Quantum Computing Hardware

Which statement about a qubit is correct?

  1. AIt is an analog storage element that holds a voltage between 0 and 1, and reading it returns that intermediate value
  2. BIt can be in a superposition of |0⟩ and |1⟩, and measuring it gives either 0 or 1 at random
  3. CBecause it holds 0 and 1 at the same time, a single measurement reads out both values, 0 and 1
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Answer: B. It can be in a superposition of |0⟩ and |1⟩, and measuring it gives either 0 or 1 at random

The state of a qubit can be written α|0⟩ + β|1⟩, where α and β are complex numbers (probability amplitudes) that satisfy |α|² + |β|² = 1. A measurement gives 0 with probability |α|² and 1 with probability |β|², and the state changes to match the result. A superposition is not a value halfway between 0 and 1: a measurement always gives either 0 or 1. A single measurement yields only one bit of information, and the values of α and β cannot be read out directly.

  • A. A measurement gives either 0 or 1, never an intermediate value. Probability amplitudes cannot be read out like a continuous quantity such as a voltage.
  • B. Correct. A measurement gives 0 with probability |α|² and 1 with probability |β|².
  • C. A single measurement gives only one of 0 or 1. Thinking of a superposition as a state in which both values can be read at once is a common misconception.
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More Quantum Computing Hardware questions

  1. A qubit is in the state (√3/2)|0⟩ + (1/2)|1⟩. What is the probability of getting 1 when it is measured?
  2. When the state of a single qubit is represented on the Bloch sphere, what state does a point on the equator represent?
  3. How many probability amplitudes (complex numbers) are needed to describe a general state of a system of 10 qubits?
  4. The state vector (all the probability amplitudes) of 50 qubits is stored in the memory of a classical computer as double-precision complex numbers of 16 bytes each. Which is closest to the memory required?
  5. Two qubits are in the entangled state (|00⟩ + |11⟩)/√2. Which statement is correct?