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This work proposes that there are specific quantum field-theoretic scenarios in which the reduced quantum state, obtained by tracing out non-accessible degrees of freedom of a subsystem, can be path-dependent and, therefore, not unique. By “path dependence,” we mean that the reduced state may vary based on the sequence in which the tracing procedure is performed. This variation in the reduced state can have significant implications.

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Aspects of Transitivity in Quantum Field Theory and Its Possible Consequences

  • 会议论文

  • 发表日期：

    2025年

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  • Akhil U. Nair,
  • Sashideep Gutti,
  • Prasant Samantray

摘要

This work proposes that there are specific quantum field-theoretic scenarios in which the reduced quantum state, obtained by tracing out non-accessible degrees of freedom of a subsystem, can be path-dependent and, therefore, not unique. By “path dependence,” we mean that the reduced state may vary based on the sequence in which the tracing procedure is performed. This variation in the reduced state can have significant implications.