Higher-order quantum processes respecting closed labs in classical spacetime are exactly those realizable as quantum circuits with quantum control of causal order.
Causal structure in the presence of sectorial constraints, with application to the quantum switch
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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.