Multi-query Quantum Sums

  title={Multi-query Quantum Sums},
  author={David A. Meyer and James Pommersheim},
PARITY is the problem of determining the parity of a string f of n bits given access to an oracle that responds to a query x ∈ {0, 1, . . . , n − 1} with the x bit of the string, f(x). Classically, n queries are required to succeed with probability greater than 1/2 (assuming equal prior probabilities for all length n bitstrings), but only ⌈n/2⌉ quantum queries suffice to determine the parity with probability 1. We consider a generalization to strings f of n elements of Zk and the problem of… CONTINUE READING

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