Build Your Own Quantum Computer for Fun and Profit!

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

Build Your Own Quantum Computer for Fun and Profit!. Stephen Granade. Bits are 1s and 0s (i.e. base 2). 16 8 4 2 1. 1. 0. 0. 1. 1. 16 2 1. + +. = 19. Save Us, Gordon Moore!. Parallel Computation Takes More Space. Photo credit: pure_martin. Light Polarization States.

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Presentation Transcript

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

Bits are 1s and 0s (i.e. base 2)

16 8 4 2 1

1

0

0

1

1

16 2 1

+ +

= 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

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

There are Lots of Ways to Make a Quantum Computer

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