Higher-order quantum processes respecting closed labs in classical spacetime are exactly those realizable as quantum circuits with quantum control of causal order.
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Causal reference frame and time-delocalized subsystem descriptions of pure processes are coordinate parametrizations of a single neutral object, with unitary perspective transformations possible by reshuffling time order or adding reference-frame subsystems.
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Higher-order quantum processes respecting closed labs in a spacetime have quantum controlled causal order
Higher-order quantum processes respecting closed labs in classical spacetime are exactly those realizable as quantum circuits with quantum control of causal order.
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Frame perspectives for process matrices: from coordinate parametrization to spacetime representation
Causal reference frame and time-delocalized subsystem descriptions of pure processes are coordinate parametrizations of a single neutral object, with unitary perspective transformations possible by reshuffling time order or adding reference-frame subsystems.