44 citations · 71 across the 16 of their papers we have counts for
19 papers
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…
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…
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…
An algebraic characterisation of 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…
A Semantics for Counterfactuals in Quantum Causal Models
Ardra Kooderi Suresh, Markus Frembs, Eric G. Cavalcanti
We introduce a formalism for the evaluation of counterfactual queries in the framework of quantum causal models, generalising Pearl's semantics for counterfactuals in classical cau…
Variations on the Choi-Jamiolkowski isomorphism
Markus Frembs, Eric G. Cavalcanti
We address various aspects of a widely used tool in quantum information theory: the Choi-Jamiolkowski isomorphism [A. Jamiolkowski, Rep. Math. Phys., 3, 275 (1972)]. We review diff…
No quantum solutions to linear constraint systems in odd dimension from Pauli group and diagonal Cliffords
Markus Frembs, Cihan Okay, Ho Yiu Chung
Linear constraint systems (LCS) have proven to be a surprisingly prolific tool in the study of non-classical correlations and various related issues in quantum foundations. Many re…
Bipartite entanglement and the arrow of time
Markus Frembs
We provide a new perspective on the close relationship between entanglement and time. Our main focus is on bipartite entanglement, where this connection is foreshadowed both in the…
Gleason's theorem for composite systems
Markus Frembs, Andreas Döring
Gleason's theorem [A. Gleason, J. Math. Mech., \textbf{6}, 885 (1957)] is an important result in the foundations of quantum mechanics, where it justifies the Born rule as a mathema…
From no-signalling to quantum states
Markus Frembs, Andreas Döring
Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. Entanglement breaks bounds on correlations put by Bell…
Hierarchies of resources for measurement-based quantum computation
Markus Frembs, Sam Roberts, Earl T. Campbell +1
For certain restricted computational tasks, quantum mechanics provides a provable advantage over any possible classical implementation. Several of these results have been proven us…
No-signalling, Contextuality, and the Arrow of Time
Markus Frembs, Andreas Döring
Bell's seminal paper shows that some correlations in quantum theory are not reconcilable with hidden variables and the classical notion of locality. Yet, a weaker notion of localit…
Contextuality and the fundamental theorems of quantum mechanics
Andreas Döring, Markus Frembs
Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr and later realised more technically by Kochen and Specker. Isham and Butterfield put cont…
Contextuality as a resource for measurement-based quantum computation beyond qubits
Markus Frembs, Sam Roberts, Stephen D. Bartlett
Contextuality - the obstruction to describing quantum mechanics in a classical statistical way - has been proposed as a resource that powers quantum computing. The measurement-base…