General teleportation channel, singlet fraction and quasi-distillation

@article{Horodecki1998GeneralTC,
  title={General teleportation channel, singlet fraction and quasi-distillation},
  author={Paweł Horodecki and Michal Horodecki and Ryszard Horodecki},
  journal={arXiv: Quantum Physics},
  year={1998}
}
We prove a theorem on direct relation between the optimal fidelity $f_{max}$ of teleportation and the maximal singlet fraction $F_{max}$ attainable by means of trace-preserving LQCC action (local quantum and classical communication). For a given bipartite state acting on $C^d\otimes C^d$ we have $f_{max}= {F_{max}d+1\over d+1}$. We assume completely general teleportation scheme (trace preserving LQCC action over the pair and the third particle in unknown state). The proof involves the… 

Figures from this paper

Optimal fidelity for qubit channels

TLDR
The answer to the above question immediately gives us the optimal teleportation fidelity for a quantum channel, which is the maximum fidelity of an entangled state that the authors can possibly prepare by means of trace preserving local operations (TP LOCC).

Recovery With Incomplete Knowledge: Fundamental Bounds on Real-Time Quantum Memories

TLDR
Information-theoretic characterizations of the incomplete knowledge of the noise parameter to the lower bound are provided, using both diamond distance and quantum Fisher information, and fundamental bounds for multi-cycle recovery in the form of recurrence inequalities are provided.

Catalysis of entanglement and other quantum resources

In chemistry, a catalyst is a substance which enables a chemical reaction or increases its rate, while remaining unchanged in the process. Instead of chemical reactions, quantum catalysis enhances

Absolute fully entangled fraction from spectrum

Fully entangled fraction (FEF) is a significant figure of merit for density matrices. In bipartite d ⊗ d quantum systems, the threshold value FEF > 1 /d , carries significant implications for quantum

Stimulated teleportation of high-dimensional information with a nonlinear spatial mode detector

Bereneice Sephton, Adam Vallés, 2, 3, ∗ Isaac Nape, Mitchell A. Cox, Fabian Steinlechner, 6 Thomas Konrad, 8 Juan P. Torres, 9 Filippus S. Roux, and Andrew Forbes † School of Physics, University of

Activating hidden teleportation power: Theory and experiment

Ideal quantum teleportation transfers an unknown quantum state intact from one party Alice to the other Bob via the use of a maximally entangled state and the communication of classical information.

Optimal two-qubit states for quantum teleportation vis-à-vis state properties

Quantum teleportation with a two-qubit state can be suitably characterized in terms of maximal fidelity and fidelity deviation, where the former is the maximal value of the average fidelity

Quantum superreplication of states and gates

TLDR
It is shown that when quantum superreplication can be achieve, it can be achieved through estimation up to an error of size O(M/N2), where N and M are the number of input and output copies, respectively.

Generalized form of optimal teleportation witnesses

TLDR
A generalized form of optimal teleportation witness is proposed to demonstrate their importance in experimental detection of the larger set of entangled states useful for teleportation in higher dimensional systems and shows that teleportation witness can be used to characterize mixed state entanglement using Schmidt numbers.
...

References

for experi m ental real i sati on see D . B ouw m eester

  • Phys. R ev. Lett
  • 1993