# Build Your Own Quantum Computer for Fun and Profit! - PowerPoint PPT Presentation

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Build Your Own Quantum Computer for Fun and Profit!. Stephen Granade. Bits are 1s and 0s (i.e. base 2). 168421. 1. 0. 0. 1. 1. 1621. + +. = 19. Save Us, Gordon Moore!. Parallel Computation Takes More Space. Photo credit: pure_martin. Light Polarization States.

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Build Your Own Quantum Computer for Fun and Profit!

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## Build Your Own Quantum Computer for Fun and Profit!

168421

1

0

0

1

1

1621

+ +

= 19

### Parallel ComputationTakes More Space

Photo credit: pure_martin

### Light Polarization States

Vertical light:

Horizontal light:

A mix:

Amplitudes

Square for probabilities:

### What’s Going On With The 3 Polarizers

Vertical polarizer:

### What’s Going On With The 3 Polarizers

Vertical polarizer:

45 degree polarizer:

Horizontal polarizer:

### Bits Hold 1 NumberQubits Can Hold All Numbers!

3-Bit Number

3-Qubit Number

Superposition makes

this possible

### Tangent: Entanglement Happens When One Qubit’s State Depends on Another’s

Entangled

Not Entangled

If you measure the firstqubit and it’s 0, you knowthe second qubit is 0 too.They’re entangled!

If you measure the firstqubit and it’s 0, you don’tknow the second qubit.

They’re independent!

### You Can Add All Numbers At Once!

Classical Computer

Quantum Computer

Public

Private

### Turning Factoring into Period Finding

If n has the factors p and q,then, if you pick a random x,the above sequence has aperiod that evenly dividesinto (p-1)(q-1)

Leonhard Euler

### Shor’s Algorithm is Fast

Classical factoring

Shor’s Algorithm

### Grover’s Algorithm Finds Stuff Quickly

Searches unsorted data

Photons

Trapped Ions

Optical Lattice

Liquid NMR

Spintronics

### 7-Qubit Computer from IBM

2001. Chuang et. al.

Factored

15

3

5

### Quantum Computer Onna Chip

Sadly I have no good pictures of the group or its research besides this graphic from the cover of Science