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
Unextendible maximally entangled bases in $${\mathbb {C}}^{pd}\otimes {\mathbb {C}}^{qd}$$Cpd⊗Cqd
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DOI: 10.1007/s11128-018-2094-4
Abstract: The construction of unextendible maximally entangled bases is tightly related to quantum information processing like local state discrimination. We put forward two constructions of UMEBs in $${\mathbb {C}}^{pd}\otimes {\mathbb {C}}^{qd}$$Cpd⊗Cqd($$p\le q$$p≤q) based on the constructions… read more here.
Keywords: mathbb otimes; entangled bases; maximally entangled; unextendible maximally ... See more keywords
Norm Ratios Under a Weak Order Relation in Mm⊗Mn${\mathbb {M}}_{m}\otimes {\mathbb {M}}_{n}$
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DOI: 10.1007/s40306-018-0260-5
Abstract: In the real Hilbert space of self-adjoint elements of the tensor product Mm⊗Mn${\mathbb {M}}_{m}\otimes {\mathbb {M}}_{n}$, there are two natural cones besides the cone P0${\mathfrak {P}}_{0}$ of positive semi-definite elements. The one is and the… read more here.
Keywords: weak order; order relation; mathbb otimes; mathfrak ... See more keywords