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Contextuality supplies the ‘magic’ for quantum computation [PDF]
Nature, 2014 Quantum computers promise dramatic advantages over their classical counterparts, but the answer to the most basic question "What is the source of the power in quantum computing?" has remained elusive. Here we prove a remarkable equivalence between the onset of contextuality and the possibility of universal quantum computation via magic state ...
Mark Howard +2 more
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Contextuality-by-Default Description of Bell Tests: Contextuality as the Rule and Not as an Exception [PDF]
Entropy, 2021 Contextuality and entanglement are valuable resources for quantum computing and quantum information. Bell inequalities are used to certify entanglement; thus, it is important to understand why and how they are violated.
Marian Kupczynski
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Contextuality of Quantum Error-Correcting Codes
PRX QuantumFault-tolerant quantum computation requires quantum error correction (QEC), which relies on entanglement to protect information from local noise. Achieving universality, however, demands overcoming the Eastin-Knill theorem.
Derek Khu +3 more
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Contextuality as a Precondition for Quantum Entanglement
Physical Review LettersQuantum theory features several phenomena which can be considered as resources for information processing tasks. Some of these effects, such as entanglement, arise in a nonlocal scenario, where a quantum state is distributed between different parties.
Martin Plávala, Otfried Gühne
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On the Quantum-like Contextuality of Ambiguous Phrases [PDF]
CoRR, 2021 Language is contextual as meanings of words are dependent on their contexts. Contextuality is, concomitantly, a well-defined concept in quantum mechanics where it is considered a major resource for quantum computations. We investigate whether natural language exhibits any of the quantum mechanics' contextual features.
Daphne Wang +3 more
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Topological Contextuality and Anyonic Statistics of Photonic-Encoded Parafermions
PRX Quantum, 2021 Quasiparticle poisoning, expected to arise during the measurement of the Majorana zero-mode state, poses a fundamental problem for the realization of Majorana-based quantum computation.
Zheng-Hao Liu +15 more
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Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem [PDF]
Quantum, 2020 Kochen-Specker (KS) theorem reveals the inconsistency between quantum theory and any putative underlying model of it satisfying the constraint of KS-noncontextuality.
Ravi Kunjwal
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State-independent test of quantum contextuality with either single photons or coherent light
npj Quantum Information, 2021 Contextuality is a phenomenon at the heart of quantum mechanics different from classical behavior and has been recently identified as a resource in quantum information processing. Experimental demonstration of contextuality is thus an important goal.
Dengke Qu +4 more
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Classifying Space for Quantum Contextuality [PDF]
Annales Henri Poincaré, 2021 We construct a topological space to study contextuality in quantum mechanics. The resulting space is a classifying space in the sense of algebraic topology. Cohomological invariants of our space correspond to physical quantities relevant to the study of contextuality.
Okay, Cihan, Sheinbaum, Daniel
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Bounding and Simulating Contextual Correlations in Quantum Theory
PRX Quantum, 2021 We introduce a hierarchy of semidefinite relaxations of the set of quantum correlations in generalized contextuality scenarios. This constitutes a simple and versatile tool for bounding the magnitude of quantum contextuality.
Armin Tavakoli +3 more
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