Resource-efficient high-dimensional entanglement detection via symmetric projections
We introduce two families of criteria for detecting and quantifying the entanglement of a
bipartite quantum state of arbitrary local dimension. The first is based on measurements in …
bipartite quantum state of arbitrary local dimension. The first is based on measurements in …
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 …
Enhanced Schmidt-number criteria based on correlation trace norms
The Schmidt number represents the genuine entanglement dimension of a bipartite
quantum state. We derive simple criteria for the Schmidt number of a density matrix in …
quantum state. We derive simple criteria for the Schmidt number of a density matrix in …
Characterizing multipartite entanglement with moments of random correlations
The experimental detection of multipartite entanglement usually requires a number of
appropriately chosen local quantum measurements that are aligned with respect to a …
appropriately chosen local quantum measurements that are aligned with respect to a …
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 …
Free versus bound entanglement, a NP-hard problem tackled by machine learning
BC Hiesmayr - Scientific Reports, 2021 - nature.com
Entanglement detection in high dimensional systems is a NP-hard problem since it is lacking
an efficient way. Given a bipartite quantum state of interest free entanglement can be …
an efficient way. Given a bipartite quantum state of interest free entanglement can be …
Witnessing entanglement in compton scattering processes via mutually unbiased bases
We present a quantum information theoretic version of the Klein-Nishina formula. This
formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce …
formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce …
Classical cost of transmitting a qubit
We consider general prepare-and-measure scenarios in which Alice can transmit qubit
states to Bob, who can perform general measurements in the form of positive operator …
states to Bob, who can perform general measurements in the form of positive operator …
Introduction to quantum entanglement in many-body systems
The quantum mechanics formalism introduced new revolutionary concepts challenging our
everyday perceptions. Arguably, quantum entanglement, which explains correlations that …
everyday perceptions. Arguably, quantum entanglement, which explains correlations that …
Detecting entanglement can be more effective with inequivalent mutually unbiased bases
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 …
states, especially when harnessing a complete set for optimal quantum state tomography. In …