Algebraic QFT on curved spacetime erases the distinction between physically real and fictional quantum states that exists in flat-space QM, and the state concept itself may be dispensable.
Antinormally-ordered quantizations, phase space path integrals and the O lshanski semigroup of a symplectic group
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A skepticism on the concept of quantum state related to quantum field theory on curved spacetime
Algebraic QFT on curved spacetime erases the distinction between physically real and fictional quantum states that exists in flat-space QM, and the state concept itself may be dispensable.