# Classical and Quantum Computing: with C++ and Java Simulations

## Yorick Hardy

Language: English

Pages: 589

ISBN: 3764366109

Format: PDF / Kindle (mobi) / ePub

This is a self-contained, systematic and comprehensive introduction to all the subjects and techniques important in scientific computing. The style and presentation are readily accessible to undergraduates and graduates. A large number of examples, accompanied by complete C++ and Java code wherever possible, cover every topic.

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Which gives + l)rk + ... + am' r m, a + 1 = rm+!. Example. The number 23 (in decimal notation) has the binary representation 10111, since 24 + 22 + 2 + 1 = 23. The decimal number 101 has the binary representation 1100101, i.e. 26 + 25 + 22 + 1. ,. A procedure for finding the binary representation of a number n is to find the highest power 2m which is ::; n, subtract 2m from n, then find the highest power 2j which is ::; n - 2m , etc. Although the computer operates on binary-coded data, it is.

Constructed from NAND gates, the NAND gate is seen to be a functionally complete set itself. The AND gate and inverter form a functionally complete set. This means that any logic function realized by logic gates can be realized with the AND and NOT functions. For example the XOR gate can be represented by Figure 4.6: XOR Implemented With NAND Gates In CMOS the 4011 provides a quad two-input NAND gate. 4.2 Gates 85 4.2.6 NOR Gate The NOR gate is an OR gate followed by an inverter. The NOR.

= new Panel(); parameterPanel.setLayout(new GridLayout(2,1»; Panel nStepsPanel = new Panel(); nStepsPanel.add(new Label("no of steps = II»; nStepsPanel.add(nStepsField); Panel buttonPanel = new Panel(); buttonPanel.add(drawButton); parameterPanel.add(nStepsPanel); parameterPanel.add(buttonPanel); add("North",parameterPanel); add("Center" ,hilbertCurve); setSize(400,400); setVisible(true); } 150 Chapter 8. Recursion public static void main(String[] args) { new Hilbert()j } public void.

Algorithm. The algorithm is an important illustration of what can be achieved using the properties of quantum mechanics. Chapter 21 covers six quantum algorithms which display a significant advantage over current classical algorithms. The problems include Deutsch's, problem which cannot be solved classically, secure key distribution for cryptography, factoring and database searching. Chapter 22 discusses quantum information theory. The Von Neumann entropy is introduced, and measurement of.

VHDL . . . . . . . . . . . . · 118 6 Latches and Registers 6.1 Introduction · 119 6.2 SR Latch. · 120 6.3 D Latch · 121 6.4 JK Latch. · 122 6.5 D Register · 123 6.6 JK Register · 124 7 Synchronous Circuits 7.1 Introduction · 125 7.2 Shift Registers · 127 7.3 Binary Counter · 129 7.4 Example Program · 133 8 Recursion 8.1 Introduction · 135 8.2 Example Programs · 140 8.3 Mutual Recursion 8.4 Wavelets and Recursion. · 152 .156 8.5 Primitive Recursive.