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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Universal Spreading of Conditional Mutual Information in Noisy Random Circuits
Su-Un Lee1, Changhun Oh1,2, Yat Wong1
1Pritzker School of Molecular Engineering, <a href="https://ror.org/024mw5h28">The University of Chicago</a>, Chicago, Illinois 60637, USA.
Physical Review Letters
|December 3, 2024
Summary
Conditional mutual information (CMI) in noisy quantum circuits spreads superlinearly, diverging beyond the light cone due to local noise and scrambling unitaries. This rapid spread follows a universal scaling law in open quantum systems.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Conditional mutual information (CMI) in noiseless quantum circuits spreads linearly within the light cone.
- Open quantum systems are crucial for understanding real-world quantum phenomena.
Purpose of the Study:
- Investigate the evolution of CMI in noisy one-dimensional random quantum circuits.
- Uncover the mechanisms behind CMI spreading in the presence of local noise.
- Identify universal scaling laws for CMI dynamics.
Main Methods:
- Analysis of one-dimensional random circuits with local noise.
- Introduction of a coarse-graining method for analytical treatment.
- Validation through numerical simulations.
Main Results:
- Noisy circuits exhibit superlinear CMI propagation, exceeding the light cone.
- CMI diverges at a critical depth t_{c}∝p^{-1} dependent on error rate p.
- Local noise and scrambling unitaries drive rapid CMI spreading by preserving long-range correlations.
Conclusions:
- Local noise and scrambling unitaries fundamentally alter CMI dynamics in quantum circuits.
- A universal scaling law governs CMI spreading in these open quantum systems.
- The findings offer insights into information propagation in realistic quantum devices.
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