5
advanced-math

A quantum computer's qubit count follows Moore's Law variant: Q(t)=10⋅2t/1.5Q(t) = 10 \cdot 2^{t/1.5} where tt is years. How many qubits after 6 years?

A

160 qubits

B

80 qubits

C

40 qubits

D

320 qubits

Correct Answer: A

Choice A is the correct answer. Evaluate at t=6t = 6.

  1. Substitute: Q(6)=10⋅26/1.5=10⋅24Q(6) = 10 \cdot 2^{6/1.5} = 10 \cdot 2^4.
  2. Calculate: 24=162^4 = 16.
  3. Result: 10×16=16010 \times 16 = 160 qubits.

💡 Strategic Tip: Doubling every 1.5 years means 4 doublings in 6 years.

Choice B is incorrect because this is only 3 doublings. Choice C is incorrect because this is only 2 doublings. Choice D is incorrect because this is 5 doublings.

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Set 39: Exponential Functions 39