Undergrad What is "unitary evolution" of something in physics?

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SUMMARY

The discussion centers on the concept of "unitary evolution" in physics, specifically in quantum mechanics. Unitary evolution refers to the idea that a closed quantum system evolves over time in a deterministic manner, preserving the total probability. This principle is foundational in quantum theory, ensuring that the evolution of quantum states is reversible and governed by unitary operators. The claim is often referenced in the context of quantum computing and the conservation of information.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with unitary operators in linear algebra
  • Knowledge of closed quantum systems
  • Basic concepts of quantum state evolution
NEXT STEPS
  • Research the mathematical foundations of unitary operators in quantum mechanics
  • Explore the implications of unitary evolution in quantum computing
  • Study the role of closed systems in quantum theory
  • Investigate the relationship between unitary evolution and information conservation
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Physicists, quantum mechanics students, and researchers in quantum computing who seek to deepen their understanding of unitary evolution and its implications in theoretical physics.

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What do we mean when we say that a system can't change (in time) because its evolution is unitary?
 
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