Goswami and others at Hamburg exploit a way of representing the state space of a quantum system as a geometric globe, known as a Bloch sphere. They then represent the location of cities as quantum states on a Bloch sphere. So the process of travelling from one city to the next can be achieved through a series of rotations of the sphere.
Up to approximately 9 cities with a single quit
No one has yet designed a quantum computer that I know of,
Specifically for the purpose of working with bloch spheres.
My note for the day though is this:
Light finds the geodesic it always does
Light always finds the fastest route through any complicated assembly of materials having varying refractive indices it always does that's because it's traveling faster than anything else for one reason
The inverse of the traveling salesman City visiting problem happens to be the critical path problem... for very large projects this is important
I'm working with matrix exponentiation and the critical path problem and finding ways of combining stage information which leads from a start to a finish with time information which determines the weight of the various paths
There is a way and I think there is a way even in mathcad 6.0 Plus which is my favorite !
To add differential equations to the statement of the problem...
I've done this before in kinematics .
Adding the partial differential equations relating the various parts of the problem with each other takes only one statement for each relationship.
This is completely different from putting a weight on each edge of a graph and then hoping you can finally find the shortest rather than the longest path .
When you do it this way and it is analogous to the quantum way ,
The solution obtains quickly !
Now I have to go and boot some old XP machine and virtual space and it's got math CAD on it but the XP was never registered so I have to go register it using a 42 digit number provided by Microsoft over a telephone line using language
The reason I have to do this is because when PTC bought mathsoft they pulled the solver out of it .
The version I have has the maple solver .
The current version absolutely does not have it .
It certainly makes a difference .
Let me see if I can find some find some physics content here ...
Let's say you want to solve Schrodinger's equation ,
And you want to do it in a quantum way ,
Or at least get an answer quickly ,
It relates to that. There, I tried .
Excuse me there's some physics content !
Dyson sphere is a very very large project Dyson belt is a very large project Automated factories are very large projects
I do that kind of stuff for a living it's hard and I'm not the best at it but I'm way out there on it
The physics content is that if we are capturing all the energy from a star.... And replicating technology using automated factories.... We get to throw probes out. Way out. Well to The next Star. At least that far so there's your physics content .
Bloch Spheres