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Measurements in two bases are sufficient for certifying high-dimensional entanglement
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High-dimensional encoding of quantum information provides a promising method of transcending current limitations in quantum communication. One of the central challenges in the pursuit of such an approach is the certification of high-dimensional entanglement. In particular, it is desirable to do so without resorting to inefficient full state tomography. Here, we show how carefully constructed measurements in two bases (one of which is not orthonormal) can be used to faithfully and efficiently certify bipartite high-dimensional states and their entanglement for any physical platform. To showcase the practicality of this approach under realistic conditions, we put it to the test for photons entangled in their orbital angular momentum. In our experimental setup, we are able to verify 9-dimensional entanglement for a pair of photons on a 11-dimensional subspace each, at present the highest amount certified without any assumptions on the state.
Forward citations
Cited by 4 Pith papers
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Detecting high-dimensional entanglement with simple measurements
A witness method detects high-dimensional Schmidt numbers using only strings of single-qubit Pauli measurements, demonstrated up to 16-dimensional photonic entanglement.
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A witness framework certifies when a unitary cannot be realized by a prescribed quantum circuit architecture, with SDP and LP relaxations and analytical Clifford bounds.
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Entanglement certification and quantification in spatial-bin photonic qutrits
For pure bipartite qutrit states, the paper derives and experimentally applies analytic relations between statistical correlation measures and the entanglement measures negativity and entanglement of formation.
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Entanglement Certification $-$ From Theory to Experiment
Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.
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