On the power quantum computation over real Hilbert spaces

Details On the power quantum computation over real Hilbert spaces On the power quantum computation over real Hilbert spaces

2011-09-05

arxiv.org/abs/1109.0795v1

Physics

Quantum Physics

13 pages

Scientific paper

We consider the power of various quantum complexity classes with the restriction that states and operators are defined over a real, rather than complex, Hilbert space. It is well know that a quantum circuit over the complex numbers can be transformed into a quantum circuit over the real numbers with the addition of a single qubit. This implies that BQP retains its power when restricted to using states and operations over the reals. We show that the same is true for QMA(k), QIP(k), QMIP, and QSZK.

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