We present an efficient protocol to securely compute the summation and multiplication of the
multiparty secure numbers via quantum states in MUBs. In our protocols, we assume the …

We investigate the unextendible maximally entangled bases (UMEBs) in C d⊗ C d and
present a 30-number UMEB construction in C 6⊗ C 6. For the higher-dimensional case, we …

We solve the unextendible maximally entangled basis (UMEB) problem in C d⊗ C d′(d≠
d′). The results show that a UMEB will always exist. In addition, there might be two sets of …

We study maximally entangled bases in bipartite systems C d⊗ C kd (k∈ Z+), which are
mutually unbiased. By systematically constructing maximally entangled bases, we present …

We systematically study the unextendible maximally entangled basis in arbitrary bipartite
spaces ℂ d⊗ ℂ d′(d< d′) C^d⊗C^d^′ d<d^′). We give an example of UMEB in ℂ 2⊗ ℂ …

The unextendible entangled basis with any arbitrarily given Schmidt number k (UEBk) in C^
d_1 ⊗ C^ d_2 C d 1⊗ C d 2 is proposed in Guo and Wu (Phys Rev A 90: 054303, 2014), 1< …

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It is known that by probabilistically mixing an arbitrary pair of pure quantum states, one of
which is entangled and the other product, in any bipartite quantum system, one always …

The unextendible product basis is generalized to the unextendible entangled basis with any
arbitrarily given Schmidt number k (UEBk) for any bipartite system C d⊗ C d′(2≤ k< d≤ …

A way of constructing the unextendible maximally entangled basis (UMEB) from the
maximally entangled basis (MEB) is proposed. Consequently, it is shown that if there is an N …