TY - GEN

T1 - Scalable quantum consensus for crash failures

AU - Chlebus, Bogdan S.

AU - Kowalski, Dariusz R.

AU - Strojnowski, Michał

PY - 2010/12/13

Y1 - 2010/12/13

N2 - We present a scalable quantum algorithm to solve binary consensus in a system of n crash-prone quantum processes. The algorithm works in O(polylog n) time sending O(n polylog n) qubits against the adaptive adversary. The time performance of this algorithm is asymptotically better than a lower bound Ω(√n/log n) on time of classical randomized algorithms against adaptive adversaries. Known classical randomized algorithms having each process send O(polylog n) messages work only for oblivious adversaries. Our quantum algorithm has a better time performance than deterministic solutions, which have to work in Ω(t) time for t < n failures.

AB - We present a scalable quantum algorithm to solve binary consensus in a system of n crash-prone quantum processes. The algorithm works in O(polylog n) time sending O(n polylog n) qubits against the adaptive adversary. The time performance of this algorithm is asymptotically better than a lower bound Ω(√n/log n) on time of classical randomized algorithms against adaptive adversaries. Known classical randomized algorithms having each process send O(polylog n) messages work only for oblivious adversaries. Our quantum algorithm has a better time performance than deterministic solutions, which have to work in Ω(t) time for t < n failures.

UR - http://www.scopus.com/inward/record.url?scp=78649814410&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649814410&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-15763-9_24

DO - 10.1007/978-3-642-15763-9_24

M3 - Conference contribution

AN - SCOPUS:78649814410

SN - 3642157629

SN - 9783642157622

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 236

EP - 250

BT - Distributed Computing - 24th International Symposium, DISC 2010, Proceedings

T2 - 24th International Symposium on Distributed Computing, DISC 2010

Y2 - 13 September 2010 through 15 September 2010

ER -