What happens to qubits if Swap Test fails?

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SUMMARY

The discussion centers on the implications of a failed Swap Test in quantum computing, specifically regarding the states of target qubits. When the target qubits |A> and |B> are not identical, the outcome of the swap test results in a mixed state represented as 0.5|A> PREREQUISITES

  • Understanding of quantum states and superposition
  • Familiarity with the concept of qubits in quantum computing
  • Knowledge of quantum measurement and mixed states
  • Basic grasp of the Swap Test and its applications
NEXT STEPS
  • Research the mathematical formulation of mixed states in quantum mechanics
  • Explore the implications of quantum measurement on qubit states
  • Learn about the applications of the Swap Test in quantum algorithms
  • Investigate the role of entanglement in quantum state transformations
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Quantum computing researchers, students studying quantum mechanics, and professionals interested in quantum algorithm development will benefit from this discussion.

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Suppose the target qubits were |A> and |B>, and they are not equal. After the swap test do they both become the mixed state:

[tex]0.5\left| A\right>\left< A\right| + 0.5\left| B\right>\left< B\right|[/tex]

??
 

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