Rigidity and a common framework for mutually unbiased bases and k ‐nets
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DOI: 10.1002/jcd.21750
Abstract: Many deep connections have been observed between collections of mutually unbiased bases (MUBs) and combinatorial designs called k ‐nets (and in particular, between collections of MUBs and finite affine planes). Here we introduce the notion… read more here.
Keywords: unbiased bases; rigidity; common framework; mutually unbiased ... See more keywords
Constructing Entanglement Witnesses from Two Mutually Unbiased Bases
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DOI: 10.1007/s10773-020-04689-6
Abstract: We study entanglement witnesses (EWs) and construct a linear map by taking two groups of mutually unbiased bases (MUBs) of two Hilbert spaces. We provide two new relations about matrices (may not be square matrices)… read more here.
Keywords: mutually unbiased; unbiased bases; witnesses two; entanglement witnesses ... See more keywords
Mutually Unbiased Property of Special Entangled Bases
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DOI: 10.1007/s10773-021-04840-x
Abstract: We study mutually unbiased bases formed by special entangled basis with fixed Schmidt number 2 (MUSEB2s) in $\mathbb {C}^{3}\otimes \mathbb {C}^{4p} (p\in \mathbb {Z}^{+})$ . Through analyzing the conditions MUSEB2s satisfy, a systematic way of… read more here.
Keywords: special entangled; mutually unbiased; mathbb mathbb; mathbb otimes ... See more keywords
Trace-2 excluded subsets of special linear groups over finite fields and mutually unbiased maximally entangled bases
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DOI: 10.1007/s11128-019-2330-6
Abstract: Mutually unbiased maximally entangled bases (MUMEBs) in bipartite systems have a close relation with unitary 2-design and have attracted much attention in recent years. In the paper, we construct MUMEBs in $$\mathbb {C}^q\otimes \mathbb {C}^q$$Cq⊗Cq… read more here.
Keywords: trace excluded; unbiased maximally; mutually unbiased; trace ... See more keywords
Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases
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DOI: 10.1038/s41598-019-44570-z
Abstract: We present a quantum information theoretic version of the Klein-Nishina formula. This formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce the polarisation property of single photons. The Kraus-type… read more here.
Keywords: entanglement compton; mutually unbiased; unbiased bases; witnessing entanglement ... See more keywords