Test one to test many: A unified approach to quantum benchmarks
Quantum benchmarks are routinely used to validate the experimental demonstration of quantum information protocols. Many relevant protocols, however, involve an infinite set of input states, of which only a finite subset can be used to test the quality of the implementation. This is a problem, becaus...
| Main Authors: | , |
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| Format: | Journal article |
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American Physical Society
2018
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| _version_ | 1826292139509678080 |
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| author | Bai, G Chiribella, G |
| author_facet | Bai, G Chiribella, G |
| author_sort | Bai, G |
| collection | OXFORD |
| description | Quantum benchmarks are routinely used to validate the experimental demonstration of quantum information protocols. Many relevant protocols, however, involve an infinite set of input states, of which only a finite subset can be used to test the quality of the implementation. This is a problem, because the benchmark for the finitely many states used in the test can be higher than the original benchmark calculated for infinitely many states. This situation arises in the teleportation and storage of coherent states, for which the benchmark of 50% fidelity is commonly used in experiments, although finite sets of coherent states normally lead to higher benchmarks. Here, we show that the average fidelity over all coherent states can be indirectly probed with a single setup, requiring only two-mode squeezing, a 50-50 beam splitter, and homodyne detection. Our setup enables a rigorous experimental validation of quantum teleportation, storage, amplification, attenuation, and purification of noisy coherent states. More generally, we prove that every quantum benchmark can be tested by preparing a single entangled state and measuring a single observable. |
| first_indexed | 2024-03-07T03:10:05Z |
| format | Journal article |
| id | oxford-uuid:b3e5046a-d655-4591-82d2-7f78b5e74a66 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:10:05Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:b3e5046a-d655-4591-82d2-7f78b5e74a662022-03-27T04:22:24ZTest one to test many: A unified approach to quantum benchmarksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b3e5046a-d655-4591-82d2-7f78b5e74a66Symplectic Elements at OxfordAmerican Physical Society2018Bai, GChiribella, GQuantum benchmarks are routinely used to validate the experimental demonstration of quantum information protocols. Many relevant protocols, however, involve an infinite set of input states, of which only a finite subset can be used to test the quality of the implementation. This is a problem, because the benchmark for the finitely many states used in the test can be higher than the original benchmark calculated for infinitely many states. This situation arises in the teleportation and storage of coherent states, for which the benchmark of 50% fidelity is commonly used in experiments, although finite sets of coherent states normally lead to higher benchmarks. Here, we show that the average fidelity over all coherent states can be indirectly probed with a single setup, requiring only two-mode squeezing, a 50-50 beam splitter, and homodyne detection. Our setup enables a rigorous experimental validation of quantum teleportation, storage, amplification, attenuation, and purification of noisy coherent states. More generally, we prove that every quantum benchmark can be tested by preparing a single entangled state and measuring a single observable. |
| spellingShingle | Bai, G Chiribella, G Test one to test many: A unified approach to quantum benchmarks |
| title | Test one to test many: A unified approach to quantum benchmarks |
| title_full | Test one to test many: A unified approach to quantum benchmarks |
| title_fullStr | Test one to test many: A unified approach to quantum benchmarks |
| title_full_unstemmed | Test one to test many: A unified approach to quantum benchmarks |
| title_short | Test one to test many: A unified approach to quantum benchmarks |
| title_sort | test one to test many a unified approach to quantum benchmarks |
| work_keys_str_mv | AT baig testonetotestmanyaunifiedapproachtoquantumbenchmarks AT chiribellag testonetotestmanyaunifiedapproachtoquantumbenchmarks |