Caltech Seal Computing Beyond Silicon Summer School
 

Questions

 

N.B. These questions are provided to give you something concrete to think about to exercise your understanding of the concepts introduced in lectures. Which of them you work is your choice, as is collaboration.

June 18
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June 24
July 10
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July 12
  • Hint: Apply the hybrid argument that we used to show a lower bound for the search problem.

  • Show that a quantum error correcting code that is resilient against both a bit- and a phase-flip on one qubit is also resilient against any linear error on one qubit. Verify this for the 9-qubit Shor code.

    What about linear errors on more qubits?

    Hint: Can you express any linear operation on one qubit in terms of the identity (no error), a bit-flip, a phase-flip, and a simultaneous bit and phase flip?


CBSSS Syllabus
CBSSS