# Uf: Uf In QuantumOps: Performs Common Linear Algebra Operations Used in Quantum Computing and Implements Quantum Algorithms

## Description

Generates an operator (oracle) of specified size that implements the function that is passed to it. Assumes there are n qubits in data register and m qubits in target register.

## Usage

 `1` ```Uf(fun,n,m) ```

## Arguments

 `fun` Function of an n-bit argument that produces an m-bit result `n` Integer that specifies the number of qubits in the data register, same as number of bits to function `m` Integer that specifies the number of qubits in the target register, same as number of bits as output of function

## Value

Matrix of the operator (oracle) which implements the specified function)

## Examples

 ```1 2 3 4 5``` ``` Uf(function(x){x - floor(x/2)*2},1,1) Uf(function(x){0},2,2) Uf(function(x){1},2,2) Uf(function(x){x - floor(x/4)*4},2,2) Uf(function(x){x^3},3,4) ```

### Example output

```Attaching package: ‘QuantumOps’

The following object is masked from ‘package:stats’:

dist

The following objects are masked from ‘package:base’:

I, norm, single

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[127,]     0     0     0     0     0     0     0     0     0     0     0     0
[128,]     0     0     0     0     0     0     0     0     0     0     0     0
[,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
[1,]     0     0     0     0     0     0     0     0     0     0     0     0
[2,]     0     0     0     0     0     0     0     0     0     0     0     0
[3,]     0     0     0     0     0     0     0     0     0     0     0     0
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[128,]     0     0     0     0     0     0     0     0     0     0     0     0
[,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
[1,]     0     0     0     0     0     0     0     0     0     0     0     0
[2,]     0     0     0     0     0     0     0     0     0     0     0     0
[3,]     0     0     0     0     0     0     0     0     0     0     0     0
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[6,]     0     0     0     0     0     0     0     0     0     0     0     0
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[10,]     0     0     0     0     0     0     0     0     0     0     0     0
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[14,]     0     0     0     0     0     0     0     0     0     0     0     0
[15,]     0     0     0     0     0     0     0     0     0     0     0     0
[16,]     0     0     0     0     0     0     0     0     0     0     0     0
[17,]     0     0     0     0     0     0     0     0     0     0     0     0
[18,]     0     0     0     0     0     0     0     0     0     0     0     0
[19,]     0     0     0     0     0     0     0     0     0     0     0     0
[20,]     0     0     0     0     0     0     0     0     0     0     0     0
[21,]     0     0     0     0     0     0     0     0     0     0     0     0
[22,]     0     0     0     0     0     0     0     0     0     0     0     0
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[32,]     0     0     0     0     0     0     0     0     0     0     0     0
[33,]     0     0     0     1     0     0     0     0     0     0     0     0
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[128,]     0     0     0     0     0     0     0     0     0     0     0     0
[,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
[1,]     0     0     0     0     0     0     0     0     0     0     0     0
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[128,]     0     0     0     0     0     0     0     0     0     0     0     0
[,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
[1,]     0     0     0     0     0     0     0     0     0     0     0     0
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[3,]     0     0     0     0     0     0     0     0     0     0     0     0
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[128,]     0     0     0     0     0     0     0     0     0     0     0     0
[,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
[1,]     0     0     0     0     0     0     0     0     0     0     0     0
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[128,]     0     0     0     0     0     0     0     0     0     0     0     0
[,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
[1,]     0     0     0     0     0     0     0     0     0     0     0     0
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[120,]      0      0      0      0      0      1      0      0      0      0
[121,]      0      0      0      0      0      0      0      0      0      0
[122,]      0      0      0      0      0      0      0      0      0      0
[123,]      0      0      0      0      0      0      0      0      0      0
[124,]      0      0      0      0      0      0      0      0      0      0
[125,]      0      0      0      0      0      0      0      0      0      0
[126,]      0      0      0      0      0      0      0      0      0      0
[127,]      0      0      0      0      0      0      0      0      0      0
[128,]      0      0      0      0      0      0      0      0      0      0
[,118] [,119] [,120] [,121] [,122] [,123] [,124] [,125] [,126] [,127]
[1,]      0      0      0      0      0      0      0      0      0      0
[2,]      0      0      0      0      0      0      0      0      0      0
[3,]      0      0      0      0      0      0      0      0      0      0
[4,]      0      0      0      0      0      0      0      0      0      0
[5,]      0      0      0      0      0      0      0      0      0      0
[6,]      0      0      0      0      0      0      0      0      0      0
[7,]      0      0      0      0      0      0      0      0      0      0
[8,]      0      0      0      0      0      0      0      0      0      0
[9,]      0      0      0      0      0      0      0      0      0      0
[10,]      0      0      0      0      0      0      0      0      0      0
[11,]      0      0      0      0      0      0      0      0      0      0
[12,]      0      0      0      0      0      0      0      0      0      0
[13,]      0      0      0      0      0      0      0      0      0      0
[14,]      0      0      0      0      0      0      0      0      0      0
[15,]      0      0      0      0      0      0      0      0      0      0
[16,]      0      0      0      0      0      0      0      0      0      0
[17,]      0      0      0      0      0      0      0      0      0      0
[18,]      0      0      0      0      0      0      0      0      0      0
[19,]      0      0      0      0      0      0      0      0      0      0
[20,]      0      0      0      0      0      0      0      0      0      0
[21,]      0      0      0      0      0      0      0      0      0      0
[22,]      0      0      0      0      0      0      0      0      0      0
[23,]      0      0      0      0      0      0      0      0      0      0
[24,]      0      0      0      0      0      0      0      0      0      0
[25,]      0      0      0      0      0      0      0      0      0      0
[26,]      0      0      0      0      0      0      0      0      0      0
[27,]      0      0      0      0      0      0      0      0      0      0
[28,]      0      0      0      0      0      0      0      0      0      0
[29,]      0      0      0      0      0      0      0      0      0      0
[30,]      0      0      0      0      0      0      0      0      0      0
[31,]      0      0      0      0      0      0      0      0      0      0
[32,]      0      0      0      0      0      0      0      0      0      0
[33,]      0      0      0      0      0      0      0      0      0      0
[34,]      0      0      0      0      0      0      0      0      0      0
[35,]      0      0      0      0      0      0      0      0      0      0
[36,]      0      0      0      0      0      0      0      0      0      0
[37,]      0      0      0      0      0      0      0      0      0      0
[38,]      0      0      0      0      0      0      0      0      0      0
[39,]      0      0      0      0      0      0      0      0      0      0
[40,]      0      0      0      0      0      0      0      0      0      0
[41,]      0      0      0      0      0      0      0      0      0      0
[42,]      0      0      0      0      0      0      0      0      0      0
[43,]      0      0      0      0      0      0      0      0      0      0
[44,]      0      0      0      0      0      0      0      0      0      0
[45,]      0      0      0      0      0      0      0      0      0      0
[46,]      0      0      0      0      0      0      0      0      0      0
[47,]      0      0      0      0      0      0      0      0      0      0
[48,]      0      0      0      0      0      0      0      0      0      0
[49,]      0      0      0      0      0      0      0      0      0      0
[50,]      0      0      0      0      0      0      0      0      0      0
[51,]      0      0      0      0      0      0      0      0      0      0
[52,]      0      0      0      0      0      0      0      0      0      0
[53,]      0      0      0      0      0      0      0      0      0      0
[54,]      0      0      0      0      0      0      0      0      0      0
[55,]      0      0      0      0      0      0      0      0      0      0
[56,]      0      0      0      0      0      0      0      0      0      0
[57,]      0      0      0      0      0      0      0      0      0      0
[58,]      0      0      0      0      0      0      0      0      0      0
[59,]      0      0      0      0      0      0      0      0      0      0
[60,]      0      0      0      0      0      0      0      0      0      0
[61,]      0      0      0      0      0      0      0      0      0      0
[62,]      0      0      0      0      0      0      0      0      0      0
[63,]      0      0      0      0      0      0      0      0      0      0
[64,]      0      0      0      0      0      0      0      0      0      0
[65,]      0      0      0      0      0      0      0      0      0      0
[66,]      0      0      0      0      0      0      0      0      0      0
[67,]      0      0      0      0      0      0      0      0      0      0
[68,]      0      0      0      0      0      0      0      0      0      0
[69,]      0      0      0      0      0      0      0      0      0      0
[70,]      0      0      0      0      0      0      0      0      0      0
[71,]      0      0      0      0      0      0      0      0      0      0
[72,]      0      0      0      0      0      0      0      0      0      0
[73,]      0      0      0      0      0      0      0      0      0      0
[74,]      0      0      0      0      0      0      0      0      0      0
[75,]      0      0      0      0      0      0      0      0      0      0
[76,]      0      0      0      0      0      0      0      0      0      0
[77,]      0      0      0      0      0      0      0      0      0      0
[78,]      0      0      0      0      0      0      0      0      0      0
[79,]      0      0      0      0      0      0      0      0      0      0
[80,]      0      0      0      0      0      0      0      0      0      0
[81,]      0      0      0      0      0      0      0      0      0      0
[82,]      0      0      0      0      0      0      0      0      0      0
[83,]      0      0      0      0      0      0      0      0      0      0
[84,]      0      0      0      0      0      0      0      0      0      0
[85,]      0      0      0      0      0      0      0      0      0      0
[86,]      0      0      0      0      0      0      0      0      0      0
[87,]      0      0      0      0      0      0      0      0      0      0
[88,]      0      0      0      0      0      0      0      0      0      0
[89,]      0      0      0      0      0      0      0      0      0      0
[90,]      0      0      0      0      0      0      0      0      0      0
[91,]      0      0      0      0      0      0      0      0      0      0
[92,]      0      0      0      0      0      0      0      0      0      0
[93,]      0      0      0      0      0      0      0      0      0      0
[94,]      0      0      0      0      0      0      0      0      0      0
[95,]      0      0      0      0      0      0      0      0      0      0
[96,]      0      0      0      0      0      0      0      0      0      0
[97,]      0      0      0      0      0      0      0      0      0      0
[98,]      0      0      0      0      0      0      0      0      0      0
[99,]      0      0      0      0      0      0      0      0      0      0
[100,]      0      0      0      0      0      0      0      0      0      0
[101,]      0      0      0      0      0      0      0      0      0      0
[102,]      0      0      0      0      0      0      0      0      0      0
[103,]      0      0      0      0      0      0      0      0      0      0
[104,]      0      0      0      0      0      0      0      0      0      0
[105,]      0      0      0      0      0      0      0      0      0      0
[106,]      0      0      0      0      0      0      0      0      0      0
[107,]      0      0      0      0      0      0      0      0      0      0
[108,]      0      0      0      0      0      0      0      0      0      0
[109,]      0      0      0      0      0      0      0      0      0      0
[110,]      0      0      0      0      0      0      0      0      0      0
[111,]      0      0      0      0      0      0      0      0      0      0
[112,]      0      0      0      0      0      0      0      0      0      0
[113,]      0      0      1      0      0      0      0      0      0      0
[114,]      0      1      0      0      0      0      0      0      0      0
[115,]      1      0      0      0      0      0      0      0      0      0
[116,]      0      0      0      0      0      0      0      0      0      0
[117,]      0      0      0      0      0      0      0      0      0      0
[118,]      0      0      0      0      0      0      0      0      0      0
[119,]      0      0      0      0      0      0      0      0      0      0
[120,]      0      0      0      0      0      0      0      0      0      0
[121,]      0      0      0      0      0      0      0      0      0      0
[122,]      0      0      0      0      0      0      0      0      0      1
[123,]      0      0      0      0      0      0      0      0      1      0
[124,]      0      0      0      0      0      0      0      1      0      0
[125,]      0      0      0      0      0      0      1      0      0      0
[126,]      0      0      0      0      0      1      0      0      0      0
[127,]      0      0      0      0      1      0      0      0      0      0
[128,]      0      0      0      1      0      0      0      0      0      0
[,128]
[1,]      0
[2,]      0
[3,]      0
[4,]      0
[5,]      0
[6,]      0
[7,]      0
[8,]      0
[9,]      0
[10,]      0
[11,]      0
[12,]      0
[13,]      0
[14,]      0
[15,]      0
[16,]      0
[17,]      0
[18,]      0
[19,]      0
[20,]      0
[21,]      0
[22,]      0
[23,]      0
[24,]      0
[25,]      0
[26,]      0
[27,]      0
[28,]      0
[29,]      0
[30,]      0
[31,]      0
[32,]      0
[33,]      0
[34,]      0
[35,]      0
[36,]      0
[37,]      0
[38,]      0
[39,]      0
[40,]      0
[41,]      0
[42,]      0
[43,]      0
[44,]      0
[45,]      0
[46,]      0
[47,]      0
[48,]      0
[49,]      0
[50,]      0
[51,]      0
[52,]      0
[53,]      0
[54,]      0
[55,]      0
[56,]      0
[57,]      0
[58,]      0
[59,]      0
[60,]      0
[61,]      0
[62,]      0
[63,]      0
[64,]      0
[65,]      0
[66,]      0
[67,]      0
[68,]      0
[69,]      0
[70,]      0
[71,]      0
[72,]      0
[73,]      0
[74,]      0
[75,]      0
[76,]      0
[77,]      0
[78,]      0
[79,]      0
[80,]      0
[81,]      0
[82,]      0
[83,]      0
[84,]      0
[85,]      0
[86,]      0
[87,]      0
[88,]      0
[89,]      0
[90,]      0
[91,]      0
[92,]      0
[93,]      0
[94,]      0
[95,]      0
[96,]      0
[97,]      0
[98,]      0
[99,]      0
[100,]      0
[101,]      0
[102,]      0
[103,]      0
[104,]      0
[105,]      0
[106,]      0
[107,]      0
[108,]      0
[109,]      0
[110,]      0
[111,]      0
[112,]      0
[113,]      0
[114,]      0
[115,]      0
[116,]      0
[117,]      0
[118,]      0
[119,]      0
[120,]      0
[121,]      1
[122,]      0
[123,]      0
[124,]      0
[125,]      0
[126,]      0
[127,]      0
[128,]      0
```

QuantumOps documentation built on Feb. 3, 2020, 5:07 p.m.