Journal ArticleDOI
Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations
TLDR
In this article, an innovative technique of integration within an ordered product (IWOP) of operators was proposed, which made the integration of non-commutative operators possible and further revealed the beauty and elegance of Dirac's symbolic method and transformation theory.About:
This article is published in Annals of Physics.The article was published on 2006-02-01. It has received 317 citations till now. The article focuses on the topics: Transformation theory (quantum mechanics) & Quantum entanglement.read more
Citations
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Operator-sum representation of density operators as solutions to master equations obtained via the entangled state approach
TL;DR: In this article, the authors derived the Kraus operators from the point of view of the quantum channel and proved the normalization conditions of the corresponding Kraus operator from the perspective of the phase sensitive process.
Journal ArticleDOI
Continuous-variable quantum key distribution with non-Gaussian quantum catalysis
TL;DR: In this paper, the authors proposed a non-Gaussian continuous-variable quantum key distribution (CVQKD) by using quantum catalysis (QC), which is an intriguing nonGaussian operation in essence that can be implemented with current technologies.
Journal ArticleDOI
Newton–Leibniz integration for ket–bra operators in quantum mechanics (IV)—Integrations within Weyl ordered product of operators and their applications
Hong-Yi Fan,Hong-Yi Fan +1 more
TL;DR: Fan et al. as discussed by the authors showed that the technique of integration within normal ordering of operators, applied to tackling Newton-Leibniz integration over ket-bra projection operators, can be generalized to integration within Weyl ordered product (IWWOP).
Journal ArticleDOI
Statistical properties of photon-subtracted squeezed vacuum in thermal environment
Li-Yun Hu,Hong-Yi Fan +1 more
TL;DR: In this article, the analytical expressions of the density operator and the Wigner function were derived for photon-subtracted squeezed vacuum (PSSV) in a thermal environment with average thermal photon number n¯ and dissipative coefficient κ.
Journal ArticleDOI
New approach for analyzing time evolution of density operator in a dissipative channel by the entangled state representation
TL;DR: In this article, the authors analyzed the time evolution of mixed state ρ 0 in a dissipative channel, characteristic of a decay constant κ, by virtue of the elegant properties of entangled state representation 〈 η |.
References
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Journal ArticleDOI
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
TL;DR: Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.
Journal ArticleDOI
On the Quantum Correction For Thermodynamic Equilibrium
TL;DR: In this article, the Boltzmann formula for the probability of a configuration is given in classical theory by means of a probability function, and the result discussed is developed for the correction term.
Book ChapterDOI
On the quantum correction for thermodynamic equilibrium
TL;DR: In this article, the Boltzmann formula for lower temperatures has been developed for a correction term, which can be developed into a power series of h. The formula is developed for this correction by means of a probability function and the result discussed.
Journal ArticleDOI
Coherent and incoherent states of the radiation field
TL;DR: In this article, the photon statistics of arbitrary fields in fully quantum-mechanical terms are discussed, and a general method of representing the density operator for the field is discussed as well as a simple formulation of a superposition law for photon fields.
Journal ArticleDOI
The Quantum Theory of Optical Coherence
TL;DR: In this paper, a succession of correlation functions for the complex field strengths is defined, and a fully coherent field is defined as one whose correlation functions satisfy an infinite succession of stated conditions.