
C How to Program (8th Edition)
8th Edition
ISBN: 9780133976892
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 6, Problem 6.18E
What does the following
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Solving Sudoku using Grover's Algorithm
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Solving Sudoku using Grover's Algorithm
We will now solve a simple problem using Grover's algorithm, for which we do not necessarily know the solution beforehand. Our problem is a 2x2 binary sudoku, which in our case has two simple rules:
•No column may contain the same value twice
•No row may contain the same value twice
If we assign each square in our sudoku to a variable like so:
1
V V₁
V3
V2
we want our circuit to output a solution to this sudoku.
Note that, while this approach of using Grover's algorithm to solve this problem is not practical (you can probably find the solution in your head!), the purpose of this example is to demonstrate the
conversion of classical decision problems into oracles for Grover's algorithm.
Turning the Problem into a Circuit
We want to create an oracle that will help us solve this problem, and we will start by creating a circuit that identifies a correct solution, we simply need to create a classical function on a quantum circuit
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Chapter 6 Solutions
C How to Program (8th Edition)
Ch. 6 - Fill in the blanks in each of the following: C...Ch. 6 - State which of the following are true and which...Ch. 6 - Write statements to accomplish each of the...Ch. 6 - Consider a 2-by-5 integer array t. Write a...Ch. 6 - (Sales Commissions) Use a one-dimensional array to...Ch. 6 - (Bubble Sort) The bubble sort presented in Fig....Ch. 6 - Write loops that perform each of the following...Ch. 6 - Prob. 6.13ECh. 6 - (Mean, Median and Mode Program Modifications)...Ch. 6 - (Duplicate Elimination) Use a one-dimensional...
Ch. 6 - Label the elements of 3-by-5 two-dimensional array...Ch. 6 - What does the following program do?Ch. 6 - What does the following program do?Ch. 6 - (Dice Rolling) Write a program that simulates the...Ch. 6 - (Game of Craps) Write a program that runs 1000...Ch. 6 - Prob. 6.21ECh. 6 - (Total Sales) Use a two-dimensional array to solve...Ch. 6 - (Turtle Graphics) The Logo language made the...Ch. 6 - Prob. 6.24ECh. 6 - (Knights Tour: Brute-Force Approaches) In Exercise...Ch. 6 - (Eight Queens) Another puzzler for chess buffs is...Ch. 6 - (Eight Queens: Brute-Force Approaches) In this...Ch. 6 - (Duplicate Elimination) In Chapter 12, we explore...Ch. 6 - (Knights Tour: Closed Tour Test) In the Knights...Ch. 6 - (The Sieve of Eratosthenes) A prime integer is any...Ch. 6 - Prob. 6.31RECh. 6 - (Linear Search) Modify the program of Fig. 6.18 to...Ch. 6 - (Binary Search) Modify the program of Fig. 6.19 to...Ch. 6 - Prob. 6.35RECh. 6 - Prob. 6.36RECh. 6 - Prob. 6.37RE
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- Please answer Java OOP Questions.arrow_forward.NET Interactive Solving Sudoku using Grover's Algorithm We will now solve a simple problem using Grover's algorithm, for which we do not necessarily know the solution beforehand. Our problem is a 2x2 binary sudoku, which in our case has two simple rules: •No column may contain the same value twice •No row may contain the same value twice If we assign each square in our sudoku to a variable like so: 1 V V₁ V3 V2 we want our circuit to output a solution to this sudoku. Note that, while this approach of using Grover's algorithm to solve this problem is not practical (you can probably find the solution in your head!), the purpose of this example is to demonstrate the conversion of classical decision problems into oracles for Grover's algorithm. Turning the Problem into a Circuit We want to create an oracle that will help us solve this problem, and we will start by creating a circuit that identifies a correct solution, we simply need to create a classical function on a quantum circuit that…arrow_forwardNeed help with this in python!arrow_forward
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