Braiding operators are universal quantum gates

  title={Braiding operators are universal quantum gates},
  author={Louis H. Kauffman and Samuel J. Lomonaco},
This paper explores the role of unitary braiding operators in quantum computing. We show that a single specific solution R (the Bell basis change matrix) of theYang–Baxter equation is a universal gate for quantum computing, in the presence of local unitary transformations.We show that this sameRgenerates a new non-trivial invariant of braids, knots and links. Other solutions of the Yang– Baxter equation are also shown to be universal for quantum computation. The paper discusses these results in… CONTINUE READING
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