Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements
Information-theoretic uncertainty relations formulate the joint immeasurability of two noncommuting observables in terms of information entropies. The tradeoff of the accuracy in the outcome of two successive measurements manifests in entropic noise-disturbance uncertainty relations. Recent theoreti...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023175 |
| _version_ | 1797211016442937344 |
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| author | Stephan Sponar Armin Danner Vito Pecile Nico Einsidler Bülent Demirel Yuji Hasegawa |
| author_facet | Stephan Sponar Armin Danner Vito Pecile Nico Einsidler Bülent Demirel Yuji Hasegawa |
| author_sort | Stephan Sponar |
| collection | DOAJ |
| description | Information-theoretic uncertainty relations formulate the joint immeasurability of two noncommuting observables in terms of information entropies. The tradeoff of the accuracy in the outcome of two successive measurements manifests in entropic noise-disturbance uncertainty relations. Recent theoretical analysis predicts that projective measurements are not optimal, with respect to the noise-disturbance tradeoffs. Therefore, the results in our previous paper [Phys. Rev. Lett. 115, 030401 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.030401] are outperformed by general quantum measurements. Here, we experimentally test a tight information-theoretic measurement uncertainty relation for three-outcome positive-operator-valued measures, using neutron spin-1/2 qubits. The obtained results violate the lower bound for projective measurements as theoretically predicted. |
| first_indexed | 2024-04-24T10:19:47Z |
| format | Article |
| id | doaj.art-c009a6bf9c46427d8160d2c151ae5f34 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:47Z |
| publishDate | 2021-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-c009a6bf9c46427d8160d2c151ae5f342024-04-12T17:10:26ZengAmerican Physical SocietyPhysical Review Research2643-15642021-06-013202317510.1103/PhysRevResearch.3.023175Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurementsStephan SponarArmin DannerVito PecileNico EinsidlerBülent DemirelYuji HasegawaInformation-theoretic uncertainty relations formulate the joint immeasurability of two noncommuting observables in terms of information entropies. The tradeoff of the accuracy in the outcome of two successive measurements manifests in entropic noise-disturbance uncertainty relations. Recent theoretical analysis predicts that projective measurements are not optimal, with respect to the noise-disturbance tradeoffs. Therefore, the results in our previous paper [Phys. Rev. Lett. 115, 030401 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.030401] are outperformed by general quantum measurements. Here, we experimentally test a tight information-theoretic measurement uncertainty relation for three-outcome positive-operator-valued measures, using neutron spin-1/2 qubits. The obtained results violate the lower bound for projective measurements as theoretically predicted.http://doi.org/10.1103/PhysRevResearch.3.023175 |
| spellingShingle | Stephan Sponar Armin Danner Vito Pecile Nico Einsidler Bülent Demirel Yuji Hasegawa Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements Physical Review Research |
| title | Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements |
| title_full | Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements |
| title_fullStr | Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements |
| title_full_unstemmed | Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements |
| title_short | Experimental test of entropic noise-disturbance uncertainty relations for three-outcome qubit measurements |
| title_sort | experimental test of entropic noise disturbance uncertainty relations for three outcome qubit measurements |
| url | http://doi.org/10.1103/PhysRevResearch.3.023175 |
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