Quantum Multi-Prover Interactive Proof Systems: Difference between revisions
Created page with "Title: Quantum Multi-Prover Interactive Proof Systems Research Question: Can quantum computation provide an advantage in the setting of multi-prover interactive proof systems, which are a natural extension of single-prover systems? Methodology: The researchers introduced a model of quantum multi-prover interactive proof systems by naturally extending the model of single-prover systems. They then proved that the class of languages that have quantum multi-prover interact..." |
No edit summary |
||
| Line 1: | Line 1: | ||
Title: Quantum Multi-Prover Interactive Proof Systems | Title: Quantum Multi-Prover Interactive Proof Systems | ||
Research Question: Can quantum computation provide | Research Question: Can quantum computation provide a significant advantage over classical computation in the setting of multi-prover interactive proof systems? | ||
Methodology: The researchers introduced a model of quantum multi-prover interactive proof systems by naturally extending the model of single-prover systems. They then proved that the class of languages that have quantum multi-prover interactive proof systems | Methodology: The researchers introduced a model of quantum multi-prover interactive proof systems by naturally extending the model of quantum single-prover interactive proof systems defined by Watrous. They then proved that the class of languages that have quantum multi-prover interactive proof systems is equal to NEXP, implying that the quantum analogue has no gain to the classical counterpart in the setting of multi-prover interactive proof systems. | ||
Results: The researchers showed that in | Results: The researchers showed that, in case the prover does not have his private qubits, the class of languages that have single-prover quantum interactive proof systems is also equal to NE XP. This gives the first exact characterization of classical time complexity class in quantum computational words. | ||
Implications: | Implications: This research provides insights into the power of quantum computation in the setting of multi-prover interactive proof systems. It suggests that quantum computation may not always offer a significant advantage over classical computation, even in scenarios where quantum computation has demonstrated superior performance. This could have implications for the development of quantum algorithms and the understanding of the limits of quantum computation. | ||
Link to Article: https://arxiv.org/abs/ | Link to Article: https://arxiv.org/abs/0102013v2 | ||
Authors: | Authors: | ||
arXiv ID: | arXiv ID: 0102013v2 | ||
[[Category:Computer Science]] | [[Category:Computer Science]] | ||
[[Category:Quantum]] | [[Category:Quantum]] | ||
[[Category:Prover]] | [[Category:Prover]] | ||
[[Category:Interactive]] | [[Category:Interactive]] | ||
[[Category:Proof]] | [[Category:Proof]] | ||
[[Category:Systems]] | |||
Revision as of 02:03, 24 December 2023
Title: Quantum Multi-Prover Interactive Proof Systems
Research Question: Can quantum computation provide a significant advantage over classical computation in the setting of multi-prover interactive proof systems?
Methodology: The researchers introduced a model of quantum multi-prover interactive proof systems by naturally extending the model of quantum single-prover interactive proof systems defined by Watrous. They then proved that the class of languages that have quantum multi-prover interactive proof systems is equal to NEXP, implying that the quantum analogue has no gain to the classical counterpart in the setting of multi-prover interactive proof systems.
Results: The researchers showed that, in case the prover does not have his private qubits, the class of languages that have single-prover quantum interactive proof systems is also equal to NE XP. This gives the first exact characterization of classical time complexity class in quantum computational words.
Implications: This research provides insights into the power of quantum computation in the setting of multi-prover interactive proof systems. It suggests that quantum computation may not always offer a significant advantage over classical computation, even in scenarios where quantum computation has demonstrated superior performance. This could have implications for the development of quantum algorithms and the understanding of the limits of quantum computation.
Link to Article: https://arxiv.org/abs/0102013v2 Authors: arXiv ID: 0102013v2