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Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit.
Zack Weinstein1, Yimu Bao1, Ehud Altman1,2
1Department of Physics, University of California, Berkeley, California 94720, USA.
Physical Review Letters
|September 2, 2022
Summary
Measurements can preserve quantum entanglement in open quantum systems. Projective measurements at a steady rate stabilize entanglement, showing an L^{1/3} power-law scaling, linked to Kardar-Parisi-Zhang fluctuations.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Open quantum systems typically lose entanglement due to environmental decoherence.
- Entanglement is crucial for quantum computation and understanding complex quantum phenomena.
Purpose of the Study:
- To investigate if measurements can stabilize quantum entanglement in open quantum systems.
- To characterize the entanglement scaling and phase transitions under measurement.
Main Methods:
- Numerical simulations of random unitary circuits with boundary dephasing.
- Analytical techniques including mapping to statistical mechanics models.
- Analysis of entanglement negativity scaling with system size.
Main Results:
- Projective measurements at a non-zero rate stabilize entanglement, exhibiting L^{1/3} power-law scaling.
- This scaling is attributed to Kardar-Parisi-Zhang fluctuations arising from random measurement locations.
- An increasing measurement rate induces a phase transition to an area-law entanglement phase.
Conclusions:
- Measurements can act as a resource to preserve quantum entanglement against decoherence.
- The study reveals a connection between quantum entanglement dynamics and Kardar-Parisi-Zhang universality classes.
- The findings offer insights into quantum error correction and the behavior of monitored quantum systems.
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