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Updated: Jul 31, 2026
09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Device-independent tests of quantum channels
Michele Dall'Arno1, Sarah Brandsen1, Francesco Buscemi2
1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore.
Proceedings. Mathematical, Physical, and Engineering Sciences
|April 18, 2017
Summary
We created a device-independent framework to test quantum channels by analyzing input-output correlations. This framework characterizes correlations for various quantum channels, including qubit and commutativity-preserving types.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Communication
Background:
- Quantum channel characterization is crucial for quantum information processing.
- Device-independent frameworks offer robust testing against device imperfections.
- Understanding input-output correlations is key to channel verification.
Purpose of the Study:
- To develop a device-independent framework for testing quantum channels.
- To characterize the set of input-output correlations compatible with any quantum channel.
- To provide a full, closed-form characterization for specific classes of quantum channels.
Main Methods:
- Falsifying hypotheses about quantum channels based solely on observed input-output correlations.
- Analyzing binary (two-symbol) correlations and extremal cases.
- Deriving closed-form characterizations for dihedrally covariant qubit channels and universally-covariant commutativity-preserving channels.
Main Results:
- Extremal binary correlations are achieved by orthogonal encodings and measurements, regardless of commutativity preservation.
- Full characterization of binary correlations for dihedrally covariant qubit channels (e.g., Pauli, amplitude-damping).
- Full characterization of binary correlations for universally-covariant commutativity-preserving channels (e.g., erasure, depolarizing).
Conclusions:
- The developed framework enables device-independent testing of quantum channels.
- The study provides a comprehensive mathematical description of correlations for important channel classes.
- This work advances the understanding and verification of quantum information processing devices.
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