Physics – Quantum Physics
Scientific paper
2005-11-30
Quantum Information and Computation 6(7), 606--615 (2006)
Physics
Quantum Physics
10 pages
Scientific paper
10.1117/12.617175
We study the advantage of pure-state quantum computation without entanglement over classical computation. For the Deutsch-Jozsa algorithm we present the maximal subproblem that can be solved without entanglement, and show that the algorithm still has an advantage over the classical ones. We further show that this subproblem is of greater significance, by proving that it contains all the Boolean functions whose quantum phase-oracle is non-entangling. For Simon's and Grover's algorithms we provide simple proofs that no non-trivial subproblems can be solved by these algorithms without entanglement.
Kenigsberg Dan
Mor Tal
Ratsaby Gil
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