Deutsch and Hayden have proposed an alternative formulation of quantum mechanics which is completely local. We argue that their proposal must be understood as having a form of ‘gauge freedom’ according to which mathematically distinct states are physically equivalent. Once this gauge freedom is taken into account, their formulation is no longer local.
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In QFT, this is a consequence of the requirement that spacelike separated observables must commute.
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Wallace, D., Timpson, C.G. Non-locality and Gauge Freedom in Deutsch and Hayden’s Formulation of Quantum Mechanics. Found Phys 37, 951–955 (2007). https://doi.org/10.1007/s10701-007-9135-7
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DOI: https://doi.org/10.1007/s10701-007-9135-7