Quantum systems subject to projective measurements at random times Article Swipe
What happens when a quantum system undergoing unitary evolution in time is subject to repeated projective measurements to the initial state at random times? A question of general interest is: How does the survival probability $S_m$, namely, the probability that an initial state survives even after $m$ number of measurements, behave as a function of $m$? In the context of two paradigmatic quantum systems, one evolving in discrete and the other in continuous time, we present a wealth of numerical and analytical results that hint at the curious nature of quantum measurement dynamics. In particular, we unveil that when evolution after every projective measurement continues with the projected component of the instantaneous state, the average and the typical survival probability decay as an exponential in $m$ for large $m$. By contrast, if the evolution continues with the leftover component, namely, what remains of the instantaneous state after a measurement has been performed, the survival probability decays asymptotically as a power law in $m$ with exponent $3/2$. These results hold independently of the choice of the distribution of times between successive measurements, implying robustness and ubiquity of our derived results.
Related Topics
Concepts
Statistical physics
Unitary state
Quantum state
Exponent
Mathematics
Quantum
Probability distribution
Context (archaeology)
Exponential function
State (computer science)
Component (thermodynamics)
Physics
Quantum mechanics
Statistics
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Algorithm
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://arxiv.org/pdf/2105.00338.pdf
- OA Status
- green
- References
- 13
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3158517018
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https://openalex.org/W3158517018Canonical identifier for this work in OpenAlex
- Title
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Quantum systems subject to projective measurements at random timesWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-05-01Full publication date if available
- Authors
-
Debraj Das, Shamik GuptaList of authors in order
- Landing page
-
https://arxiv.org/pdf/2105.00338.pdfPublisher landing page
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2105.00338.pdfDirect OA link when available
- Concepts
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Statistical physics, Unitary state, Quantum state, Exponent, Mathematics, Quantum, Probability distribution, Context (archaeology), Exponential function, State (computer science), Component (thermodynamics), Physics, Quantum mechanics, Statistics, Mathematical analysis, Algorithm, Philosophy, Paleontology, Political science, Biology, Law, LinguisticsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
- References (count)
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13Number of works referenced by this work
- Related works (count)
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.dynamics. | 92 |
| abstract_inverted_index.evolution | 8, 99, 133 |
| abstract_inverted_index.numerical | 79 |
| abstract_inverted_index.projected | 107 |
| abstract_inverted_index.analytical | 81 |
| abstract_inverted_index.component, | 138 |
| abstract_inverted_index.continuous | 72 |
| abstract_inverted_index.performed, | 151 |
| abstract_inverted_index.projective | 15, 102 |
| abstract_inverted_index.robustness | 182 |
| abstract_inverted_index.successive | 179 |
| abstract_inverted_index.undergoing | 6 |
| abstract_inverted_index.exponential | 123 |
| abstract_inverted_index.measurement | 91, 103, 148 |
| abstract_inverted_index.particular, | 94 |
| abstract_inverted_index.probability | 34, 38, 119, 154 |
| abstract_inverted_index.distribution | 175 |
| abstract_inverted_index.measurements | 16 |
| abstract_inverted_index.paradigmatic | 61 |
| abstract_inverted_index.independently | 169 |
| abstract_inverted_index.instantaneous | 111, 144 |
| abstract_inverted_index.measurements, | 49, 180 |
| abstract_inverted_index.asymptotically | 156 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/16 |
| sustainable_development_goals[0].score | 0.7799999713897705 |
| sustainable_development_goals[0].display_name | Peace, Justice and strong institutions |
| citation_normalized_percentile |