Multi-valued logic gates for quantum computation
Ashok Muthukrishnan and C. R. Stroud, Jr.
Phys. Rev. A 62, 052309 (2000).
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We develop a multivalued logic for quantum computing for use in multi-level
quantum systems, and discuss the practical advantages of this approach for
scaling up a quantum computer. Generalizing the methods of binary quantum
logic, we establish that arbitrary unitary operations on any number of
d-level systems (d>2) can be decomposed into logic gates that operate on
only two systems at a time. We show that such multivalued logic gates are
experimentally feasible in the context of the linear ion trap scheme for
quantum computing. By using d levels in each ion in this scheme, we reduce
the number of ions needed for a computation by a factor of log2d
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