This book gives a unified introduction to the rapidly developing area of finite tight frames.
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …

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 …

In quantum mechanics performing a measurement is an invasive process which generally
disturbs the system. Due to this phenomenon, there exist incompatible quantum …

Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …

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 …

Mutually unbiased bases (MUBs) constitute the canonical example of incompatible quantum
measurements. One standard application of MUBs is the task known as quantum random …

One of the essential features of quantum mechanics is that most pairs of observables cannot
be measured simultaneously. This phenomenon manifests itself most strongly when …

Quantum measurements based on mutually unbiased bases (MUBs) play crucial roles in
foundational studies and quantum information processing. It is known that there exist …

Quantum measurements based on mutually unbiased bases are commonly used in
quantum information processing, as they are generally viewed as being maximally …

The resource theoretic measure of quantum coherence is basis dependent, and the amount
of coherence contained in a state is different in different bases. We obtained analytical …