7 papers
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…
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…
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…
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…
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…
Coming full circle -- A unified framework for Kochen-Specker contextuality
Markus Frembs
Contextuality is a key distinguishing feature between classical and quantum physics. It expresses a fundamental obstruction to describing quantum theory using classical concepts. I…