Qubits Under Pressure: A Research-Level Quiz
From error-correction thresholds to quantum complexity, test how deep your understanding of quantum computing really goes.
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Fraag 1
Which gate set is universal for quantum computation?
- Clifford gates plus the T gate
- Pauli gates plus the phase gate S
- Pauli gates plus Hadamard
- CNOT plus all Pauli gates
Fraag 2
Which complexity class is defined by bounded-error polynomial-time quantum computation?
- QMA
- BQP
- PostBQP
- QIP
Fraag 3
What are the parameters of the Steane code?
- [[15,1,3]]
- [[9,1,3]]
- [[7,1,3]]
- [[4,2,2]]
Fraag 4
What query complexity does Grover's algorithm achieve for unstructured search over N items?
- O(log N)
- O(N/2)
- O(N^(1/3))
- O(√N)
Fraag 5
In the surface code, what kind of error-correction threshold is often quoted under circuit-level depolarizing noise?
- About 1%
- About 0.001%
- About 10%
- About 25%
Fraag 6
The Gottesman–Knill theorem states that which circuits can be efficiently classically simulated?
- Circuits of matchgates only
- Stabilizer circuits
- Circuits with low T-count
- Circuits of depth one
Fraag 7
What subroutine gives Shor's algorithm its exponential speedup?
- Amplitude amplification
- Quantum walk on a graph
- Quantum Fourier transform for period finding
- Adiabatic evolution to a ground state
Fraag 8
Which result says no fault-tolerant code has a transversal universal gate set?
- Solovay–Kitaev theorem
- No-cloning theorem
- Threshold theorem
- Eastin–Knill theorem
Fraag 9
Why is the transmon less sensitive to charge noise than the Cooper-pair box?
- A large E_J/E_C ratio flattens its energy bands
- It uses no Josephson junction at all
- Its qubit states are spatially separated
- It operates far above the gap frequency
Fraag 10
What does the Solovay–Kitaev theorem guarantee for approximating a single-qubit unitary to precision ε?
- Exactly ε^(−1) gates from any set
- O(log^c(1/ε)) gates from a dense set
- Constant-depth circuits for every ε
- O(1/ε²) gates from Clifford gates
