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20182026
most citedContextuality as a resource for measurement-based quantum computation beyond qubits

44 citations · 71 across the 16 of their papers we have counts for

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quant-ph2026

The parliament of observers - Against the observable axiom of quantum mechanics

Markus Frembs, Andreas Döring

The 'unreasonable effectiveness of mathematics in the natural sciences' may at times give the impression that natural science, especially modern theoretical physics, is all but a f…

quant-ph2026

A complete classification of the existence of finite-dimensional quantum solutions to inconsistent linear constraint systems

Markus Frembs

Linear constraint systems (LCS) provide a compact algebraic language for nonlocal games and state-independent contextuality. In the binary case the Mermin--Peres square shows that…

quant-ph2026

Contextuality in the -qubit Pauli group

Markus Frembs

The -qubit Pauli group is an essential ingredient to most quantum applications, from computing and error correction to benchmarking and simulation. Despite comprising merely a d…

quant-ph2026

Unextendible stabiliser bases

Markus Frembs

We study incomplete sets of orthogonal stabiliser states that cannot be extended by a further stabiliser state orthogonal to all of its members. Such sets are the stabiliser analog…

quant-ph2026

Maximal complementarity in the n-qubit Pauli group

Markus Frembs, Giovanni Natale, Christopher S. P. Wever +1

Observables in quantum mechanics are generally complementary, that is, they reveal mutually incompatible pieces of information about a given system. This property is not only a fun…

quant-ph2026

An algebraically closed family of informational n-qubit purity invariants

Markus Frembs, Giovanni Natale, Christopher S. P. Wever +1

We present a family of quadratics in Pauli expectation values, and prove that they constitute state-independent invariants for all n-qubit pure states. This family generalises the…

quant-ph2026

No quantum solutions to linear constraint systems from monomial measurement-based quantum computation in odd prime dimension

Markus Frembs, Cihan Okay, Ho Yiu Chung

We combine the study of resources in measurement-based quantum computation (MBQC) with that of quantum solutions to linear constraint systems (LCS). Contextuality of the input stat…