Cartan Decomposition of SU(2^n), Constructive Controllability of Spin systems and Universal Quantum Computing Export

@article{citeulike:5636962, abstract = {In this paper we provide an explicit parameterization of arbitrary unitary transformation acting on n qubits, in terms of one and two qubit quantum gates. The construction is based on successive Cartan decompositions of the semi-simple Lie group, SU(2^n). The decomposition highlights the geometric aspects of building an arbitrary unitary transformation out of quantum gates and makes explicit the choice of pulse sequences for the implementation of arbitrary unitary transformation on \$n coupled spins. Finally we make observations on the optimality of the design procedure.}, archivePrefix = {arXiv}, author = {Khaneja, Navin and Glaser, Steffen}, citeulike-article-id = {5636962}, citeulike-linkout-0 = {http://arxiv.org/abs/quant-ph/0010100}, citeulike-linkout-1 = {http://arxiv.org/pdf/quant-ph/0010100}, day = {29}, eprint = {quant-ph/0010100}, keywords = {geometry, physics, printed, quantum}, month = {Oct}, posted-at = {2009-08-25 04:22:25}, priority = {2}, title = {Cartan Decomposition of SU(2^n), Constructive Controllability of Spin systems and Universal Quantum Computing}, url = {http://arxiv.org/abs/quant-ph/0010100}, year = {2000} }

TY - JOUR ID - citeulike:5636962 L3 - citeulike-article-id:5636962 N2 - In this paper we provide an explicit parameterization of arbitrary unitary transformation acting on n qubits, in terms of one and two qubit quantum gates. The construction is based on successive Cartan decompositions of the semi-simple Lie group, SU(2^n). The decomposition highlights the geometric aspects of building an arbitrary unitary transformation out of quantum gates and makes explicit the choice of pulse sequences for the implementation of arbitrary unitary transformation on $n coupled spins. Finally we make observations on the optimality of the design procedure. TI - Cartan Decomposition of SU(2^n), Constructive Controllability of Spin systems and Universal Quantum Computing KW - geometry KW - physics KW - printed KW - quantum AU - Khaneja, Navin AU - Glaser, Steffen PY - 2000/Oct/29/ UR - http://arxiv.org/abs/quant-ph/0010100 ER -