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Probing Rényi entanglement entropy via randomized measurements
Tiff Brydges1,2, Andreas Elben1,2, Petar Jurcevic1,2
1Center for Quantum Physics and Institute for Experimental Physics, University of Innsbruck, Innsbruck, Austria.
Science (New York, N.Y.)
|April 20, 2019
Summary
Researchers developed a new method to measure quantum entanglement using randomized measurements. This technique probes entanglement in many-body quantum systems, revealing system dynamics and entanglement growth in trapped-ion simulators.
Area of Science:
- Quantum Information Science
- Many-Body Quantum Systems
- Quantum Simulation
Background:
- Entanglement is a fundamental property of complex quantum systems.
- Measuring entanglement entropy is crucial for understanding quantum states.
- Existing methods for entropy measurement can be challenging for large systems.
Purpose of the Study:
- To present and experimentally demonstrate a novel protocol for measuring second-order Rényi entropy.
- To utilize statistical correlations from randomized measurements for entanglement characterization.
- To probe the entanglement structure and dynamics of many-body quantum systems.
Main Methods:
- Development of a protocol based on statistical correlations of randomized measurements.
- Experimental implementation using a trapped-ion quantum simulator.
- Application to systems with partition sizes up to 10 qubits.
Main Results:
- Successful measurement of second-order Rényi entropy.
- Demonstration of the coherent character of system dynamics.
- Observation of entanglement growth between system partitions, with and without disorder.
Conclusions:
- The developed protocol is a universal tool for characterizing engineered quantum systems.
- The method is applicable to arbitrary quantum states up to several tens of qubits.
- Provides insights into entanglement structure and dynamics in complex quantum simulators.
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