Constant rotation of two-qubit equally entangled pure states by local quantum operations

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dc.creatorKunkri, Samir
dc.creatorPoria, Swarup
dc.creatorParashar, Preeti
dc.creatorGhosh, Sibasish
dc.date2008-11-03
dc.date.accessioned2026-07-07T10:14:52Z
dc.date.available2026-07-07T10:14:52Z
dc.descriptionWe look for local unitary operators $W_1 \otimes W_2$ which would rotate all equally entangled two-qubit pure states by the same but arbitrary amount. It is shown that all two-qubit maximally entangled states can be rotated through the same but arbitrary amount by local unitary operators. But there is no local unitary operator which can rotate all equally entangled non-maximally entangled states by the same amount, unless it is unity. We have found the optimal sets of equally entangled non-maximally entangled states which can be rotated by the same but arbitrary amount via local unitary operators $W_1 \otimes W_2$, where at most one these two operators can be identity. In particular, when $W_1 = W_2 = (i/\sqrt{2})(σ_x + σ_y)$, we get the local quantum NOT operation. Interestingly, when we apply the one-sided local depolarizing map, we can rotate all equally entangled two-qubit pure states through the same amount. We extend our result for the case of three-qubit maximally entangled state.
dc.description11 pages, Latex file
dc.identifierhttps://arxiv.org/abs/0811.0249
dc.identifierhttp://arxiv.org/abs/0811.0249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173032
dc.subjectQuantum Physics
dc.titleConstant rotation of two-qubit equally entangled pure states by local quantum operations
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