Journal
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
Volume 2, Issue 1, Pages 33-43Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219749904000055
Keywords
quantum computation by measurements; universality
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We first consider various methods for the indirect implementation of unitary gates. We apply these methods to rederive the universality of 4-qubit measurements based on a scheme much simpler than Nielsen's original construction [quant-ph/0108020]. Then, we prove the universality of simple discrete sets of 2-qubit measurements, again using a scheme simplifying the initial construction [quant-ph/0111122]. Finally, we show how to use a single 4-qubit measurement to achieve universal quantum computation, and outline a proof for the universality of almost all maximally entangling 4-qubit measurements.
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