Verification of NP-complete problems: Difference between revisions

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* '''Network Stage:''' [[:Category: Prepare and Measure Network Stage|Prepare and Measure]][[Category: Prepare and Measure Network Stage]]
* '''Network Stage:''' [[:Category: Prepare and Measure Network Stage|Prepare and Measure]][[Category: Prepare and Measure Network Stage]]
* '''Relevant Parameters:'''
* '''Relevant Parameters:'''
** <math>K=O(\sqrt{N}</math> single photon sources.
** <math>K=O(\sqrt{N})</math> single photon sources.
** K fixed  cascades  of  beamsplitters  of  depth <math>O(\log N)</math> each  preparing  a  single  photon  in  an equal superposition over N modes.
** K fixed  cascades  of  beamsplitters  of  depth <math>O(\log N)</math> each  preparing  a  single  photon  in  an equal superposition over N modes.
** KN phase-shifters, one for each mode.
** KN phase-shifters, one for each mode.
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** <math>K N\times N</math> active switches that perform arbitrary permutations of N modes.
** <math>K N\times N</math> active switches that perform arbitrary permutations of N modes.
** One <math>2N\times 2N</math> switch performing permutation of 2N modes.
** One <math>2N\times 2N</math> switch performing permutation of 2N modes.
** O(N) four-mode interferometers for the satisfiability test.
** <math>O(N)</math> four-mode interferometers for the satisfiability test.
** O(KN) two-mode interferometers for uniformity and symmetry tests.
** <math>O(KN)</math> two-mode interferometers for uniformity and symmetry tests.
** O(KN) photon number resolving detectors.
** <math>O(KN)</math> photon number resolving detectors.


==Properties==
==Properties==
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