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Surface code implementation of block code state distillation · Around

2013

Surface code implementation of block code state distillation

Fowler, Austin G., Devitt, Simon J., Jones, Cody

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State distillation is the process of taking a number of imperfect copies of a particular quantum state and producing fewer better copies.

Until recently, the lowest overhead method of distilling states |A>=(|0>+e^{i\pi/4}|1>)/\sqrt{2} produced a single improved |A> state given 15 input copies.
New block code state distillation methods can produce k improved |A> states given 3k+8 input copies, potentially significantly reducing the overhead associated with state distillation.
We construct an explicit surface code implementation of block code state distillation and quantitatively compare the overhead of this approach to the old.

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P. W. Shor, Phys. Rev. A 52
1995
Earlier work this paper cites.
R. Laflamme, C. Miquel, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
A. M. Steane, Proc. R. Soc. Lond. A 452
1996
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, quant-ph/9811052 (1998)
1998
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, J. Math. Phys. 43
2002
Earlier work this paper cites.
S. Bravyi and A. Kitaev, Phys. Rev. A 71
2005
Earlier work this paper cites.
B. W. Reichardt, Quant. Info. Proc. 4
2005
Earlier work this paper cites.
E. Knill, Nature 434
2005
Earlier work this paper cites.
D. Bacon, Phys. Rev. A 73
2006
Earlier work this paper cites.
H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.

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