Generalized quantum measurements on a higher-dimensional system via quantum walks
Quantum measurements play a fundamental role in quantum mechanics. Especially,
generalized quantum measurements provide a powerful and versatile tool to extract …
generalized quantum measurements provide a powerful and versatile tool to extract …
Generation and confirmation of a (100× 100)-dimensional entangled quantum system
Entangled quantum systems have properties that have fundamentally overthrown the
classical worldview. Increasing the complexity of entangled states by expanding their …
classical worldview. Increasing the complexity of entangled states by expanding their …
Two-measurement tomography of high-dimensional orbital angular momentum entanglement
Y Li, SY Huang, M Wang, C Tu, XL Wang, Y Li… - Physical Review Letters, 2023 - APS
High-dimensional (HD) entanglement enables an encoding of more bits than in the two-
dimensional case and promises to increase communication capacity over quantum …
dimensional case and promises to increase communication capacity over quantum …
Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …
Certification of a non-projective qudit measurement using multiport beamsplitters
The most common form of measurement in quantum mechanics projects a wavefunction
onto orthogonal states that correspond to definite outcomes. However, generalized quantum …
onto orthogonal states that correspond to definite outcomes. However, generalized quantum …
Efficiency of photonic state tomography affected by fiber attenuation
A Czerwinski, J Szlachetka - Physical Review A, 2022 - APS
In this article, we investigate the efficiency of photonic state tomography in the presence of
fiber attenuation. The theoretical formalism of the photon loss is provided by implementing …
fiber attenuation. The theoretical formalism of the photon loss is provided by implementing …
SICs and algebraic number theory
We give an overview of some remarkable connections between symmetric informationally
complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a …
complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a …
Enabling computation of correlation bounds for finite-dimensional quantum systems via symmetrization
We present a technique for reducing the computational requirements by several orders of
magnitude in the evaluation of semidefinite relaxations for bounding the set of quantum …
magnitude in the evaluation of semidefinite relaxations for bounding the set of quantum …
What are the minimal conditions required to define a symmetric informationally complete generalized measurement?
IJ Geng, K Golubeva, G Gour - Physical Review Letters, 2021 - APS
Symmetric informationally complete (SIC) positive operator valued measures (POVMs) are a
class of quantum measurements which, in addition to being informationally complete, satisfy …
class of quantum measurements which, in addition to being informationally complete, satisfy …