Sequential hypothesis testing for continuously-monitored quantum systems
We consider a quantum system that is being continuously monitored, giving rise to a measurement signal. From such a stream of data, information needs to be inferred about the underlying system's dynamics. Here we focus on hypothesis testing problems and put forward the usage of sequential strat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2024-03-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2024-03-20-1289/pdf/ |
| _version_ | 1797254461904650240 |
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| author | Giulio Gasbarri Matias Bilkis Elisabet Roda-Salichs John Calsamiglia |
| author_facet | Giulio Gasbarri Matias Bilkis Elisabet Roda-Salichs John Calsamiglia |
| author_sort | Giulio Gasbarri |
| collection | DOAJ |
| description | We consider a quantum system that is being continuously monitored, giving rise to a measurement signal. From such a stream of data, information needs to be inferred about the underlying system's dynamics. Here we focus on hypothesis testing problems and put forward the usage of sequential strategies where the signal is analyzed in real time, allowing the experiment to be concluded as soon as the underlying hypothesis can be identified with a certified prescribed success probability. We analyze the performance of sequential tests by studying the stopping-time behavior, showing a considerable advantage over currently-used strategies based on a fixed predetermined measurement time. |
| first_indexed | 2024-04-24T21:50:20Z |
| format | Article |
| id | doaj.art-a01a10a3a8b14f0297d542d8f8f6cc78 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-24T21:50:20Z |
| publishDate | 2024-03-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-a01a10a3a8b14f0297d542d8f8f6cc782024-03-20T15:16:16ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2024-03-018128910.22331/q-2024-03-20-128910.22331/q-2024-03-20-1289Sequential hypothesis testing for continuously-monitored quantum systemsGiulio GasbarriMatias BilkisElisabet Roda-SalichsJohn CalsamigliaWe consider a quantum system that is being continuously monitored, giving rise to a measurement signal. From such a stream of data, information needs to be inferred about the underlying system's dynamics. Here we focus on hypothesis testing problems and put forward the usage of sequential strategies where the signal is analyzed in real time, allowing the experiment to be concluded as soon as the underlying hypothesis can be identified with a certified prescribed success probability. We analyze the performance of sequential tests by studying the stopping-time behavior, showing a considerable advantage over currently-used strategies based on a fixed predetermined measurement time.https://quantum-journal.org/papers/q-2024-03-20-1289/pdf/ |
| spellingShingle | Giulio Gasbarri Matias Bilkis Elisabet Roda-Salichs John Calsamiglia Sequential hypothesis testing for continuously-monitored quantum systems Quantum |
| title | Sequential hypothesis testing for continuously-monitored quantum systems |
| title_full | Sequential hypothesis testing for continuously-monitored quantum systems |
| title_fullStr | Sequential hypothesis testing for continuously-monitored quantum systems |
| title_full_unstemmed | Sequential hypothesis testing for continuously-monitored quantum systems |
| title_short | Sequential hypothesis testing for continuously-monitored quantum systems |
| title_sort | sequential hypothesis testing for continuously monitored quantum systems |
| url | https://quantum-journal.org/papers/q-2024-03-20-1289/pdf/ |
| work_keys_str_mv | AT giuliogasbarri sequentialhypothesistestingforcontinuouslymonitoredquantumsystems AT matiasbilkis sequentialhypothesistestingforcontinuouslymonitoredquantumsystems AT elisabetrodasalichs sequentialhypothesistestingforcontinuouslymonitoredquantumsystems AT johncalsamiglia sequentialhypothesistestingforcontinuouslymonitoredquantumsystems |