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Perfect discrimination of no-signalling channels via quantum superposition of causal structures
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A no-signalling channel transforming quantum systems in Alice's and Bob's laboratories is compatible with two different causal structures: (A < B) Alice's output causally precedes Bob's input and (B< A) Bob's output causally precedes Alice's input. I show that a quantum superposition of circuits operating within these two causal structures enables the perfect discrimination between no-signalling channels that can not be perfectly distinguished by any ordinary circuit.
Forward citations
Cited by 3 Pith papers
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Routing Quantum Control of Causal Order
Every N-party quantum circuit with quantum control of causal order can be represented as a routed quantum circuit built from one fixed routed graph G_QC-QC(N).
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Causally indefinite classical processes can compute a constructed Boolean function family with D^0.792 queries instead of D, and indefinite causal order gives an exact three-query quantum algorithm where sequential qu...
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Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension
Defines polyslot pslot[C] and srep[C] constructions on symmetric monoidal categories that reconstruct unitary supermaps and forbid time-loops in composition, with equivalence shown on path-contraction groupoids.
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