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Quantum subroutine problem and the robustness of quantum complexity classes | | Harumichi Nishimura
; Masanao Ozawa
; | | Date: |
18 Jul 2001 | | Subject: | quant-ph | | Abstract: | This paper positively solves the quantum subroutine problem for fully quantum oracles. The quantum subroutine problem asks whether a quantum computer with an efficiently computable oracle can be efficiently simulated by a non-oracle quantum computer. We extends the earlier results obtained by Bennett, Bernstein, Brassard, and Vazirani, and by Aharonov, Kitaev, and Nisan to the case where the oracle evaluates a unitary operator and the computer is allowed to be in the superposition of a query state and a non-query state during computation. We also prove the robustness of {f EQP}, {f BQP}, and {f ZQP} under the above general formulation, extending the earlier results on the robustness of {f BQP} shown by Bennett et al. | | Source: | arXiv, quant-ph/0107089 | | Services: | Forum | Review | PDF | Favorites | |
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