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arxiv: math/0108060 · v2 · submitted 2001-08-08 · 🧮 math.OA · math-ph· math.MP· quant-ph

Fidelity preserving maps on density operators

classification 🧮 math.OA math-phmath.MPquant-ph
keywords densityfidelityhilbertoperatorspreservingspaceantiunitarybijective
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We prove that any bijective fidelity preserving transformation on the set of all density operators on a Hilbert space is implemented by an either unitary or antiunitary operator on the underlying Hilbert space.

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