Kochen-specker contextuality
A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …
short, it states that quantum mechanics is in conflict with classical models in which the result …
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 …
investigations and practical exploitations of complementary properties. Much is known about …
[图书][B] Geometry of quantum states: an introduction to quantum entanglement
I Bengtsson, K Życzkowski - 2017 - books.google.com
Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …
and information science, and offers a variety of solutions that are impossible using classical …
Non-gaussianity as a signature of a quantum theory of gravity
Tabletop tests of quantum gravity (QG) have long been thought to be practically impossible.
However, remarkably, because of rapid progress in quantum information science (QIS), such …
However, remarkably, because of rapid progress in quantum information science (QIS), such …
Quantum concepts in optical polarization
AZ Goldberg, P De La Hoz, G Björk… - Advances in Optics …, 2021 - opg.optica.org
We comprehensively review the quantum theory of the polarization properties of light. In
classical optics, these traits are characterized by the Stokes parameters, which can be …
classical optics, these traits are characterized by the Stokes parameters, which can be …
Hudson's theorem for finite-dimensional quantum systems
D Gross - Journal of mathematical physics, 2006 - pubs.aip.org
We show that, on a Hilbert space of odd dimension, the only pure states to possess a non-
negative Wigner function are stabilizer states. The Clifford group is identified as the set of …
negative Wigner function are stabilizer states. The Clifford group is identified as the set of …
Discrete phase space based on finite fields
KS Gibbons, MJ Hoffman, WK Wootters - Physical Review A—Atomic …, 2004 - APS
The original Wigner function provides a way of representing in phase space the quantum
states of systems with continuous degrees of freedom. Wigner functions have also been …
states of systems with continuous degrees of freedom. Wigner functions have also been …
Quasi-probability representations of quantum theory with applications to quantum information science
C Ferrie - Reports on Progress in Physics, 2011 - iopscience.iop.org
This paper comprises a review of both the quasi-probability representations of infinite-
dimensional quantum theory (including the Wigner function) and the more recently defined …
dimensional quantum theory (including the Wigner function) and the more recently defined …
Covariance matrices and the separability problem
We propose a unifying approach to the separability problem using covariance matrices of
locally measurable observables. From a practical point of view, our approach leads to strong …
locally measurable observables. From a practical point of view, our approach leads to strong …
Holonomic quantum control with continuous variable systems
Universal computation of a quantum system consisting of superpositions of well-separated
coherent states of multiple harmonic oscillators can be achieved by three families of …
coherent states of multiple harmonic oscillators can be achieved by three families of …