Search Results - "Hefford, James"
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1
Optimal local unitary encoding circuits for the surface code
Published in Quantum (Vienna, Austria) (05-08-2021)“…The surface code is a leading candidate quantum error correcting code, owing to its high threshold, and compatibility with existing experimental architectures…”
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2
Coend Optics for Quantum Combs
Published in Electronic proceedings in theoretical computer science (07-08-2023)Get full text
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On the Pre- and Promonoidal Structure of Spacetime
Published in Electronic proceedings in theoretical computer science (07-08-2023)Get full text
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4
Hyper-decoherence in Density Hypercubes
Published in Electronic proceedings in theoretical computer science (06-09-2021)Get full text
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5
CPM Categories for Galois Extensions
Published in Electronic proceedings in theoretical computer science (18-09-2021)Get full text
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Optics for Premonoidal Categories
Published in Electronic proceedings in theoretical computer science (14-12-2023)Get full text
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The Safari of Update Structures: Visiting the Lens and Quantum Enclosures
Published in Electronic proceedings in theoretical computer science (08-02-2021)Get full text
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8
A Profunctorial Semantics for Quantum Supermaps
Published 23-05-2024“…We identify morphisms of strong profunctors as a categorification of quantum supermaps. These black-box generalisations of diagrams-with-holes are hence placed…”
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9
Optics for Premonoidal Categories
Published 14-12-2023“…EPTCS 397, 2023, pp. 152-171 We further the theory of optics or "circuits-with-holes" to encompass premonoidal categories: monoidal categories without the…”
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10
On the Pre- and Promonoidal Structure of Spacetime
Published 31-07-2023“…EPTCS 380, 2023, pp. 284-306 The notion of a joint system, as captured by the monoidal (a.k.a. tensor) product, is fundamental to the compositional,…”
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11
CPM Categories for Galois Extensions
Published 13-09-2021“…EPTCS 343, 2021, pp. 165-192 By considering a generalisation of the CPM construction, we develop an infinite hierarchy of probabilistic theories, exhibiting…”
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12
Hyper-decoherence in Density Hypercubes
Published 06-09-2021“…EPTCS 340, 2021, pp. 141-159 We study hyper-decoherence in three operational theories from the literature, all examples of the recently introduced higher-order…”
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13
Coend Optics for Quantum Combs
Published 31-07-2023“…EPTCS 380, 2023, pp. 63-76 We compare two possible ways of defining a category of 1-combs, the first intensionally as coend optics and the second extensionally…”
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14
The Produoidal Algebra of Process Decomposition
Published 27-01-2023“…We introduce the normal produoidal category of monoidal contexts over an arbitrary monoidal category. In the same sense that a monoidal morphism represents a…”
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15
Categories of Semantic Concepts
Published 22-04-2020“…Modelling concept representation is a foundational problem in the study of cognition and linguistics. This work builds on the confluence of conceptual tools…”
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16
The Safari of Update Structures: Visiting the Lens and Quantum Enclosures
Published 26-01-2021“…EPTCS 333, 2021, pp. 1-18 We build upon our recently introduced concept of an update structure to show that it is a generalisation of very-well-behaved lenses,…”
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17
Optimal local unitary encoding circuits for the surface code
Published 06-08-2021“…Quantum 5, 517 (2021) The surface code is a leading candidate quantum error correcting code, owing to its high threshold, and compatibility with existing…”
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