Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations
Quantum uncertainty relations impose fundamental limits on the joint knowledge that can be acquired from complementary observables: Perfect knowledge of a quantum state in one basis implies maximal indetermination in all other mutually unbiased bases (MUBs). Uncertainty relations derived from joint...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/v24q-sl6n |
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| _version_ | 1849406082858876928 |
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| author | Laura Serino Giovanni Chesi Benjamin Brecht Lorenzo Maccone Chiara Macchiavello Christine Silberhorn |
| author_facet | Laura Serino Giovanni Chesi Benjamin Brecht Lorenzo Maccone Chiara Macchiavello Christine Silberhorn |
| author_sort | Laura Serino |
| collection | DOAJ |
| description | Quantum uncertainty relations impose fundamental limits on the joint knowledge that can be acquired from complementary observables: Perfect knowledge of a quantum state in one basis implies maximal indetermination in all other mutually unbiased bases (MUBs). Uncertainty relations derived from joint properties of the MUBs are generally assumed to be uniform, irrespective of the specific observables chosen within a set. In this work, we demonstrate instead that the uncertainty relations can depend on the choice of observables. Through both experimental observation and numerical methods, we show that selecting different sets of three MUBs in a five-dimensional quantum system results in distinct uncertainty bounds, i.e., in varying degrees of complementarity, in terms of both entropy and variance. |
| format | Article |
| id | doaj-art-8ab87df5873f4fc0aa54c5d45c5dc07e |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-8ab87df5873f4fc0aa54c5d45c5dc07e2025-08-20T03:36:31ZengAmerican Physical SocietyPhysical Review Research2643-15642025-08-017303315210.1103/v24q-sl6nComplementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relationsLaura SerinoGiovanni ChesiBenjamin BrechtLorenzo MacconeChiara MacchiavelloChristine SilberhornQuantum uncertainty relations impose fundamental limits on the joint knowledge that can be acquired from complementary observables: Perfect knowledge of a quantum state in one basis implies maximal indetermination in all other mutually unbiased bases (MUBs). Uncertainty relations derived from joint properties of the MUBs are generally assumed to be uniform, irrespective of the specific observables chosen within a set. In this work, we demonstrate instead that the uncertainty relations can depend on the choice of observables. Through both experimental observation and numerical methods, we show that selecting different sets of three MUBs in a five-dimensional quantum system results in distinct uncertainty bounds, i.e., in varying degrees of complementarity, in terms of both entropy and variance.http://doi.org/10.1103/v24q-sl6n |
| spellingShingle | Laura Serino Giovanni Chesi Benjamin Brecht Lorenzo Maccone Chiara Macchiavello Christine Silberhorn Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations Physical Review Research |
| title | Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations |
| title_full | Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations |
| title_fullStr | Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations |
| title_full_unstemmed | Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations |
| title_short | Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations |
| title_sort | complementarity based complementarity the choice of mutually unbiased observables shapes quantum uncertainty relations |
| url | http://doi.org/10.1103/v24q-sl6n |
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