quantumcomplexiteit

Quantum complexity refers to the emergence of complex behavior in quantum systems, particularly in their behavior under conditions that involve many particles or in systems that undergo decoherence, a process where a quantum system interacts with its environment and loses its quantum nature.

Decoherence typically induces gradual loss of quantum features and the emergence of classical statistical properties. However, certain systems exhibit a range of behaviors, from simple quantum to complex, intermediate regimes. This complex quantum regime arises when the rate of decoherence is comparable to the rate of quantum relaxation, a phenomenon that can lead to the emergence of coherent, long-lived quantum correlations.

Key characteristics of complex quantum systems typically involve unstable phases, phase transitions, delocalization, and quantum entanglement. When facing decoherence, such systems can exhibit a range of behaviors, including quantum error correction, robustness against decoherence, and new forms of quantum entanglement.

Examples of systems known to exhibit complex quantum behavior include quantum gravity toy models, which involve reduced descriptions of particles as abstract mathematical forms within curved spacetime. These models have been described using various quantum field theories, and their inherent intricate behavior and anti-de Sitter gravitational effects make them challenging to address.

Research in the quantum complexity area involves attempts to understand when decoherent systems undergo phase transitions to complex behavior as decoherence rate becomes comparable to relaxation rate, and measuring corresponding interactions or correlations to cross classical-parametric systems boundaries.