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Imprinting complete information about a quantum channel on its output state
Giacomo Mauro D'Ariano1, Paoloplacido Lo Presti
1Quantum Optics and Information Group, Istituto Nazionale di Fisica della Materia, Unità di Pavia and Dipartimento di Fisica A. Volta, via Bassi 6, I-27100 Pavia, Italy. dariano@unipv.it
Physical Review Letters
|August 9, 2003
Summary
We introduce a novel property of bipartite quantum states called faithfulness. A state is faithful if it completely imprints information about a quantum channel acting on one system.
Area of Science:
- Quantum Information Science
- Quantum State Characterization
Background:
- Bipartite quantum states are fundamental in quantum information.
- Understanding how quantum channels affect states is crucial for quantum information processing.
Purpose of the Study:
- Introduce and define a new property of bipartite quantum states: faithfulness.
- Extend the concept of faithfulness to sets of quantum states.
- Propose measures for quantifying the degree of faithfulness.
Main Methods:
- Definition of faithfulness for a single bipartite quantum state.
- Extension of faithfulness to sets of bipartite quantum states.
- Development of quantitative measures for faithfulness.
Main Results:
- A novel property, faithfulness, is defined for bipartite quantum states.
- Faithfulness ensures complete information transfer about a quantum channel.
- The concept is generalized to sets of states, enabling channel imprinting.
- Measures for the degree of faithfulness are proposed.
Conclusions:
- Faithfulness provides a new way to characterize bipartite quantum states.
- This property has implications for quantum channel estimation and state discrimination.
- The proposed measures allow for quantification of information imprinted by channels.