Contextuality as a resource for measurement-based quantum computation beyond qubits
In: New Journal of Physics, Jg. 20 (2018), Heft 10, S. 103011-103011
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Zugriff:
Contextuality—the obstruction to describing quantum mechanics in a classical statistical way—has been proposed as a resource that powers quantum computing. The measurement-based model provides a concrete manifestation of contextuality as a computational resource, as follows. If local measurements on a multi-qubit state can be used to evaluate nonlinear boolean functions with only linear control processing, then this computation constitutes a proof of strong contextuality—the possible local measurement outcomes cannot all be pre-assigned. However, this connection is restricted to the special case when the local measured systems are qubits , which have unusual properties from the perspective of contextuality. A single qubit cannot allow for a proof of contextuality, unlike higher-dimensional systems, and multiple qubits can allow for state-independent contextuality with only Pauli observables, again unlike higher-dimensional generalisations. Here we identify precisely that strong non-locality is necessary in a qudit measurement-based computation (MBC) that evaluates high-degree polynomial functions with only linear control. We introduce the concept of local universality , which places a bound on the space of output functions accessible under the constraint of single-qudit measurements. Thus, the partition of a physical system into subsystems plays a crucial role for the increase in computational power. A prominent feature of our setting is that the enabling resources for qubit and qudit MBC are of the same underlying nature, avoiding the pathologies associated with qubit contextuality.
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Contextuality as a resource for measurement-based quantum computation beyond qubits
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Autor/in / Beteiligte Person: | Frembs, Markus ; Roberts, Sam ; Stephen D Bartlett |
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Zeitschrift: | New Journal of Physics, Jg. 20 (2018), Heft 10, S. 103011-103011 |
Veröffentlichung: | IOP Publishing, 2018 |
Medientyp: | academicJournal |
ISSN: | 1367-2630 (print) |
DOI: | 10.1088/1367-2630/aae3ad |
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