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Optimal teleportation with a mixed state of two qubits
Frank Verstraete1, Henri Verschelde
1Department of Electrical Engineering (ESAT-SISTA), KULeuven, Leuven, Belgium.
Physical Review Letters
|April 12, 2003
Summary
Researchers optimized quantum teleportation fidelity for mixed two-qubit states using local operations. Entangled states achieve higher fidelity, with maximal fidelity quantifying entanglement destruction.
Area of Science:
- Quantum Information Science
- Quantum Communication
- Quantum Entanglement
Background:
- Mixed quantum states of two qubits are fundamental in quantum information.
- Quantum teleportation fidelity is crucial for reliable quantum communication.
- Local operations assisted by classical communication (LOAC) are practical tools.
Purpose of the Study:
- To derive optimal trace-preserving local operations for maximizing quantum teleportation fidelity with mixed two-qubit states.
- To establish a connection between maximal teleportation fidelity and entanglement measures.
Main Methods:
- Analysis of a single copy of a mixed state of two qubits.
- Derivation of optimal trace-preserving local operations assisted by classical communication.
- Investigation of one-way communication protocols.
Main Results:
- Optimal local operations were derived, implementable via one-way communication.
- A teleportation fidelity greater than 2/3 is achievable for entangled initial states.
- The maximal achievable fidelity serves as an entanglement measure.
Conclusions:
- Local operations can significantly enhance quantum teleportation fidelity for mixed states.
- Maximal teleportation fidelity quantifies the minimum mixing needed to destroy entanglement.
- This work provides insights into quantifying and preserving entanglement.