Week 3 - my own writings
Table of Contents
Week 3 (Qubit by Qubit)
RECAP:
Quantum properties:
Discretness: Energy can only take certain values.
Superposition: Qubits being in a combination of two(?) states at the same time.
Interference: The state of objects adding up or cancelling out.
Entanglement: One object’s state depends on another object’s state.
Measurement: The outcome is often random and obeserving (measuring) you can change it.
Quantum mechanics: part 2
Wave-particle duality and the double-slit experiment.
- Why do quantum objects show superposition, interference, and entanglemenet?
- How should they be described (their behavior)?
Classical physics: things are either waves or particles. Which one of them should I use to describe what I see in my experiments?
Waves:
- Waves travel at a certain velocity.
- Different kinds of waves have different speeds.
- Sound waves are slower than light waves.
Waves interact with each other, they show interference. Interference can be constructive: two waves add together, or destructive: two waves cancel out.
Particles:
- Particles have mass.
- Particles have a well-defined postion or location - they are discrete.
- They move with a velocity.
Double-slit experiment is used to decide if quantum objects behave like a wave or a particle.
- Particles would leave two lines on the wall behind the two slits (discrete spots and no interference)
- Waves would leave a pattern of bright and dark lines, some waves are amplifying one another, while other waves are canceling out (interference).
Throwing electrons:
- Each electron is a discrete spot on the wall.
- After a certain amount of electrons, you get an interference pattern.
- A nice example of particle-wave duality on my opinion.
- This happens to all quantum objects
- In quantum, waves can behave as particles and particles can behave as waves.
Case study: how large can objects get and still be quantum?
Article: Wave-particle duality of C60 molecules - Markus Arndt, Olaf Naiz, Julian Vos-Andreae, Claudia Keller, Gerbrand van der Zouw & Anton Zeilinger.
State:
- A possible condition of the classical bit or qubit.
Superposition and interference are very similar: both involve overlapping waves.
Explaining discretization
In a guitar, a string can take only specific shapes when it vibrates.
Specific shapes are a result of confinement.
The idea of confinement also applys to quantum objects.
If you limit something’s movement, it will also show the same kind of discretization (either a 0 or 1), just like a guitar’s string.
What confines quantum objects?
- trapped ions quantum computers, AKA as some sort of artificial atoms.
- Superconductiing computers, confinements are virtually created.
The unanswered questions.
- Entanglement: Why does it happen? Is there just a mysterious link between atoms or is it something most likely more tangible and physical that we can understand?
- Why does measurument change the state of the qubit?
- Why is quantum measurument random?
and many more…
Some interpretations
- The Copenhangen Interpretation (Niels Bohr and colleagues). When a quantum state is measured, it collapses to one of the possible results of the measurument - the most accepted interpretation
- The Many Worlds Interpretation (Hugh Everett). There is no collapse going on, but when you measure it, you are splitting into a new universe.
- De Broglie-Bohm Interpretation, AKA Pilot wave theory. The wave and particle parts of the quantum object coexist, like a droplet bouncing on a puddle.
Lab 13:
Note to myself: keep an eye on LIGO Laser Interferometer Gravitational-wave obeservatory ;)
We used flytrap a bit on this week lab, a really cool thing. https://lab.quantumflytrap.com/lab
Guest speaker:
Dr. Clarice Aiello, assistant professor of ECE, UCLA Quantum Biology Tech (QuBiT) Lab.
- Quantum sensing: using quantum objects as sensors. It is proven mathematically that by using quantum objects as a sensor, your measurument is improved.
- Quantum biology: There are quantum objects inside animals that we can use and apply to our own technology.
- Spin is a merely quantum mechanical property that doesn’t have a classical equivalent. It measures how well an object interact with a magnetic field.
- There are some chemical reactions that are spin dependent. Ex: If a spin is measured by the environment to be in a state up, the chemical reaction continues to one branch. The same with the down state. And the final products of these states are different.
- We got so much to learn with nature, as it controls quantum so well. Disease treatment is a way all this knowldege can be used.
- Quantum bits can be controlled using magnetic field, same thing in quantum biology.
- Birds, turtle, butterflies migrating feel and follow the magnetic field of earth (most accepted theory)
- Quantum biology center out of UCLA. (wants to develop a quantum biology course - the first official one)
- Book: Life on the edge; (introduction to quantum biology)