A 2 rebit gate universal for quantum computing

Terry Rudolph; Lov Grover

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A 2 rebit gate universal for quantum computing

Terry Rudolph·Lov Grover

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Abstract

We show, within the circuit model, how any quantum computation can be efficiently performed using states with only real amplitudes (a result known within the Quantum Turing Machine model). This allows us to identify a 2-qubit (in fact 2-rebit) gate which is universal for quantum computing, although it cannot be used to perform arbitrary unitary transformations.

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Terry Rudolph, Lov Grover. 2002-10-27. A 2 rebit gate universal for quantum computing. https://arxiv.org/abs/quant-ph/0210187

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