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Quantum Recursion and Second Quantisation

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arxiv 1405.4443 v2 pith:W336UQYJ submitted 2014-05-17 quant-ph cs.LOcs.PL

classification quant-phcs.LOcs.PL
keywords quantumrecursionquantisationsecondwalksclassicalcomputationconsidered
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This paper introduces a new notion of quantum recursion of which the control flow of the computation is quantum rather than classical as in the notions of recursion considered in the previous studies of quantum programming. A typical example is recursive quantum walks, which are obtained by slightly modifying the construction of the ordinary quantum walks. The operational and denotational semantics of quantum recursions are defined by employing the second quantisation method, and they are proved to be equivalent.

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  1. A Denotational Semantics for Quantum Loops

    cs.PL 2025-06 conditional novelty 4.0 of 10

    Quantum while loops get a denotational semantics as the strong limit of linear operators that discard the non-terminating part of the computation.

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