Curious Mathematica Result, Evaluating Bell Ineqality

[daverace]

Hi guys, first post, sorry if it's in the wrong place. Frequent visitor, you seem to help pretty comprehensively.

I'm using mathematica to calculate a bell inequality, with a general noisy quantum state. However, when I evaluate it, I get a sequence with an a in the result.. which isn't a declared variable. I'm not really sure what it means, and given the generality of 'a', googling it is pretty much impossible. The question I'm asking is, what on Earth is this 'a'? If it was 'i', I'd know how to start looking for a solution, but this is just strange.

I should be getting a value of 3.414 or so (maximum violation for a quantum state)

Here's an example of what I'm getting

Evaluate[B1,q=1]
Sequence[2.28222 + 0.0266136 a, 1]

Homework Equations

Here's the equations I'm using, if they're at all relevant.

x = ArcTan[q]
A = (Cos[x/2]^2)/2
B = (Sin[x/2]^2)/2
ab00 = A (2 - q)
ab01 = B (2 - q)
c = (Cos[x/2] + Sin[x/2])/4
d = (Cos[x/2] - Sin[x/2])/4
B1 = ab00 + ab00 + 2 c (q) + 2 q (A) + 2 a (B) + 2 q (d)

The Attempt at a Solution

No attempted solution, just too confused!

 

[kuruman]

I can't claim to understand exactly what you are doing here, but in the last line should you have two ab00 terms instead of one ab00 and one ab01? If yes, why bother defining ab01?

 

[daverace]

The actual terms for the X0Y0 measurements and X0Y1's are the same (hence me using ab00 twice). (edit:) The ab01 is used elsewhere in the calculations, didn't realized I'd copied it twice, by accident.

It's not the exact terms that's the problem, repetition, whether I've got the Bell Inequality right etc.

It's why has this 2.0.. + 1.00a, that a, turned up in the answer?

 

[daverace]

Haha, nevermind. I typoed the a. Man I'm stupid for not checking that. Sorry for wasting your time there :]

 

[paranormal]

Dear curious mathematician,

Thank you for reaching out and sharing your question with us. It's always exciting to see others using Mathematica for their research and calculations. From what you have described, it sounds like you are trying to evaluate a Bell inequality using a general noisy quantum state. However, you are getting a strange result with an 'a' that is not a declared variable in your equation. This can definitely be confusing and frustrating, especially when trying to find a solution.

Without seeing your code and equations, it's difficult for me to give a specific answer. However, I can offer some suggestions and ideas to help you figure out the issue. First, I would double check that all your variables and equations are correctly defined and used in your code. It's possible that you may have a typo or missing variable that is causing the 'a' to appear in your result. Additionally, it may be helpful to try simplifying your equations and inputting them into Mathematica step by step to see where the 'a' is coming from. This can help narrow down the problem and potentially lead to a solution.

If you are still unable to find a solution, I would recommend reaching out to the Mathematica community for assistance. There are many forums and online communities dedicated to discussing and troubleshooting Mathematica, and you may be able to find someone who has encountered a similar issue or has a solution for you. Additionally, you can also contact Wolfram support for further assistance with your specific problem.

In terms of your equations, they do seem relevant to your issue. It may be helpful to double check your calculations and make sure you are using the correct values for each variable. It's possible that a small error in your calculations could lead to the appearance of the 'a' in your result.

Overall, I would encourage you to keep exploring and experimenting with your code to try and find a solution. As a scientist, it's important to embrace challenges and use them as opportunities to learn and grow. I wish you the best of luck in your research and solving this curious Mathematica result.

Best,