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Volume-Law Protection of Metrological Advantage
Piotr Wysocki1, Jan Chwedeńczuk2, Marcin Płodzień3
1University of Innsbruck, Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria and Institute for Theoretical Physics, 6020 Innsbruck, Austria.
Physical Review Letters
|July 31, 2026
Summary
Quantum scrambling protects metrological precision from particle loss by dispersing information into many-body correlations. A sharp threshold shows majority subsystems retain precision, unlike minority ones, in the large-system limit.
Area of Science:
- Quantum Metrology
- Quantum Information Theory
- Many-Body Physics
Background:
- Entanglement enhances metrological precision beyond the standard quantum limit.
- Particle loss typically degrades this quantum advantage.
- Scrambling is a process that spreads quantum information widely.
Purpose of the Study:
- To investigate if quantum scrambling can safeguard metrological precision against particle loss.
- To analytically quantify the impact of particle loss on precision in scrambled quantum systems.
Main Methods:
- Derivation of analytical expressions for quantum Fisher information after particle loss.
- Analysis of Haar-random scrambling unitaries.
- Connecting precision loss to entanglement properties (area-law vs. volume-law) and Schmidt rank.
Main Results:
- Scrambling protects metrological precision by dispersing information into many-body correlations.
- A sharp threshold behavior is observed: majority subsystems retain precision, while minority subsystems lose it.
- This threshold is linked to a transition in entanglement structure and Schmidt rank growth.
Conclusions:
- Quantum scrambling offers a robust method to maintain high metrological precision even with significant particle loss.
- The findings highlight the interplay between scrambling, entanglement, and information preservation in quantum systems.
- Practical realizations using brickwork circuits or chaotic XX-chain evolution can implement these scrambling protocols.
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