A Lambda Calculus for Quantum Computation

The classical lambda calculus may be regarded both as a programming language and as a formal algebraic system for reasoning about computation. It provides a computational model equivalent to the Turing machine, and continues to be of enormous benefit in the classical theory of computation. We propose that quantum computation, like its classical counterpart, may benefit from a version of the lambda calculus suitable for expressing and reasoning about quantum algorithms. In this paper we develop a quantum lambda calculus as an alternative model of quantum computation, which combines some of the benefits of both the quantum Turing machine and the quantum circuit models. The calculus turns out to be closely related to the linear lambda calculi used in the study of Linear Logic. We set up a computational model and an equational proof system for this calculus, and we argue that it is equivalent to the quantum Turing machine.


http://arxiv.org/pdf/quant-ph/0307150v5.pdf

WAT DO U WANT, SUSSMAN?

>>2
Sussman wants quantum computers.

Also, which mathematical theorem do you like more?

>>1

Thanks, I found this very interesting. Is there also a quantum pi calculus somewhere? That would be quite cool to play with.

Couldn't find any reference.

I wish I knew pi-calculus. Sadly, I don't know shit about threads and always use a half-assed scheduler for all my programs.

>>5
It's okay, multithreading becomes trivial after you learn ^MO_NADS.

^GO_NADS

>>5

It is an extremely simplified model of concurrency, all real world quirks stripped away:

http://golem.ph.utexas.edu/category/2009/09/the_pi_calculus_ii.html

This is a good post.

>>6
It's okay, multicumming becomes trivial after you hax ^MY _ANUS.

>>8
You HELPED ME!

>>10

It is an anomaly here.