dorsal/arxiv
View SchemaUniversal state inversion and concurrence in arbitrary dimensions
| Authors | Pranaw Rungta, V. Buzek, Carlton M. Caves, M. Hillery, G. J. Milburn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102040 |
| URL | https://arxiv.org/abs/quant-ph/0102040 |
| DOI | 10.1103/PhysRevA.64.042315 |
Abstract
Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement of formation of two qubits in terms of what he calls the concurrence of the joint density operator. Wootters's concurrence is defined with the help of the superoperator that flips the spin of a qubit. We generalize the spin-flip superoperator to a "universal inverter," which acts on quantum systems of arbitrary dimension, and we introduce the corresponding concurrence for joint pure states of (D1 X D2) bipartite quantum systems. The universal inverter, which is a positive, but not completely positive superoperator, is closely related to the completely positive universal-NOT superoperator, the quantum analogue of a classical NOT gate. We present a physical realization of the universal-NOT superoperator.
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"abstract": "Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for\nthe entanglement of formation of two qubits in terms of what he calls the\nconcurrence of the joint density operator. Wootters\u0027s concurrence is defined\nwith the help of the superoperator that flips the spin of a qubit. We\ngeneralize the spin-flip superoperator to a \"universal inverter,\" which acts on\nquantum systems of arbitrary dimension, and we introduce the corresponding\nconcurrence for joint pure states of (D1 X D2) bipartite quantum systems. The\nuniversal inverter, which is a positive, but not completely positive\nsuperoperator, is closely related to the completely positive universal-NOT\nsuperoperator, the quantum analogue of a classical NOT gate. We present a\nphysical realization of the universal-NOT superoperator.",
"arxiv_id": "quant-ph/0102040",
"authors": [
"Pranaw Rungta",
"V. Buzek",
"Carlton M. Caves",
"M. Hillery",
"G. J. Milburn"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.042315",
"title": "Universal state inversion and concurrence in arbitrary dimensions",
"url": "https://arxiv.org/abs/quant-ph/0102040"
},
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