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A BETTER WAY TO DE-SHELVE 137 BA + Andrea Katz Trinity University UW REU 2010

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Page 1: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

A BETTER WAY TO DE-SHELVE 137BA+

Andrea KatzTrinity University

UW REU 2010

Review of Quantum Computing

Traditional computers use bits, which can only be either 0 or 1.

Quantum computing employs qubits, which can be any linear combination of 0 and 1.

Quantum computers could quickly factor large numbers (Shor’s algorithm) and break RSA encryption

Page 3: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

How Do We Make a Qubit?

We can implement a qubit by allowing two energy levels in a trapped ion to be the two states of the qubit.

Paul traps:

http://depts.washington.edu/qcomp/pdfs/matt_thesis.pdf

Page 4: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

Ba+ as a Qubit

Simplified energy level diagram for 137Ba+

Page 5: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

Overview of my project

Produce an orange beam by sending an infrared laser beam through a PPLN waveguide

Align the orange beam and get it to the ion trap

Set up a double passed acousto-optic modulator and a Fabry-Perot cavity to help with laser stabilization

Page 6: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

Getting Orange from Infrared

IR LaserAOM

Coupler

PPLN wave-guide

Polarization Paddles

To Cavity

To Ion

Page 7: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

PPLN Waveguides

PPLN (Periodically poled lithium niobate) crystals have a periodic reversal of domain orientation

Non-linearity of the crystal allows for second harmonic generation

PPLN crystals are more efficient than other non-linear crystals for second harmonic generation because of x2 nonlinearity

Using a waveguide instead of a regular crystal also increases SHG efficiency

Page 8: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

Phase Matching in PPLN

Phase matching is essential for efficient second harmonic generation!

We can adjust temperature to achieve phase matching.

http://www.thorlabs.com/catalogPages/693.pdf

Page 9: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

Fabry-Perot Cavities and Stabilization

Only certain wavelengths of light are resonant within the cavity, those in which an integer number of wavelengths fit inside the cavity.

We can “lock” the laser to the transmission peak closest to our desired wavelength.

http://www.int.washington.edu/REU/2009/2009_images/Adams_and_Davis.pdf

Page 10: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

Future Steps

Complete laser stabilization at the right wavelength

Use the orange beam to de-shelve 137Ba+!

Page 11: Review of Quantum Computing Traditional computers use bits, which can only be either 0 or 1. Quantum computing employs qubits, which can be any linear

References:

Adams, Corey and Anya Davis. “Quantum Computing with Trapped Ions and Laser Cooling.” http://www.int.washington.edu/REU/2009/2009_images/Adams_and_Davis.pdf

Dietrich, M.R. Barium Ions for Quantum Computation. http://depts.washington.edu/qcomp/pdfs/matt_thesis.pdf

“Periodically Poled Lithium Niobate (PPLN)- Tutorial.” http://www.thorlabs.com/

catalogPages/693.pdf

Thanks to Boris Blinov and the Trapped Ion Quantum Computing

Group!

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