FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3201218688> ?p ?o ?g. }

• W3201218688 abstract "The goal in the area of functions property testing is to determine whether a given black-box Boolean function has a particular given property or is $varepsilon$-far from having that property. We investigate here several types of properties testing for Boolean functions (identity, correlations and balancedness) using the Deutsch-Jozsa algorithm (for the Deutsch-Jozsa (D-J) problem) and also the amplitude amplification technique. At first, we study here a particular testing problem: namely whether a given Boolean function $f$, of $n$ variables, is identical with a given function $g$ or is $varepsilon$-far from $g$, where $varepsilon$ is the parameter. We present a one-sided error quantum algorithm to deal with this problem that has the query complexity $O(frac{1}{sqrt{varepsilon}})$. Moreover, we show that our quantum algorithm is optimal. Afterwards we show that the classical randomized query complexity of this problem is $Theta(frac{1}{varepsilon})$. Secondly, we consider the D-J problem from the perspective of functional correlations and let $C(f,g)$ denote the correlation of $f$ and $g$. We propose an exact quantum algorithm for making distinction between $|C(f,g)|=varepsilon$ and $|C(f,g)|=1$ using six queries, while the classical deterministic query complexity for this problem is $Theta(2^{n})$ queries. Finally, we propose a one-sided error quantum query algorithm for testing whether one Boolean function is balanced versus $varepsilon$-far balanced using $O(frac{1}{varepsilon})$ queries. We also prove here that our quantum algorithm for balancedness testing is optimal. At the same time, for this balancedness testing problem we present a classical randomized algorithm with query complexity of $O(1/varepsilon^{2})$. Also this randomized algorithm is optimal. Besides, we link the problems considered here together and generalize them to the general case." @default.
• W3201218688 created "2021-09-27" @default.
• W3201218688 creator A5013590799 @default.
• W3201218688 creator A5026963602 @default.
• W3201218688 creator A5049655958 @default.
• W3201218688 creator A5070539897 @default.
• W3201218688 creator A5085083129 @default.
• W3201218688 date "2021-09-14" @default.
• W3201218688 modified "2023-09-26" @default.
• W3201218688 title "Testing Boolean Functions Properties." @default.
• W3201218688 cites W1501167079 @default.
• W3201218688 cites W1902145500 @default.
• W3201218688 cites W1906781933 @default.
• W3201218688 cites W1982026196 @default.
• W3201218688 cites W1997855358 @default.
• W3201218688 cites W2008212744 @default.
• W3201218688 cites W2012496360 @default.
• W3201218688 cites W2029029634 @default.
• W3201218688 cites W2033016443 @default.
• W3201218688 cites W2038230325 @default.
• W3201218688 cites W2044105294 @default.
• W3201218688 cites W2050334794 @default.
• W3201218688 cites W2052003531 @default.
• W3201218688 cites W2084652510 @default.
• W3201218688 cites W2085693797 @default.
• W3201218688 cites W2107398173 @default.
• W3201218688 cites W2108852611 @default.
• W3201218688 cites W2111768547 @default.
• W3201218688 cites W2117679895 @default.
• W3201218688 cites W2151869166 @default.
• W3201218688 cites W2179516467 @default.
• W3201218688 cites W2344561532 @default.
• W3201218688 cites W2511750106 @default.
• W3201218688 cites W2515694000 @default.
• W3201218688 cites W2608070467 @default.
• W3201218688 cites W2790802381 @default.
• W3201218688 cites W2798486685 @default.
• W3201218688 cites W2808836053 @default.
• W3201218688 cites W2887191035 @default.
• W3201218688 cites W2963424608 @default.
• W3201218688 cites W2964269122 @default.
• W3201218688 cites W2993645101 @default.
• W3201218688 cites W3048152041 @default.
• W3201218688 cites W3217033513 @default.
• W3201218688 cites W65832523 @default.
• W3201218688 hasPublicationYear "2021" @default.
• W3201218688 type Work @default.
• W3201218688 sameAs 3201218688 @default.
• W3201218688 citedByCount "0" @default.
• W3201218688 crossrefType "posted-content" @default.
• W3201218688 hasAuthorship W3201218688A5013590799 @default.
• W3201218688 hasAuthorship W3201218688A5026963602 @default.
• W3201218688 hasAuthorship W3201218688A5049655958 @default.
• W3201218688 hasAuthorship W3201218688A5070539897 @default.
• W3201218688 hasAuthorship W3201218688A5085083129 @default.
• W3201218688 hasConcept C114614502 @default.
• W3201218688 hasConcept C118615104 @default.
• W3201218688 hasConcept C121332964 @default.
• W3201218688 hasConcept C123842658 @default.
• W3201218688 hasConcept C137019171 @default.
• W3201218688 hasConcept C14036430 @default.
• W3201218688 hasConcept C187455244 @default.
• W3201218688 hasConcept C33923547 @default.
• W3201218688 hasConcept C62520636 @default.
• W3201218688 hasConcept C78458016 @default.
• W3201218688 hasConcept C84114770 @default.
• W3201218688 hasConcept C86803240 @default.
• W3201218688 hasConceptScore W3201218688C114614502 @default.
• W3201218688 hasConceptScore W3201218688C118615104 @default.
• W3201218688 hasConceptScore W3201218688C121332964 @default.
• W3201218688 hasConceptScore W3201218688C123842658 @default.
• W3201218688 hasConceptScore W3201218688C137019171 @default.
• W3201218688 hasConceptScore W3201218688C14036430 @default.
• W3201218688 hasConceptScore W3201218688C187455244 @default.
• W3201218688 hasConceptScore W3201218688C33923547 @default.
• W3201218688 hasConceptScore W3201218688C62520636 @default.
• W3201218688 hasConceptScore W3201218688C78458016 @default.
• W3201218688 hasConceptScore W3201218688C84114770 @default.
• W3201218688 hasConceptScore W3201218688C86803240 @default.
• W3201218688 hasLocation W32012186881 @default.
• W3201218688 hasOpenAccess W3201218688 @default.
• W3201218688 hasPrimaryLocation W32012186881 @default.
• W3201218688 hasRelatedWork W1660923718 @default.
• W3201218688 hasRelatedWork W1798045972 @default.
• W3201218688 hasRelatedWork W1990290564 @default.
• W3201218688 hasRelatedWork W1992351599 @default.
• W3201218688 hasRelatedWork W1995363082 @default.
• W3201218688 hasRelatedWork W2006834720 @default.
• W3201218688 hasRelatedWork W2085693797 @default.
• W3201218688 hasRelatedWork W2123346810 @default.
• W3201218688 hasRelatedWork W2170827767 @default.
• W3201218688 hasRelatedWork W2303111817 @default.
• W3201218688 hasRelatedWork W2570091096 @default.
• W3201218688 hasRelatedWork W2902332756 @default.
• W3201218688 hasRelatedWork W2906371514 @default.
• W3201218688 hasRelatedWork W2951730160 @default.
• W3201218688 hasRelatedWork W2952561065 @default.
• W3201218688 hasRelatedWork W2962825398 @default.
• W3201218688 hasRelatedWork W2993730443 @default.
• W3201218688 hasRelatedWork W2993807705 @default.

• next