/ 02 06 06 3 v 2 30 S ep 2 00 3 Mixed state geometric phases , entangled systems , and local unitary transformations
نویسندگان
چکیده
Marie Ericsson, Arun K. Pati, Erik Sjöqvist, Johan Brännlund, and Daniel. K. L. Oi Department of Quantum Chemistry, Uppsala University, Box 518, Se-751 20 Sweden Institute of Physics, Bhubaneswar-751005, Orissa, India SCFAB, Department of Physics, Stockholm University, Se-106 91 Stockholm, Sweden Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, UK
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The group of local unitary transformations acts on the space of n-qubit pure states, decomposing it into orbits. In a previous paper we proved that a product of singlet states (together with an unentangled qubit for a system with an odd number of qubits) achieves the smallest possible orbit dimension, equal to 3n/2 for n even and (3n+ 1)/2 for n odd, where n is the number of qubits. In this pap...
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