Quantum Country in-essay question accuracy measures

These are the accuracy % scores of users’ first attempts on Quantum Country questions. These numbers are limited to traces with at least 6 months of data, i.e. to skip non-serious users—though a quick glance at the unconditioned data showed little difference.

https://docs.google.com/spreadsheets/d/1QTxpjrh7R-A5qxsChEs0T6axzpEbI0O1nTb5mqAB5go/edit?usp=drive_open&ouid=114355550989824650243

Accuracies roughly follow a power law: ~0.461x^0.171 (R^2=0.939)

Bottom ten questions, QCVC

0.4081632653
Who has made progress on using quantum
computers to simulate quantum field theory?
0.4230769231
What is the length of $|\psi\rangle$ in
the Dirac notation?
0.4538461538
What are
three common names for the $\dagger$ operation?
0.5416666667
“The eternal ___ of the world is
its ___… The fact that it is ___ is a ___. –
Albert Einstein
0.6276595745
How can you write the $jk$th component
of the matrix $M$, in terms of the Dirac notation and the
unit vectors $|e_j\rangle$?
0.6464646465
What’s a quantum circuit that can
compute the NAND of two classical bits, $x$ and $y$?
0.6588235294
How can we express the squared length
$\|M |\psi \rangle \|^2$ in terms of $M^\dagger M$?
0.6923076923
Suppose quantum computers cannot
simulate quantum gravity. What technological opportunity
would that make possible?
0.7083333333
Suppose you had a device that could
exactly determine the state of a qubit. How could such a
device be used as part of a scheme to communicate infinite
classical information, using just a single qubit?
0.7087378641
The net effect of a quantum circuit of CNOT
and single-qubit gates is to effect a ___ operation on the state
space of the qubits.

Query

WITH

withTotalTimestamp AS (SELECT *, RANK() OVER (PARTITION BY cardID, userID ORDER BY timestamp ASC) AS repetitionNumber, TIMESTAMP_DIFF(MAX(timestamp) OVER (PARTITION BY cardID, userID), MIN(timestamp) OVER (PARTITION BY cardID, userID), DAY) AS traceDays FROM `logs.reviews` WHERE isRetry IS NOT TRUE),
traces AS (SELECT * FROM withTotalTimestamp WHERE traceDays >= 180 and repetitionNumber = 1)
SELECT ANY_VALUE(essayName) AS essayName, cardID, COUNTIF(reviewMarking="remembered")/COUNT(*) AS accuracy, COUNT(*) AS N, ANY_VALUE(question) AS question FROM traces JOIN `logs.latestEssaysCards` USING (cardID) GROUP BY cardID ORDER BY essayName, accuracy