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Experimental Demonstration of Scalable Cross-Entropy Benchmarking to Detect Measurement-Induced Phase Transitions on
Hirsh Kamakari1, Jiace Sun1, Yaodong Li2
1California Institute of Technology, Division of Engineering and Applied Science, Pasadena, CA 91125, USA.
Physical Review Letters
|April 11, 2025
Summary
Researchers demonstrate a new, scalable method using cross-entropy to detect entanglement phase transitions in quantum systems. This approach avoids complex measurements, enabling studies on larger quantum computers.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Quantum Computing
Background:
- Entanglement phase transitions in quantum systems are influenced by random measurements.
- Traditional characterization methods like entanglement entropy are computationally expensive and not scalable for near-term quantum devices.
- Existing methods require quantum state tomography and postselection, limiting system size and experimental feasibility.
Purpose of the Study:
- To demonstrate a scalable protocol for detecting entanglement phase transitions using linear cross entropy.
- To overcome the limitations of entanglement entropy-based characterization, particularly the need for postselection.
- To enable the study of measurement-induced entanglement phase transitions in larger quantum systems.
Main Methods:
- Implementation of the linear cross-entropy benchmark (XEB) protocol on IBM quantum hardware.
- Experimental setup involved quantum systems with one-dimensional and all-to-all connectivities.
- Utilized systems with up to 22 qubits, a scale previously inaccessible with postselection requirements.
Main Results:
- Successful demonstration of data collapses onto theoretical scaling functions.
- Observed critical exponents in semiquantitative agreement with theoretical predictions.
- Showcased the feasibility of the XEB protocol on current quantum hardware for systems up to 22 qubits.
Conclusions:
- The cross-entropy benchmark protocol is a viable and scalable method for detecting entanglement phase transitions.
- This demonstration opens new avenues for studying complex quantum phenomena in larger, near-term quantum systems.
- The findings pave the way for future research into measurement-induced entanglement and critical phenomena in quantum computing.
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