Numerical Analysis of Boosting Scheme for Scalable NMR Quantum Computation

Details Numerical Analysis of Boosting Scheme for Scalable NMR Quantum Computation Numerical Analysis of Boosting Scheme for Scalable NMR Quantum Computation

2003-05-19

arxiv.org/abs/quant-ph/0305097v9

Physical Review A 71, 022303 (2005)

Physics

Quantum Physics

14 pages, 18 figures, RevTeX4, v2,v3: typos corrected, v4: minor changes in PROGRAM 1, conforming it to the actual programs us

Scientific paper

10.1103/PhysRevA.71.022303

Among initialization schemes for ensemble quantum computation beginning at thermal equilibrium, the scheme proposed by Schulman and Vazirani [L. J. Schulman and U. V. Vazirani, in Proceedings of the 31st ACM Symposium on Theory of Computing (STOC'99) (ACM Press, New York, 1999), pp. 322-329] is known for the simple quantum circuit to redistribute the biases (polarizations) of qubits and small time complexity. However, our numerical simulation shows that the number of qubits initialized by the scheme is rather smaller than expected from the von Neumann entropy because of an increase in the sum of the binary entropies of individual qubits, which indicates a growth in the total classical correlation. This result--namely, that there is such a significant growth in the total binary entropy--disagrees with that of their analysis.

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