WorldCat Identities

Kleinmann, Matthias

Works: 6 works in 8 publications in 2 languages and 26 library holdings
Roles: Author
Publication Timeline
Most widely held works by Matthias Kleinmann
Discrimination of mixed quantum states reversible maps and unambiguous strategies by Matthias Kleinmann( )

2 editions published in 2008 in English and held by 19 WorldCat member libraries worldwide

De coeco in Gallia mortis causa donante by Matthias Kleinmann( Book )

2 editions published in 1769 in Latin and held by 3 WorldCat member libraries worldwide

Optimal Inequalities for State-Independent Contextuality by Matthias Kleinmann( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

Contextuality is a natural generalization of nonlocality which does not need composite systems or spacelike separation and offers a wider spectrum of interesting phenomena. Most notably, in quantum mechanics there exist scenarios where the contextual behavior is independent of the quantum state. We show that the quest for an optimal inequality separating quantum from classical noncontextual correlations in a state-independent manner admits an exact solution, as it can be formulated as a linear program. We introduce the noncontextuality polytope as a generalization of the locality polytope and apply our method to identify two different tight optimal inequalities for the most fundamental quantum scenario with state-independent contextuality
Quantum state-independent contextuality requires 13 rays( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

Abstract: We show that, regardless of the dimension of the Hilbert space, there exists no set of rays revealing state-independent contextuality with less than 13 rays. This implies that the set proposed by Yu and Oh in dimension three (2012 Phys. Rev. Lett. 108 030402) is actually the minimal set in quantum theory. This contrasts with the case of Kochen-Specker sets, where the smallest set occurs in dimension four
Memory cost of quantum contextuality by Matthias Kleinmann( )

1 edition published in 2011 in English and held by 1 WorldCat member library worldwide

The simulation of quantum effects requires certain classical resources, and quantifying them is an important step to characterize the difference between quantum and classical physics. For a simulation of the phenomenon of state-independent quantum contextuality, we show that the minimum amount of memory used by the simulation is the critical resource. We derive optimal simulation strategies for important cases and prove that reproducing the results of sequential measurements on a two-qubit system requires more memory than the information-carrying capacity of the system
Bounding the quantum dimension with contextuality by Otfried Guehne( )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

We show that the phenomenon of quantum contextuality can be used to certify lower bounds on the dimension accessed by the measurement devices. To prove this, we derive bounds for different dimensions and scenarios of the simplest noncontextuality inequalities. Some of the resulting dimension witnesses work independently of the prepared quantum state. Our constructions are robust against noise and imperfections, and we show that a recent experiment can be viewed as an implementation of a state-independent quantum dimension witness
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.92 (from 0.88 for Quantum st ... to 0.96 for Discrimina ...)

Alternative Names
Matthias Kleinmann researcher

Matthias Kleinmann wetenschapper

English (6)

Latin (2)