Generalized Toffoli gates using qudit catalysis

TY - JOUR

T1 - Generalized Toffoli gates using qudit catalysis

AU - Ionicioiu, Radu

AU - Spiller, Timothy P.

AU - Munro, William J.

PY - 2009/8/6

Y1 - 2009/8/6

N2 - We present quantum networks for a n -qubit controlled gate Cn-1 (U) which use a higher-dimensional (qudit) ancilla as a catalyzer. In its simplest form the network has only n two-particle gates (qubit-qudit)-this is the minimum number of two-body interactions needed to couple all n+1 subsystems (n qubits plus one ancilla). This class of controlled gates includes the generalized Toffoli gate Cn-1 (X) on n qubits, which plays an important role in several quantum algorithms and error correction. A particular example implementing this model is given by the dispersive limit of a generalized Jaynes-Cummings Hamiltonian of an effective spin s interacting with a cavity mode.

AB - We present quantum networks for a n -qubit controlled gate Cn-1 (U) which use a higher-dimensional (qudit) ancilla as a catalyzer. In its simplest form the network has only n two-particle gates (qubit-qudit)-this is the minimum number of two-body interactions needed to couple all n+1 subsystems (n qubits plus one ancilla). This class of controlled gates includes the generalized Toffoli gate Cn-1 (X) on n qubits, which plays an important role in several quantum algorithms and error correction. A particular example implementing this model is given by the dispersive limit of a generalized Jaynes-Cummings Hamiltonian of an effective spin s interacting with a cavity mode.

UR - http://www.scopus.com/inward/record.url?scp=68549115454&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.80.012312

DO - 10.1103/PhysRevA.80.012312

M3 - Article

AN - SCOPUS:68549115454

SN - 1050-2947

VL - 80

JO - Physical Review A

JF - Physical Review A

IS - 1

M1 - 012312

ER -