I'm basically looking for a program, preferably in MATLAB, which can generate random one qubit unitary operator? Thanks!
Ji forget matlab and use python.
Random one qubit unitary operator what is this :)
A qubit is what a quantum bit icant help you.. a & b or a | b unitary operators i know bitwise
The last time i hear of qubit was by a quantum computer seminar in 2005 i run away as a student and the supervisor didnt find me again. Whenever i saw him i runaway behind trees.. that was in the university of kit.
At that time my english was weak..
I am sorry I do not know MATLAB well enough to help you. But the question of random unitary maps on one qubit is interesting to me. The unitary Lie group U(2) is four-dimensional and compact. It would be interesting to know how the problem you're working on depends on the probability distribution from which you select the "random" matrix and also to know what criteria you would use to choose an appropriate distribution.
Hi Garett Leskowitz , I'm basically working out on a protocol to characterize quantum dynamics with low cost as compared to standard quantum process tomography (QPT). My program works well with some fixed gates and I was thinking to generate random unitary maps to see if I can correctly identify that without QPT. To start with I chose one qubit case. Though I'm not much concerned about the probability distribution in this scenario.
That makes sense - you seek to generate unitary maps as test cases to test your lower-cost QPT method. Sounds like very interesting work. I am familiar with the methods of state tomography in NMR but not process tomography. Seems like you could select a random quartet of values, {alpha, beta, gamma, delta} on the interval 0 to 2 pi and plug them into equation (1.28) of your thesis to get a one-qubit operator guaranteed to be unitary. That prescription also spans the entire space of U(2). A similar prescription could work for two-qubit operators if the relevant unitary operator space were appropriately parameterized. It would be interesting to see how the performance of your tomography method varies over the space of selected operators.
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