G. Dirr

activity

20072019

C

-Numerical Range and the Local

C

-Numerical Range in Quantum Control and Quantum Information

24 citations · 45 across the 2 of their papers we have counts for

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3 papers · 1 filter

math-ph2018

Unitary Dilations of Discrete-Time Quantum-Dynamical Semigroups

Frederik vom Ende, Gunther Dirr

We show that the discrete-time evolution of an open quantum system generated by a single quantum channel $T$ can be embedded in the discrete-time evolution of an enlarged closed qu…

math-ph2007★ 24 cited

The Significance of the $C$ -Numerical Range and the Local $C$ -Numerical Range in Quantum Control and Quantum Information

Thomas Schulte-Herbrueggen, Gunther Dirr, Uwe Helmke +1

This paper shows how C-numerical-range related new strucures may arise from practical problems in quantum control--and vice versa, how an understanding of these structures helps to…

math-ph2007★ 21 cited

Relative $C$ "-Numerical Ranges for Applications in Quantum Control and Quantum Information

G. Dirr, U. Helmke, M. Kleinsteuber +1

Motivated by applications in quantum information and quantum control, a new type of $C$ "-numerical range, the relative $C$ "-numerical range denoted $W_{K} (C, A)$ , is introduced. It ar…

Unitary Dilations of Discrete-Time Quantum-Dynamical Semigroups

The Significance of the C-Numerical Range and the Local C-Numerical Range in Quantum Control and Quantum Information

Relative C"-Numerical Ranges for Applications in Quantum Control and Quantum Information

The Significance of the $C$ -Numerical Range and the Local $C$ -Numerical Range in Quantum Control and Quantum Information

Relative $C$ "-Numerical Ranges for Applications in Quantum Control and Quantum Information