Optimal tests for continuous-variable quantum teleportation and photodetectors
Quantum teleportation is a primitive in several important applications, including quantum communication, quantum computation, error correction, and quantum networks. In this paper, we propose an optimal test for the performance of continuous-variable (CV) quantum teleportation in terms of the energy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.023066 |
| _version_ | 1797210806552625152 |
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| author | Kunal Sharma Barry C. Sanders Mark M. Wilde |
| author_facet | Kunal Sharma Barry C. Sanders Mark M. Wilde |
| author_sort | Kunal Sharma |
| collection | DOAJ |
| description | Quantum teleportation is a primitive in several important applications, including quantum communication, quantum computation, error correction, and quantum networks. In this paper, we propose an optimal test for the performance of continuous-variable (CV) quantum teleportation in terms of the energy-constrained channel fidelity between ideal CV teleportation and its experimental implementation. Work prior to ours considered suboptimal tests of the performance of CV teleportation, focusing instead on its performance for particular states, such as ensembles of coherent states, squeezed states, cat states, etc. Here, we prove that the optimal state for testing CV teleportation is an entangled superposition of twin Fock states. We establish this result by reducing the problem of estimating the energy-constrained channel fidelity between ideal CV teleportation and its experimental approximation to a quadratic program and solving it. As an additional result, we obtain an analytical solution to the energy-constrained diamond distance between a photodetector and its experimental approximation. These results are relevant for experiments that make use of CV teleportation and photodetectors. |
| first_indexed | 2024-04-24T10:16:27Z |
| format | Article |
| id | doaj.art-9ab47c2f6c6f4c5c9c934112db33fe4c |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:16:27Z |
| publishDate | 2022-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-9ab47c2f6c6f4c5c9c934112db33fe4c2024-04-12T17:20:16ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-014202306610.1103/PhysRevResearch.4.023066Optimal tests for continuous-variable quantum teleportation and photodetectorsKunal SharmaBarry C. SandersMark M. WildeQuantum teleportation is a primitive in several important applications, including quantum communication, quantum computation, error correction, and quantum networks. In this paper, we propose an optimal test for the performance of continuous-variable (CV) quantum teleportation in terms of the energy-constrained channel fidelity between ideal CV teleportation and its experimental implementation. Work prior to ours considered suboptimal tests of the performance of CV teleportation, focusing instead on its performance for particular states, such as ensembles of coherent states, squeezed states, cat states, etc. Here, we prove that the optimal state for testing CV teleportation is an entangled superposition of twin Fock states. We establish this result by reducing the problem of estimating the energy-constrained channel fidelity between ideal CV teleportation and its experimental approximation to a quadratic program and solving it. As an additional result, we obtain an analytical solution to the energy-constrained diamond distance between a photodetector and its experimental approximation. These results are relevant for experiments that make use of CV teleportation and photodetectors.http://doi.org/10.1103/PhysRevResearch.4.023066 |
| spellingShingle | Kunal Sharma Barry C. Sanders Mark M. Wilde Optimal tests for continuous-variable quantum teleportation and photodetectors Physical Review Research |
| title | Optimal tests for continuous-variable quantum teleportation and photodetectors |
| title_full | Optimal tests for continuous-variable quantum teleportation and photodetectors |
| title_fullStr | Optimal tests for continuous-variable quantum teleportation and photodetectors |
| title_full_unstemmed | Optimal tests for continuous-variable quantum teleportation and photodetectors |
| title_short | Optimal tests for continuous-variable quantum teleportation and photodetectors |
| title_sort | optimal tests for continuous variable quantum teleportation and photodetectors |
| url | http://doi.org/10.1103/PhysRevResearch.4.023066 |
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