Versatile Fidelity Estimation with Confidence
Akshay Seshadri1, Martin Ringbauer2, Jacob Spainhour3
1Department of Physics, <a href="https://ror.org/02ttsq026">University of Colorado Boulder</a>, Boulder 0309-0390, USA.
Physical Review Letters
|July 29, 2024
Summary
We developed a new method to accurately estimate quantum state fidelity, crucial for verifying complex quantum devices. This approach offers reliable confidence intervals and is compatible with various measurement techniques.
Area of Science:
- Quantum Information Science
- Quantum Computing Verification
Background:
- Increasing complexity of quantum devices necessitates reliable performance verification.
- Quantifying the closeness of experimental quantum states to target states is a key challenge.
Purpose of the Study:
- To present a novel method for constructing a quantum state fidelity estimator.
- To ensure the estimator is compatible with any measurement protocol and provides reliable confidence intervals.
Main Methods:
- Developed a fidelity estimator compatible with arbitrary measurement protocols.
- Derived a nearly minimax optimal confidence interval for the fidelity estimator.
- Validated the method using simulations and experimental data from a trapped-ion quantum computer.
Main Results:
- The fidelity estimator is compatible with any measurement protocol.
- The confidence interval is guaranteed to be nearly minimax optimal.
- The method demonstrates competitiveness in measurement outcome requirements for specific schemes.
Conclusions:
- The presented method offers a scalable and reliable approach to quantum state fidelity estimation.
- The technique can be extended to estimate expectation values of other observables, like entanglement witnesses.
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