{"id":286,"date":"2012-10-31T06:35:15","date_gmt":"2012-10-31T13:35:15","guid":{"rendered":"http:\/\/www.dabacon.org\/caelifera\/?p=286"},"modified":"2012-10-31T06:35:15","modified_gmt":"2012-10-31T13:35:15","slug":"inspirations-from-a-theoreticians-life","status":"publish","type":"post","link":"https:\/\/dabacon.org\/caelifera\/2012\/10\/31\/inspirations-from-a-theoreticians-life\/","title":{"rendered":"Inspirations from a Theoretician’s Life"},"content":{"rendered":"

Brainstorming ideas from my former life as a theoretical physicist (once a physicists, always a physicist?) that might serve as some sort of design inspiration.<\/p>\n

Quantum error correcting codes<\/strong><\/p>\n

Peter Shor came up with the original\u00a09 qubit quantum error correcting code<\/a><\/p>\n

\"\"<\/a><\/p>\n

By trying to put it on a lattice, I discovered that it could be changed into a different kind of code<\/a>, that was both more complicated conceptually, but simpler when implemented<\/p>\n

\"\"<\/a><\/p>\n

And when you try the same thing on Archimedian tilings<\/a>, you get all sorts of fun codes<\/a><\/p>\n

\"\"<\/a>\"\"<\/a>\"\"<\/a><\/p>\n

Communication cost of simulating entanglement<\/strong><\/p>\n

Protocols for simulating measurements on a Bell pair<\/a>\u00a0use some interesting geometry on spheres<\/p>\n

\"\"<\/a><\/p>\n

To figure out how these protocols work, Ben Toner and I used some fun integrals<\/p>\n

\"\"<\/a><\/p>\n

Exchange interactions<\/strong><\/p>\n

Back in my Ph.D. days I thought a lot about exchange interactions. \u00a0This is an interaction that acts to exchange two qubits, and while it would seem to not be that powerful it turns out that you can build a quantum computer just using exchange interactions. \u00a0These looks like hills, but its really how to perform a controlled-phase gate using only exchange interactions<\/a><\/p>\n

\"\"<\/a><\/p>\n

Into the Third Dimension<\/strong><\/p>\n

The two dimensional subsystem code, has a few three dimensional cousins, of which here is one.<\/p>\n

\"\"<\/a><\/p>\n

Local subsystem codes (unpublished)<\/strong><\/p>\n

This is a dictionary of sorts for turning a quantum circuit into a quantum subsystem code<\/p>\n

\"\"<\/a><\/p>\n

It yields interesting constructions. \u00a0Here a cat state is used to measure a four qubit stabilizer<\/p>\n

\"\"<\/a><\/strong><\/p>\n

<\/div>\n","protected":false},"excerpt":{"rendered":"

Brainstorming ideas from my former life as a theoretical physicist (once a physicists, always a physicist?) that might serve as some sort of design inspiration. Quantum error correcting codes Peter Shor came up with the original\u00a09 qubit quantum error correcting code By trying to put it on a lattice, I discovered that it could be … <\/p>\n

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