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Experimental test of the quantum no-hiding theorem
Jharana Rani Samal1, Arun K Pati, Anil Kumar
1Department of Physics and NMR Research Centre, Indian Institute of Science, Bangalore, India.
Physical Review Letters
|March 17, 2011
Summary
Quantum information bleaching is tested experimentally. The no-hiding theorem is confirmed, showing lost quantum information is recoverable in a nuclear magnetic resonance experiment.
Area of Science:
- Quantum Information Theory
- Quantum Mechanics
- Experimental Physics
Background:
- The no-hiding theorem posits that quantum information is never truly lost during a physical process.
- Any apparent loss of quantum information from a system implies its presence in the correlations with the rest of the universe.
- This principle is crucial for understanding information dynamics in quantum systems.
Purpose of the Study:
- To experimentally verify the no-hiding theorem.
- To demonstrate the recoverability of quantum information that appears to be bleached from a system.
- To explore the implications of the no-hiding theorem in a practical quantum system.
Main Methods:
- Utilizing nuclear magnetic resonance (NMR) techniques for quantum state manipulation.
- Implementing a quantum state randomization of a single qubit as a model for information bleaching.
- Developing protocols to recover the 'hidden' quantum information from ancilla qubits.
Main Results:
- Successfully demonstrated an experimental test of the no-hiding theorem.
- Showed that quantum information subjected to a bleaching process (state randomization) can be fully recovered.
- Confirmed that the missing information resides in the correlations with ancilla qubits, accessible via local unitary transformations.
Conclusions:
- The experimental results strongly support the no-hiding theorem.
- Quantum information is conserved, even when seemingly lost through bleaching processes.
- NMR provides a viable platform for testing fundamental principles of quantum information theory.
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