On Quantum Operations of Photon Subtraction and Photon Addition

@article{Filippov2019OnQO,
title={On Quantum Operations of Photon Subtraction and Photon Addition},
author={Sergey N. Filippov},
journal={Lobachevskii Journal of Mathematics},
year={2019}
}
• S. Filippov
• Published 6 August 2019
• Physics
• Lobachevskii Journal of Mathematics
The conventional photon subtraction and photon addition transformations, $\varrho \rightarrow t a \varrho a^†$ and $\varrho \rightarrow t a^† \varrho a$, are not valid quantum operations for any constant $t>0$ since these transformations are not trace nonincreasing. For a fixed density operator $\varrho$ there exist fair quantum operations, ${\cal N}_{-}$ and ${\cal N}_{+}$, whose conditional output states approximate the normalized outputs of former transformations with an arbitrary accuracy…
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References

SHOWING 1-10 OF 36 REFERENCES
On Extension of Quantum Channels and Operations to the Space of Relatively Bounded Operators
Abstract We analyse possibility to extend a quantum operation (sub-unital normal completely positive linear map on the algebra $$\mathfrak{B}(\mathcal{H})$$ of bounded operators on a separable
Quantum informational properties of the Landau–Streater channel
• Physics
Journal of Mathematical Physics
• 2019
We study the Landau--Streater quantum channel $\Phi: \mathcal{B}(\mathcal{H}_d) \mapsto \mathcal{B}(\mathcal{H}_d)$, whose Kraus operators are proportional to the irreducible unitary representation
Smooth quantum-classical transition in photon subtraction and addition processes
• Physics
• 2009
Recently Parigi et al. [Science 317, 1890 (2007)] implemented experimentally the photon subtraction and addition processes from and to a light field in a conditional way, when the required operations
Quantum evolution in the stroboscopic limit of repeated measurements
• Physics
• 2017
We consider a quantum system dynamics caused by successive selective and non-selective measurements of the probe coupled to the system. For the finite measurement rate $\tau^{-1}$ and the
Photon-number distributions of non-Gaussian states generated by photon subtraction and addition
• Physics
• 2012
We study the photon-number distributions (PND) of non-Gaussian states generated by subtracting m photons from or adding m photons to a displacement squeezed thermal state (DSTS). Compared with the
On completion of the cone of CP linear maps with respect to the energy-constrained diamond norm
For a given positive operator $G$ we consider the cones of linear maps between Banach spaces of trace class operators characterized by the Stinespring-like representation with $\sqrt{G}$-bounded and
Statistics of photon-subtracted and photon-added states
• Physics
Physical Review A
• 2018
The subtraction or addition of a prescribed number of photons to a field mode does not, in general, simply shift the probability distribution by the number of subtracted or added photons. Subtraction
Quantum-to-Classical Transition with Single-Photon-Added Coherent States of Light
• Physics
Science
• 2004
The experimental generation of single-photon–added coherent states and their complete characterization by quantum tomography are reported and allow one to witness the gradual change from the spontaneous to the stimulated regimes of light emission.
Evolution of microwave quantum states in terms of measurable ordered moments of creation and annihilation operators
• Physics
• 2012
The detection of microwave states is complicated by strong thermal noise, which is inevitably introduced by linear amplifiers. We show how to extract from measured data normally or anti-normally