Is the Smith Shopping Cart set up to store a shopping cart to a particular user?

Examples:

1) User A logs in adds two items to his shopping cart, but does not check out.

User A logs out.

User B logs in on same computer.

Should User B see User A's shopping cart or should it be blank (assuming User B has never added an item to their shopping cart?)

2) User A logs in and adds two items to his shopping cart, but does not check out.

User A logs out.

User A logs in on another workstation, one day later.  Should his shopping cart be blank or still have the two items?

So the overall question is whether when a user adds items to the shopping cart, if that is saved with the user.

Thanks.