127,128 research outputs found
Quantum particle on a Mobius strip, coherent states and projection operators
The coherent states for a quantum particle on a M\"{o}bius strip are
constructed and their relation with the natural phase space for fermionic
fields is shown. The explicit comparison of the obtained states with previous
works where the cylinder quantization was used and the spin 1/2 was introduced
by hand is given, and the relation between the geometrical phase space,
constraints and projection operators is analyzed and discussed.Comment: 14 pgs., no figure
Entanglement of Trapped-Ion Clock States
A M{\o}lmer-S{\o}rensen entangling gate is realized for pairs of trapped
Cd ions using magnetic-field insensitive "clock" states and an
implementation offering reduced sensitivity to optical phase drifts. The gate
is used to generate the complete set of four entangled states, which are
reconstructed and evaluated with quantum-state tomography. An average
target-state fidelity of 0.79 is achieved, limited by available laser power and
technical noise. The tomographic reconstruction of entangled states
demonstrates universal quantum control of two ion-qubits, which through
multiplexing can provide a route to scalable architectures for trapped-ion
quantum computing.Comment: 6 pages, 5 figure
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