuit is needed to estimate the trace of the product of $m$ density matrices (i.e., a multivariate trace), a subroutine crucial to applications in condensed matter and quantum information science. We prove that this belief is overly cons...

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Bibliographic Details
Main Authors: Yihui Quek, Eneet Kaur, Mark M. Wilde
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2024-01-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2024-01-10-1220/pdf/