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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quantum Circuits Assisted by Local Operations and Classical Communication: Transformations and Phases of Matter
Lorenzo Piroli1,2, Georgios Styliaris1,2, J Ignacio Cirac1,2
1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
Physical Review Letters
|December 10, 2021
Summary
We developed new quantum protocols for transforming many-body quantum states using shallow circuits and local classical communication. This approach reclassifies entangled states, revealing new quantum phases and simplifying complex quantum computations.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Quantum Computing
Background:
- Understanding quantum phases of matter is crucial for quantum computing.
- Topologically ordered states and entangled states are key areas of research.
- Current methods for state transformation can be resource-intensive.
Purpose of the Study:
- To introduce novel deterministic state-transformation protocols for many-body quantum systems.
- To explore a new classification of quantum phases enabled by these protocols.
- To investigate the enhancement of quantum operations using local classical communication.
Main Methods:
- Development of low-depth quantum circuits for state transformation.
- Integration of local operations and classical communication (LOCC).
- Analysis of the resulting classification of quantum phases.
Main Results:
- Demonstrated protocols for deterministic state transformation between many-body quantum states.
- Showcased that topologically ordered and entangled states can become trivial under these protocols.
- Revealed an enhancement of unitary operations, enabling large-depth circuits via low-depth ones.
Conclusions:
- The proposed protocols offer a new framework for understanding and manipulating quantum states.
- This work provides a novel perspective on quantum phase classification.
- LOCC significantly enhances the capabilities of quantum circuits, with implications for quantum computation efficiency.
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