4 papers
NMR Quantum Calculations of the Jones Polynomial
Raimund Marx, Amr Fahmy, Louis Kauffman +5
The repertoire of problems theoretically solvable by a quantum computer recently expanded to include the approximate evaluation of knot invariants, specifically the Jones polynomia…
Optimal Control for Generating Quantum Gates in Open Dissipative Systems
T. Schulte-Herbrueggen, A. Spoerl, N. Khaneja +1
Optimal control methods for implementing quantum modules with least amount of relaxative loss are devised to give best approximations to unitary gates under relaxation. The potenti…
Optimal Control of Coupled Josephson Qubits
A. K. Spoerl, T. Schulte-Herbrueggen, S. J. Glaser +4
Quantum optimal control theory is applied to two and three coupled Josephson charge qubits. It is shown that by using shaped pulses a CNOT gate can be obtained with a trace fidelit…
Optimal Control-Based Efficient Synthesis of Building Blocks of Quantum Algorithms Seen in Perspective from Network Complexity towards Time Complexity
T. Schulte-Herbrueggen, A. K. Spoerl, N. Khaneja +1
In this paper, we demonstrate that optimal control algorithms can be used to speed up the implementation of modules of quantum algorithms or quantum simulations in networks of coup…