Analysis and optimization of quantum adaptive measurement protocols with the framework of preparation games
| Autor: | Miguel Navascués, Edgar A. Aguilar, Mirjam Weilenmann |
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| Rok vydání: | 2020 |
| Předmět: |
Theoretical computer science
Quantum information Computer science Science General Physics and Astronomy Quantum entanglement 01 natural sciences Quantum mechanics Article General Biochemistry Genetics and Molecular Biology 010305 fluids & plasmas Quantum state 0103 physical sciences 010306 general physics Quantum Multidisciplinary Magic (programming) TheoryofComputation_GENERAL Quantum Physics General Chemistry Publisher Correction Task (computing) State (computer science) Entanglement witness |
| Zdroj: | Nature Communications Nature Communications, Vol 12, Iss 1, Pp 1-13 (2021) |
| ISSN: | 2041-1723 |
| Popis: | A preparation game is a task whereby a player sequentially sends a number of quantum states to a referee, who probes each of them and announces the measurement result. Many experimental tasks in quantum information, such as entanglement quantification or magic state detection, can be cast as preparation games. In this paper, we introduce general methods to design n-round preparation games, with tight bounds on the performance achievable by players with arbitrarily constrained preparation devices. We illustrate our results by devising new adaptive measurement protocols for entanglement detection and quantification. Surprisingly, we find that the standard procedure in entanglement detection, namely, estimating n times the average value of a given entanglement witness, is in general suboptimal for detecting the entanglement of a specific quantum state. On the contrary, there exist n-round experimental scenarios where detecting the entanglement of a known state optimally requires adaptive measurement schemes. Finding a general way to come up with optimal strategies for quantum information tasks is a matter of both fundamental and practical interest. Here, the authors tackle the problem using the formalism of quantum preparation games, finding applications for entanglement detection and quantification. |
| Databáze: | OpenAIRE |
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