Comparing two cohomological obstructions for contextuality, and a generalised construction of quantum advantage with shallow circuits

Comparing two cohomological obstructions for contextuality, and a generalised construction of quantum advantage with shallow circuits

We present two results on the subject of quantum contextuality and cohomology, and non-locality and quantum advantage with shallow circuits. Abramsky et al. showed that a range of examples of quantum contextuality is detected by a cohomological invariant based on Čech cohomology. However, the approa...

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Bibliografiske detaljer
Hovedforfatter:	Aasnaess, S
Format:	Thesis
Sprog:	English
Udgivet:	2021
Fag:	Quantum computing

Lignende værker

Anomaly cancellation by generalised cohomology
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Udgivet: (2017-01-01)

Statistical Signatures of Quantum Contextuality
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Contextuality‚ cohomology and paradox
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Udgivet: (2015)

Contextuality‚ Cohomology and Paradox
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Udgivet: (2015)

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Udgivet: (2021-01-01)

Unconditional quantum magic advantage in shallow circuit computation
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Shallow-Depth Quantum Circuit for Unstructured Database Search
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Udgivet: (2024-01-01)

Tangency quantum cohomology and characteristic numbers
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Udgivet: (2001-09-01)

Towards the Quantum Internet: Generalised Quantum Network Coding for Large-Scale Quantum Communication Networks
af: Hung Viet Nguyen, et al.
Udgivet: (2017-01-01)

The Cohomology of Non−locality and Contextuality
af: Abramsky, S, et al.
Udgivet: (2011)

The cohomology of non−locality and contextuality
af: Abramsky, S, et al.
Udgivet: (2012)

Exploiting coherence for quantum thermodynamic advantage
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Udgivet: (2022-01-01)

Use of global interactions in efficient quantum circuit constructions
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Udgivet: (2018-01-01)

Quantum Simulation Logic, Oracles, and the Quantum Advantage
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Udgivet: (2019-08-01)

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Udgivet: (2023-09-01)

Relation Between Quantum Advantage in Supervised Learning and Quantum Computational Advantage
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Udgivet: (2024-01-01)

Contextual measurement model and quantum theory
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Udgivet: (2024-03-01)

Predicting quantum advantage by quantum walk with convolutional neural networks
af: Alexey A Melnikov, et al.
Udgivet: (2019-01-01)

Contextuality, coherences, and quantum Cheshire cats
af: Jonte R Hance, et al.
Udgivet: (2023-01-01)

Quantum Computing: Circuits, Algorithms, and Applications
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Udgivet: (2024-01-01)

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Udgivet: (2021-01-01)

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Udgivet: (2023-01-01)

Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology
af: Stefan Hollands
Udgivet: (2009-09-01)

Quantum geometric machine learning for quantum circuits and control
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Udgivet: (2020-01-01)

Quantum circuits cannot control unknown operations
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Udgivet: (2014-01-01)

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af: Takagi, Ryuji, et al.
Udgivet: (2019)

Circuit of Quantum Fractional Fourier Transform
af: Tieyu Zhao, et al.
Udgivet: (2023-10-01)

Testing and Debugging Quantum Circuits
af: Sara Ayman Metwalli, et al.
Udgivet: (2024-01-01)

Quantum circuit simulation of superchannels
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Udgivet: (2023-01-01)

Experimental simulation of a monogamy relation between quantum contextuality and nonlocality on an NMR quantum processor
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Udgivet: (2022-06-01)

Provably unbounded memory advantage in stochastic simulation using quantum mechanics
af: Garner, Andrew J. P., et al.
Udgivet: (2018)

Quantum advantages in random access codes
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Udgivet: (2024-01-01)

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Udgivet: (2023-01-01)

A universal quantum circuit design for periodical functions
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Udgivet: (2021-01-01)

Computation in generalised probabilisitic theories
af: Ciarán M Lee, et al.
Udgivet: (2015-01-01)

Optimal Classical Simulation of State-Independent Quantum Contextuality
af: Cabello, Adán, et al.
Udgivet: (2018)

Phase-matching quantum key distribution with advantage distillation
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Udgivet: (2022-01-01)

Realising and compressing quantum circuits with quantum reservoir computing
af: Ghosh, Sanjib, et al.
Udgivet: (2021)