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Non-unitary System

Our group explores a range of phenomena where the usual postulate of unitarity is relaxed or effectively broken, offering new perspectives on quantum field theories and gravity. One strand of our research focuses on non-unitary conformal field theories (CFTs), particularly those relevant to the dS/CFT correspondence. We also investigate higher derivative theories and their associated Ostrogradsky instabilities, clarifying whether such pathologies can be tamed or interpreted in a broader framework that may include non-unitary or ghost-like degrees of freedom.

A parallel interest lies in open quantum systems, where environmental interactions or measurement processes break unitarity, and how these frameworks might illuminate the black hole evaporation process. In particular, we connect quantum channels, decoherence effects, and dissipative dynamics to Hawking radiation and entropy production, highlighting a new vantage point on the information paradox. We further examine PT-symmetric deformations of quantum field theories and their role in holography, testing whether non-Hermitian operators can encode realistic physics in AdS/CFT correspondence. Through these investigations, we aim to bridge the gap between conventional unitary theories, real-world open quantum systems, and potential non-unitary open quantum gravity.

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