Semicoherent Symmetric Quantum Processes: Theory and Applications
arxiv(2024)
摘要
Discovering pragmatic and efficient approaches to synthesize
ε-approximations to quantum operators such as real (imaginary)
time-evolution propagators in terms of the basic quantum operations (gates) is
challenging. These invaluable ε-approximations enable the
compilation of classical and quantum algorithms modeling, e.g., dynamical
properties. In parallel, symmetries are powerful tools concisely describing the
fundamental laws of nature; the symmetrical underpinnings of physical laws
having consistently provided profound insights and substantially increased
predictive power. In this work, we consider the interplay between
ε-approximations processes and symmetries in a semi-coherent
context–where measurements occur at each logical clock cycle. We draw
inspiration from Pascual Jordan's groundbreaking formulation of
non-associative, but commutative, algebraic forms. Our symmetrized formalism is
applied in various domains such as quantum random walks, real-time-evolutions,
variational algorithms ansatzes, and efficient entanglement verification. Our
work paves the way for a deeper understanding and greater appreciation of how
symmetries can be used to control quantum dynamics in the near-term.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要