TY - JOUR
T1 - Fault tolerance with noisy and slow measurements and preparation
AU - Paz-Silva, Gerardo A.
AU - Brennen, Gavin K.
AU - Twamley, Jason
N1 - Gerardo A. Paz-Silva, Gavin K. Brennen, and Jason Twamley, Phys. Rev. Lett. 105, 100501 (2010) [4 pages]. Copyright (2010) by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevLett.105.100501.
PY - 2010/8/30
Y1 - 2010/8/30
N2 - It is not so well known that measurement-free quantum error correction protocols can be designed to achieve fault-tolerant quantum computing. Despite their potential advantages in terms of the relaxation of accuracy, speed, and addressing requirements, they have usually been overlooked since they are expected to yield a very bad threshold. We show that this is not the case. We design fault-tolerant circuits for the 9-qubit Bacon-Shor code and find an error threshold for unitary gates and preparation of p(p,g)thresh=3.76×10 -5 (30% of the best known result for the same code using measurement) while admitting up to 1/3 error rates for measurements and allocating no constraints on measurement speed. We further show that demanding gate error rates sufficiently below the threshold pushes the preparation threshold up to p(p)thresh=1/3.
AB - It is not so well known that measurement-free quantum error correction protocols can be designed to achieve fault-tolerant quantum computing. Despite their potential advantages in terms of the relaxation of accuracy, speed, and addressing requirements, they have usually been overlooked since they are expected to yield a very bad threshold. We show that this is not the case. We design fault-tolerant circuits for the 9-qubit Bacon-Shor code and find an error threshold for unitary gates and preparation of p(p,g)thresh=3.76×10 -5 (30% of the best known result for the same code using measurement) while admitting up to 1/3 error rates for measurements and allocating no constraints on measurement speed. We further show that demanding gate error rates sufficiently below the threshold pushes the preparation threshold up to p(p)thresh=1/3.
UR - http://www.scopus.com/inward/record.url?scp=77956278111&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.105.100501
DO - 10.1103/PhysRevLett.105.100501
M3 - Article
C2 - 20867497
AN - SCOPUS:77956278111
SN - 0031-9007
VL - 105
SP - 1
EP - 4
JO - Physical Review Letters
JF - Physical Review Letters
IS - 10
M1 - 100501
ER -