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[HTML][HTML] Linear quantum systems: a tutorial
The purpose of this tutorial is to give a brief introduction to linear quantum control systems.
The mathematical model of linear quantum control systems is presented first, then some …
The mathematical model of linear quantum control systems is presented first, then some …
Characterizing stabilizer states and H-type magic states via uncertainty relations
Although the conventional Heisenberg uncertainty relations have been extensively studied,
there are still many interesting features related to uncertainty awaiting for exploring. In this …
there are still many interesting features related to uncertainty awaiting for exploring. In this …
Minimum and maximum quantum uncertainty states for qubit systems
We introduce the notion of (renormalized) quantum uncertainty and reveal its basic features.
In terms of this quantity, we completely characterize the minimum and maximum quantum …
In terms of this quantity, we completely characterize the minimum and maximum quantum …
Entropic characterization of stabilizer states and magic states
Quantum states with minimum or maximum uncertainty are of special significance due to
their extreme properties. Celebrated examples are coherent states induced from certain Lie …
their extreme properties. Celebrated examples are coherent states induced from certain Lie …
Quantum polar duality and the symplectic camel: a new geometric approach to quantization
We define and study the notion of quantum polarity, which is a kind of geometric Fourier
transform between sets of positions and sets of momenta. Extending previous work of ours …
transform between sets of positions and sets of momenta. Extending previous work of ours …
Quantifying non-Gaussianity of bosonic fields via an uncertainty relation
While Gaussian states and associated Gaussian operations are basic ingredients and
convenient objects for continuous-variable quantum information, it is also realized that non …
convenient objects for continuous-variable quantum information, it is also realized that non …
Characterization of stabilizier states and magic states in terms of Tsallis and Rényi entropies for qubit systems
Uncertainty relations are fundamental in quantum mechanics, distinguishing it from classical
physics by setting limits on the precision of incompatible measurements. For qubit systems …
physics by setting limits on the precision of incompatible measurements. For qubit systems …
Develo** improved measures of non-Gaussianity and Gaussianity for quantum states based on normalized Hilbert–Schmidt distance
S **ang, S Li, X Mi - Chinese Physics B, 2023 - iopscience.iop.org
Non-Gaussianity of quantum states is a very important source for quantum information
technology and can be quantified by using the known squared Hilbert–Schmidt distance …
technology and can be quantified by using the known squared Hilbert–Schmidt distance …
Quantifying non-Gaussianity via the Hellinger distance
Non-Gaussianity is an important resource for quantum information processing with
continuous variables. We introduce a measure of the non-Gaussianity of bosonic field states …
continuous variables. We introduce a measure of the non-Gaussianity of bosonic field states …
The Persico equation for minimum uncertainty states
The purpose of this work is to shed light on an important and forgotten result on the
Heisenberg principle obtained in the early years of quantum mechanics by the Italian …
Heisenberg principle obtained in the early years of quantum mechanics by the Italian …