Packet 6: Bonus 20
Three copies of this gate can be used to implement a SWAP gate, while a circuit consisting of this gate and the Hadamard gate is used to generate a Bell state from two 0 qubits. For 10 points each:
[10m] The three-qubit Toffoli gate generalizes what two-qubit gate?
ANSWER: Controlled-X gate [or CX gate or C-NOT gate or Controlled-NOT gate; reject “NOT (gate)”]
[10h] A shared Bell pair is needed to implement this procedure, often used alongside magic state distillation. This procedure is essentially the opposite of superdense coding.
ANSWER: quantum gate teleportation [accept quantum teleportation]
[10e] The Bell state has the maximal form of this property, meaning that its qubits are correlated even when separated at a distance.
ANSWER: quantum entanglement
<KY, Physics> | NAFTA-Packet-6
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 20 | 13.00 | 85% | 35% | 10% |
Conversion
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| 2026 NAFTA at Stanford | 01/17/2026 | ✓ | 3 | 23.33 | 100% | 100% | 33% |
| 2026 NAFTA at UBC | 01/17/2026 | ✓ | 1 | 0.00 | 0% | 0% | 0% |
| 2025 NAFTA Online | 02/14/2026 | ✓ | 3 | 10.00 | 100% | 0% | 0% |
| 2026 NAFTA at Vanderbilt | 02/14/2026 | ✓ | 1 | 20.00 | 100% | 100% | 0% |
| 2025 NAFTA at Toronto | 09/13/2025 | ✕ | 4 | 12.50 | 75% | 50% | 0% |
| 2025 NAFTA at Maryland | 09/27/2025 | ✕ | 3 | 20.00 | 100% | 67% | 33% |
| 2025 NAFTA at Harvard | 10/04/2025 | ✕ | 3 | 16.67 | 100% | 67% | 0% |
| 2025 NAFTA at Oxford | 10/11/2025 | ✓ | 4 | 7.50 | 75% | 0% | 0% |
| 2025 NAFTA at Chicago | 11/08/2025 | ✓ | 4 | 12.50 | 100% | 25% | 0% |
| 2025 NAFTA at Columbia | 11/08/2025 | ✓ | 4 | 15.00 | 75% | 50% | 25% |