And you can measure a variable whose eigenvector is not a basis vector.  The basis for measurement is usually chosen to match that of the object state.  But if you don't know the object state you can't be sure it's in your basis, you just have choose what to measure.

Brent

On 7/24/2025 5:10 AM, John Clark wrote:
On Wed, Jul 23, 2025 at 3:02 PM Alan Grayson <[email protected]> wrote:

    /> IIUC, a superposition is written as a sum of basis states,/


*Yes.*
*
*

    /> each of which will be the result of a measurement. /


*I think that's probably true but I'm surprised that you do too. Any individual experimenter will only see one basis state as a result of his measurement, but according to Hugh Everett's idea aboutMany Worlds some observer somewhere will see every possible basis state; and I think Everettwas probably correct. *
*
*
*John K Clark    See what's on my new list at Extropolis <https://groups.google.com/g/extropolis>*
w3n


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