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Updated: May 15, 2025
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Certification of genuinely entangled subspaces of the five qubit code via robust self-testing
Yu Guo1,2, Hao Tang1,2, Jiaxuan Zhang1,2
1Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, People's Republic of China.
Summary
This study uses self-testing to verify genuinely entangled logical subspaces in quantum error correction codes. This device-independent method works for both photonic and superconducting quantum systems.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Error Correction
Background:
- Self-testing offers a device-independent method to certify quantum properties using input-output statistics.
- Logical subspaces of stabilizer quantum error correction codes are known to host genuinely multipartite entangled states.
- Device-independent tools are needed to characterize these complex entangled subspaces.
Purpose of the Study:
- To leverage self-testing techniques for certifying genuinely entangled logical subspaces within the five-qubit code.
- To demonstrate the feasibility of this approach on both photonic and superconducting quantum platforms.
- To extend device-independent certification beyond simple quantum states and measurements.
Main Methods:
- Preparation of informationally complete logical states.
- Simulation of Pauli errors on physical qubits.
- Testing of stabilizer-formalized Bell inequalities.
Main Results:
- Successful certification of genuinely entangled logical subspaces in the five-qubit code.
- Achieved extractability measures of 0.828±0.006 for photonic and 0.621±0.007 for superconducting systems.
- Demonstrated the experimental feasibility of device-independent certification for complex quantum structures.
Conclusions:
- Self-testing can reliably certify genuinely entangled logical subspaces in quantum error correction codes.
- The approach is experimentally viable on different quantum hardware platforms.
- This work expands device-independent certification to more general entangled quantum structures.
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