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Device-independent certification of indefinite causal order in the quantum switch
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Device-independent certification of indefinite causal order in the quantum switch
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Quantum theory is compatible with scenarios in which the order of operations is indefinite. Experimental investigations of such scenarios, all of which have been based on a process known as the quantum switch, have provided demonstrations of indefinite causal order conditioned on assumptions on the devices used in the laboratory. But is a device-independent certification possible, similar to the certification of Bell nonlocality through the violation of Bell inequalities? Previous results have shown that the answer is negative if the switch is considered in isolation. Here, however, we present an inequality that can be used to device-independently certify indefinite causal order in the quantum switch in the presence of an additional spacelike-separated observer under an assumption asserting the impossibility of superluminal and retrocausal influences.
Forward citations
Cited by 3 Pith papers
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Causality from the spectrum: Emergence of causal order from process-matrix mereology
A process matrix can be unitarily transformed to a fixed-causal-order process exactly when its eigenvalue multiplicities are divisible by the final output dimension; generic high-dimensional spectra are close to such spectra.
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How many systems can be dephased before the quantum switch becomes causally definite?
In bipartite processes and multipartite quantum circuits with quantum control, causal nonseparability persists when any single non-future system remains undephased but becomes separable if all systems or only the futu...
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Agency under indefinite causality: operational eternalism in higher-order quantum theory
In indefinite-causal-order quantum theory, an observer is a perspective-dependent grouping of input/output data, with a new 'friendliness' criterion for causally compatible agents.
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