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Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication

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arxiv 1605.07372 v2 pith:U4KHOIME submitted 2016-05-24 quant-ph

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keywords communicationquantumcomplexitysuperpositionadvantagedirectionexponentialtask
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In communication complexity, a number of distant parties have the task of calculating a distributed function of their inputs, while minimizing the amount of communication between them. It is known that with quantum resources, such as entanglement and quantum channels, one can obtain significant reductions in the communication complexity of some tasks. In this work, we study the role of the quantum superposition of the direction of communication as a resource for communication complexity. We present a tripartite communication task for which such a superposition allows for an exponential saving in communication, compared to one-way quantum (or classical) communication; the advantage also holds when we allow for protocols with bounded error probability.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Routing Quantum Control of Causal Order

    quant-ph 2025-07 accept novelty 8.0 of 10

    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).

  2. Toward an Experimental Device-Independent Verification of Indefinite Causal Order

    quant-ph 2025-06 conditional novelty 7.0 of 10

    First experimental implementation of a device-independent inequality violation for indefinite causal order, with measured value 1.8328 ± 0.0045 against bound 1.75.

  3. Classical and Quantum Query Complexity of Boolean Functions under Indefinite Causal Order

    quant-ph 2025-06 conditional novelty 7.0 of 10

    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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