title: Minimizing resource overheads for fault-tolerant preparation of encoded states of the Steane code.
abstract: The seven-qubit quantum error-correcting code originally proposed by Steane is one of the best known quantum codes. The Steane code has a desirable property that most basic operations can be performed easily in a fault-tolerant manner. A major obstacle to fault-tolerant quantum computation with the Steane code is fault-tolerant preparation of encoded states, which requires large computational resources. Here we propose efficient state preparation methods for zero and magic states encoded with the Steane code, where the zero state is one of the computational basis states and the magic state allows us to achieve universality in fault-tolerant quantum computation. The methods minimize resource overheads for the fault-tolerant state preparation, and therefore reduce necessary resources for quantum computation with the Steane code. Thus, the present results will open a new possibility for efficient fault-tolerant quantum computation.
authors.affiliation: Frontier Research Laboratory, Corporate Research &Development Center, Toshiba Corporation, 1, Komukai Toshiba-cho, Saiwai-ku, Kawasaki-shi, 212-8582, Japan.
authors.forename: Hayato
authors.initials: H
authors.lastname: Goto
references.citation: Phys Rev Lett. 2007 May 11;98(19):190504
references.pmid: 17677613
references.citation: Sci Rep. 2013;3:2044
references.pmid: 23784512
references.citation: Sci Rep. 2014 Dec 16;4:7501
references.pmid: 25511387
references.citation: Phys Rev Lett. 2014 Sep 26;113(13):130503
references.pmid: 25302877
references.citation: Phys Rev Lett. 2006 Jan 20;96(2):020501
references.pmid: 16486553
references.citation: Nature. 2005 Mar 3;434(7029):39-44
references.pmid: 15744292
references.citation: Phys Rev Lett. 1996 Jul 29;77(5):793-797
references.pmid: 10062908