TL;DR
Hamiltonian complexity is an emerging interdisciplinary field exploring the computational difficulty of simulating physical systems, bridging computer science and physics, with foundational results and future research directions.
Contribution
This paper reviews the foundational results, key problems, and future directions in the nascent field of Hamiltonian complexity.
Findings
Identifies core problems in Hamiltonian simulation complexity
Summarizes key theoretical results in the field
Outlines future research directions
Abstract
In recent years we've seen the birth of a new field known as hamiltonian complexity lying at the crossroads between computer science and theoretical physics. Hamiltonian complexity is directly concerned with the question: how hard is it to simulate a physical system? Here I review the foundational results, guiding problems, and future directions of this emergent field.
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