Almost Perfect mutually unbiased bases that are sparse

A Kumar, S Maitra, S Roy - Journal of Statistical Theory and Practice, 2024 - Springer
Selected ideas of statistical designs are exploited in this paper in constructions related to
Mutually Unbiased Bases (MUBs). In dimension d, MUBs are a collection of orthonormal …

Mutually Unbiased Bases in Composite Dimensions--A Review

D McNulty, S Weigert - arXiv preprint arXiv:2410.23997, 2024 - arxiv.org
Maximal sets of mutually unbiased bases are useful throughout quantum physics, both in a
foundational context and for applications. To date, it remains unknown if complete sets of …

Resolvable block designs in construction of approximate real MUBs that are sparse

A Kumar, S Maitra - Cryptography and Communications, 2022 - Springer
Abstract Several constructions of Mutually Unbiased Bases (MUBs) borrow tools from
combinatorial objects. In this paper we focus on how one can construct Approximate Real …

Further Constructions of AMUBs for Non-prime power Composite Dimensions

A Kumar, S Maitra - arXiv preprint arXiv:2402.04231, 2024 - arxiv.org
Construction of a large class of Mutually Unbiased Bases (MUBs) for non-prime power
composite dimensions ($ d= k\times s $) is a long standing open problem, which leads to …

Complementarity in quantum walks

A Grudka, P Kurzyński, TP Polak… - Journal of Physics A …, 2023 - iopscience.iop.org
The eigenbases of two quantum observables, $\{| a_i\rangle\} _ {i= 1}^ D $ and $\{|
b_j\rangle\} _ {j= 1}^ D $, form mutually unbiased bases (MUB) if $|\langle a_i| b_j\rangle …

A Heuristic Framework to Search for Approximate Mutually Unbiased Bases

S Chaudhury, A Kumar, S Maitra, S Roy… - … Symposium on Cyber …, 2022 - Springer
Abstract Mutually Unbiased Bases (MUBs) have varied applications in quantum information.
However, obtaining the optimal number of MUBs is a challenging problem for different …

On Combinatorial Constructions of Mutually Unbiased Bases (MUBs) with Approximations

A Kumar - 2024 - dspace.isical.ac.in
Construction of Mutually Unbiased Bases (MUBs) is a very challenging combinatorial
problem in the domain of quantum information theory with several long-standing open …

Constructions on Real Approximate Mutually Unbiased Bases

M Yang, A Zhang, J Wen, K Feng - arXiv preprint arXiv:2110.06665, 2021 - arxiv.org
Mutually unbiased bases (MUB) have many applications in quantum information processing
and quantum cryptography. Several complex MUB's in $\mathbb {C}^ d $ for some …

[PDF][PDF] Complementarity in quantum walks

SN Filippov, VI Man'ko, S Designolle, M Farkas… - researchportal.amu.edu.pl
Complementarity in quantum walks Page 1 Uniwersytet im. Adama Mickiewicza w Poznaniu
Adam Mickiewicz University https://researchportal.amu.edu.pl Publikacja / Publication …