Higher-order quantum processes respecting closed labs in classical spacetime are exactly those realizable as quantum circuits with quantum control of causal order.
Maximal incompatibility of locally classical behavior and global causal order in multiparty scenarios
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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.