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Quantum computation by measurements

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arxiv quant-ph/0310189 v2 pith:GDSWG6MP submitted 2003-10-31 quant-ph

classification quant-ph
keywords measurementsqubituniversalitycomputationconstructionmethodsquant-phquantum
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A resource- and computationally-efficient protocol for multipartite entanglement distribution in Bell-pair networks

    quant-ph 2024-12 conditional novelty 6.0 of 10

    A greedy star-merging protocol distributes GHZ states over arbitrary Bell-pair networks with O(N) gates, N-1 Bell pairs in the complete case, and a polynomial-time alternative to Steiner-tree-based methods.

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