Paper Info
Title
Concrete Categorical Model of a Quantum Circuit Description Language with Measurement.
Abstract
In this paper, we introduce dynamic lifting to a quantum circuit-description language, following the Proto-Quipper language approach. Dynamic lifting allows programs to transfer the result of measuring quantum data -- qubits -- into classical data -- booleans -- . We propose a type system and an operational semantics for the language and we state safety properties. Next, we introduce a concrete categorical semantics for the proposed language, basing our approach on a recent model from Rios\&Selinger for Proto-Quipper-M. Our approach is to construct on top of a concrete category of circuits with measurements a Kleisli category, capturing as a side effect the action of retrieving classical content out of a quantum memory. We then show a soundness result for this semantics.
Year
DOI
Venue
2021
10.4230/LIPIcs.FSTTCS.2021.51
FSTTCS
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Dongho Lee101.35
Valentin Perrelle201.01
Benoît Valiron322821.00
Zhaowei Xu401.01