TY  - JOUR
A1  - Eisert, Jens
A1  - Plenio, M. B.
T1  - A comparison of entanglement measures
N2  - We compare the entanglement of formation with a measure defined as the modulus of the negative eigenvalue of the partial transpose. In particular we investigate whether both measures give the same ordering of density perators with respect to the amount of entanglement.
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Wilkens, Martin
A1  - Lewenstein, Maciej
T1  - Quantum Games and Quantum Strategies
N2  - We investigate the quantization of nonzero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also construct a particular quantum strategy which always gives reward if played against any classical strategy.
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Jacobs, K.
A1  - Plenio, M. B.
A1  - Papadopolous, P.
T1  - Optimal local implementation of nonlocal quantum gates
Y1  - 2000
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Wilkens, Martin
T1  - Catlysis of Entanglement Manipulation for Mixed States
N2  - We consider entanglement-assisted remote quantum state manipulation of bipartite mixed states. Several aspects are addressed: we present a class of mixed states of rank two that can be transformed into another class of mixed states under entanglement-assisted local operations with classical communication, but for which such a transformation is impossible without assistance. Furthermore, we demonstrate enhancement of the efficiency of purification protocols with the help of entanglement-assisted operations. Finally, transformations from one mixed state to mixed target states which are sufficiently close to the source state are contrasted with similar transformations in the pure-state case.
Y1  - 2000
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Wilkens, Martin
T1  - Quantum games
N2  - In these lecture notes we investigate the implications of the identification of strategies with quantum operations in game theory beyond the results presented in [J. Eisert, M. Wilkens, and M. Lewenstein, Phys. Rev. Lett. 83, 3077 (1999)]. After introducing a general framework, we study quantum games with a classical analogue in order to flesh out the peculiarities of game theoretical settings in the quantum domain. Special emphasis is given to a detailed investigation of different sets of quantum strategies.
Y1  - 2000
UR  - http://xxx.lanl.gov/abs/quant-ph/0004076
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Felbinger, Timo
A1  - Papadopolous, P.
A1  - Plenio, M. B.
A1  - Wilkens, Martin
T1  - Classical information and distillable entanglement
N2  - We establish a quantitative connection between the amount of lost classical information about a quantum state and the concomitant loss of entanglement. Using menthods that have been developed for the optimal purification of miced states, we find a class of miced states with known distillable entanglement. These results can be used to determine the quantum capacity of a quantum channel which randomizes the order of transmitted signals.
Y1  - 2000
ER  - 
TY  - THES
A1  - Eisert, Jens
T1  - Entanglement in quantum information theory
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Briegel, Hans J.
T1  - Schmidt measure as a tool for quantifying multiparicle entanglement
N2  - We present a measure of quantum entanglement which is capable of quantifying the degree of entanglement of a multi-partite quantum system. This measure, which is based on a generalization of the Schmidt rank of a pure state, is defined on the full state space and is shown to be an entanglement monotone, that is, it cannot increase under local quantum operations with classical communication and under mixing. For a large class of mixed states this measure of entanglement can be calculated exactly, and it provides a detailed classification of mixed states.
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Audenaert, Katrien
A1  - Eisert, Jens
A1  - Jane, E.
A1  - Plenio, M. B.
A1  - Virmani, S.
A1  - Moor, B. D.
T1  - The asymptotic relative entropy of entanglement
N2  - We present an analytical formula for the asymptotic relative entropy of entanglement for Werner states of arbitrary dimensionality. We then demonstrate its validity using methods from convex optimization. This is the first case in which the value of a subadditive entanglement measure has been obtained in the asymptotic limit. This formula also gives the sharpest known upper bound on the distillable entanglement of these states.
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Briegel, Hans J.
T1  - Quantification of Multi-Particle Entanglement
Y1  - 2001
ER  -