On mutually unbiased bases

T Durt, BG Englert, I Bengtsson… - International journal of …, 2010 - World Scientific
Mutually unbiased bases for quantum degrees of freedom are central to all theoretical
investigations and practical exploitations of complementary properties. Much is known about …

Quantum-bayesian coherence

CA Fuchs, R Schack - Reviews of modern physics, 2013 - APS
In the quantum-Bayesian interpretation of quantum theory (or QBism), the Born rule cannot
be interpreted as a rule for setting measurement-outcome probabilities from an objective …

Experimental engineering of arbitrary qudit states with discrete-time quantum walks

T Giordani, E Polino, S Emiliani, A Suprano… - Physical review …, 2019 - APS
The capability to generate and manipulate quantum states in high-dimensional Hilbert
spaces is a crucial step for the development of quantum technologies, from quantum …

Entanglement detection via mutually unbiased bases

C Spengler, M Huber, S Brierley, T Adaktylos… - Physical Review A …, 2012 - APS
We investigate correlations among complementary observables. In particular, we show how
to take advantage of mutually unbiased bases for the efficient detection of entanglement in …

Five open problems in quantum information theory

P Horodecki, Ł Rudnicki, K Życzkowski - PRX Quantum, 2022 - APS
We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, are well studied in the literature, but are technically not easy. As …

Characterization of high-dimensional entangled systems via mutually unbiased measurements

D Giovannini, J Romero, J Leach, A Dudley, A Forbes… - Physical review …, 2013 - APS
Mutually unbiased bases (MUBs) play a key role in many protocols in quantum science,
such as quantum key distribution. However, defining MUBs for arbitrary high-dimensional …

All mutually unbiased bases in dimensions two to five

S Brierley, S Weigert, I Bengtsson - arXiv preprint arXiv:0907.4097, 2009 - arxiv.org
All complex Hadamard matrices in dimensions two to five are known. We use this fact to
derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a …

Five open problems in quantum information

P Horodecki, Ł Rudnicki, K Życzkowski - arXiv preprint arXiv:2002.03233, 2020 - arxiv.org
We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, were well-studied in the literature, but are technically not easy. As …

Detecting entanglement can be more effective with inequivalent mutually unbiased bases

BC Hiesmayr, D McNulty, S Baek, SS Roy… - New Journal of …, 2021 - iopscience.iop.org
Mutually unbiased bases (MUBs) provide a standard tool in the verification of quantum
states, especially when harnessing a complete set for optimal quantum state tomography. In …

Unextendible maximally entangled bases and mutually unbiased bases

B Chen, SM Fei - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
We study an unextendible maximally entangled basis in arbitrary bipartite spaces. A
systematic way of constructing a set of d 2 orthonormal maximally entangled states in C d⨂ …