Computing the maximum violation of a Bell inequality is an NP-problem
The number of steps required in order to maximize a Bell inequality for arbitrary number of qubits is shown to grow exponentially with the number of parties involved. The proof that the optimization of such correlation measure is an NP-problem based on an operational perspective involving a Turing m...
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Springer Verlag (Germany)
2016
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my.um.eprints.184842017-12-07T04:13:27Z http://eprints.um.edu.my/18484/ Computing the maximum violation of a Bell inequality is an NP-problem Batle, J. Raymond Ooi, C.H. Abdalla, S. Bagdasaryan, A. Q Science (General) QC Physics The number of steps required in order to maximize a Bell inequality for arbitrary number of qubits is shown to grow exponentially with the number of parties involved. The proof that the optimization of such correlation measure is an NP-problem based on an operational perspective involving a Turing machine, which follows a general algorithm. The implications for the computability of the so-called nonlocality for any number of qubits is similar to recent results involving entanglement or similar quantum correlation-based measures. Springer Verlag (Germany) 2016 Article PeerReviewed Batle, J. and Raymond Ooi, C.H. and Abdalla, S. and Bagdasaryan, A. (2016) Computing the maximum violation of a Bell inequality is an NP-problem. Quantum Information Processing, 15 (6). pp. 2649-2659. ISSN 1570-0755 http://dx.doi.org/10.1007/s11128-016-1275-2 doi:10.1007/s11128-016-1275-2 |
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Q Science (General) QC Physics Batle, J. Raymond Ooi, C.H. Abdalla, S. Bagdasaryan, A. Computing the maximum violation of a Bell inequality is an NP-problem |
description |
The number of steps required in order to maximize a Bell inequality for arbitrary number of qubits is shown to grow exponentially with the number of parties involved. The proof that the optimization of such correlation measure is an NP-problem based on an operational perspective involving a Turing machine, which follows a general algorithm. The implications for the computability of the so-called nonlocality for any number of qubits is similar to recent results involving entanglement or similar quantum correlation-based measures. |
format |
Article |
author |
Batle, J. Raymond Ooi, C.H. Abdalla, S. Bagdasaryan, A. |
author_facet |
Batle, J. Raymond Ooi, C.H. Abdalla, S. Bagdasaryan, A. |
author_sort |
Batle, J. |
title |
Computing the maximum violation of a Bell inequality is an NP-problem |
title_short |
Computing the maximum violation of a Bell inequality is an NP-problem |
title_full |
Computing the maximum violation of a Bell inequality is an NP-problem |
title_fullStr |
Computing the maximum violation of a Bell inequality is an NP-problem |
title_full_unstemmed |
Computing the maximum violation of a Bell inequality is an NP-problem |
title_sort |
computing the maximum violation of a bell inequality is an np-problem |
publisher |
Springer Verlag (Germany) |
publishDate |
2016 |
url |
http://eprints.um.edu.my/18484/ http://dx.doi.org/10.1007/s11128-016-1275-2 |
_version_ |
1643690718112251904 |
score |
13.251813 |