TY - JOUR
T1 - Higher-order methods for simulations on quantum computers
AU - Sornborger, A. T.
AU - Stewart, E. D.
PY - 1999
Y1 - 1999
N2 - To implement many-qubit gates for use in quantum simulations on quantum computers efficiently, we develop and present methods reexpressing [Formula Presented] as a product of factors [Formula Presented] [Formula Presented], which is accurate to third or fourth order in [Formula Presented]. The methods we derive are an extended form of the symplectic method, and can also be used for an integration of classical Hamiltonians on classical computers. We derive both integral and irrational methods, and find the most efficient methods in both cases.
AB - To implement many-qubit gates for use in quantum simulations on quantum computers efficiently, we develop and present methods reexpressing [Formula Presented] as a product of factors [Formula Presented] [Formula Presented], which is accurate to third or fourth order in [Formula Presented]. The methods we derive are an extended form of the symplectic method, and can also be used for an integration of classical Hamiltonians on classical computers. We derive both integral and irrational methods, and find the most efficient methods in both cases.
UR - http://www.scopus.com/inward/record.url?scp=0010225103&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.60.1956
DO - 10.1103/PhysRevA.60.1956
M3 - Article
AN - SCOPUS:0010225103
SN - 1050-2947
VL - 60
SP - 1956
EP - 1965
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
ER -