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Recovering Quantum Gates from Few Average Gate Fidelities
1Dahlem Center for Complex Quantum Systems, Physics Department, Freie Universität Berlin, D-14195 Berlin, Germany.
Physical Review Letters
|November 10, 2018
Summary
Combining randomized benchmarking and compressed sensing offers an efficient method for characterizing quantum processes. This approach provides guaranteed and practical reconstruction for multiqubit gates and quantum channels, crucial for advancing quantum technologies.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Technology Development
Background:
- Characterizing quantum processes is essential for developing reliable quantum technologies.
- Randomized benchmarking and compressed sensing are existing methods with distinct advantages.
- Current methods face challenges with noise and resource efficiency.
Purpose of the Study:
- To combine the strengths of randomized benchmarking and compressed sensing.
- To develop a practical and guaranteed reconstruction method for quantum processes.
- To improve the efficiency and accuracy of quantum characterization techniques.
Main Methods:
- Utilizing average gate fidelities measured with respect to random Clifford unitaries.
- Developing an explicit expansion of general unital quantum channels into a unitary 2-design.
- Applying compressed sensing principles for efficient data acquisition and reconstruction.
Main Results:
- A rigorously guaranteed and practical reconstruction method for multiqubit unitary gates.
- An efficient method for characterizing general unital quantum channels.
- A novel statistical interpretation of unitarity, a key coherence metric.
Conclusions:
- The combined approach offers optimal resource efficiency for quantum process characterization.
- This work provides practical tools for benchmarking quantum gates and channels.
- The findings contribute to the advancement of noisy intermediate-scale quantum (NISQ) devices.
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