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Test One to Test Many: A Unified Approach to Quantum Benchmarks
Ge Bai1, Giulio Chiribella2,1
1Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong 999077, China and HKU Shenzhen Institute of Research and Innovation, Yuexing 2nd Rd Nanshan, Shenzhen 518057, China.
Physical Review Letters
|May 15, 2018
Summary
Researchers developed a new method to accurately benchmark quantum information protocols using coherent states. This technique simplifies validation by indirectly probing average fidelity with minimal experimental setup.
Area of Science:
- Quantum Information Science
- Quantum Optics
- Experimental Quantum Physics
Background:
- Quantum benchmarks are crucial for validating quantum information protocols.
- Testing with finite subsets of infinite input states can lead to inaccurate, higher benchmark values.
- This issue is prevalent in protocols like coherent state teleportation and storage, where the 50% fidelity benchmark is often misleading.
Purpose of the Study:
- To propose a method for accurately benchmarking quantum information protocols involving infinite sets of input states.
- To enable rigorous experimental validation of quantum teleportation, storage, amplification, attenuation, and purification of coherent states.
- To demonstrate that any quantum benchmark can be tested using a single entangled state and observable measurement.
Main Methods:
- Indirectly probing the average fidelity over all coherent states using a simplified experimental setup.
- The setup requires only two-mode squeezing, a 50-50 beam splitter, and homodyne detection.
- Proving that preparing a single entangled state and measuring a single observable is sufficient for testing any quantum benchmark.
Main Results:
- A method is presented to indirectly measure the average fidelity over all coherent states, overcoming the limitations of finite subset testing.
- The proposed experimental setup is shown to be effective for validating various quantum information protocols.
- A general theoretical result proves that all quantum benchmarks can be assessed through a single entangled state and observable.
Conclusions:
- The developed method provides a rigorous and practical approach to experimentally validate quantum information protocols.
- This work simplifies the benchmarking process, making it more reliable for implementations involving infinite state sets.
- The findings offer a universal strategy for testing quantum benchmarks, applicable across diverse quantum information tasks.
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