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arXiv:1801.05704

Number state filtered coherent state

Nilakantha Meher, Sivakumar, S.

Published Jan 16, 2018• 0 citations
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Abstract

Number state filtering in coherent states leads to sub-Poissonian photon statistics. These states are more suitable for phase estimation when compared with the coherent states. Nonclassicality of these states is quantified in terms of the negativity of the Wigner function and the entanglement potential. Filtering of the vacuum from a coherent state is almost like the photon-addition. However, filtering makes the state more resilient against dissipation than photon-addition. Vacuum state filtered coherent states perform better than the photon-added coherent states for a two-way quantum key distribution protocol. A scheme to generate these states in multi-photon atom-field interaction is presented.

DOI
10.48550/arxiv.1801.05704

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Number state filtering in coherent states leads to sub-Poissonian photon statistics. These states are more suitable for phase estimation when compared with the coherent states. Nonclassicality of these states is quantified in terms of the negativity of the Wigner function and the entanglement potential. Filtering of the vacuum from a coherent state is almost like the photon-addition. However, filtering makes the state more resilient against dissipation than photon-addition. Vacuum state filtered coherent states perform better than the photon-added coherent states for a two-way quantum key distribution protocol. A scheme to generate these states in multi-photon atom-field interaction is presented.
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The ability to tailor photon-number statistics is central to the generation and control of nonclassical states of light. Here, we investigate how Fock-state filtering of squeezed coherent states can be used to engineer their photon statistics. We consider the selective removal of the m=0m=0m=0 and m=1m=1m=1 Fock components and show that this process can enhance the sub-Poissonian character of the field, depending on the coherent amplitude. We then analyze the evolution of these engineered states in a thermal environment. Although all states eventually relax toward thermal statistics, the signatures of the filtering process may persist over a significant part of the evolution, while the purity of the filtered states is rapidly degraded by incoherent population redistribution. Our results illustrate both the potential and the limitations of photon-number engineering in realistic, dissipative settings.
Multi-photon-added cat states are constructed by repeatedly applying the creation operator to a cat state. We study in detail their photon-number distribution, QQQ parameter, squeezing properties, and Wigner function. We show that photon addition induces a πππ phase shift in the original parity configuration whenever an odd number of photons is added, reflected as swapped vanishing probabilities and phase space displacements at the origin. Remarkably, the same process drives these states into a sub-Poissonian regime regardless of the relative phase between their coherent state components, making them valuable resources for quantum imaging, at the cost of losing quadrature squeezing, but gaining amplitude-squared one. We also discuss how these states can be generated using existing hardware.
In quantum optics, nonclassical properties of various quantum states of radiation field are frequently studied. Some of those states are finite dimensional and referred to as qudits. These states are important because of their potential applications in quantum information processing. Further, nonclassical states are those which do not have any classical counterpart. Consequently, to establish quantum supremacy, we always require nonclassical state. Recently, Sivakumar and Meher have studied the nonclassical properties of the number state filtered coherent state, and shown that the number state filtering introduces nonclassical features into coherent state which is otherwise classical. This observation motivated us to investigate the role of hole burning (state filtering) on a state which is already nonclassical. Specifically, we have selected a Binomial state which is known to be nonclassical as our test bed and burnt a hole at vacuum (equivalently filtered the vacuum state). To check the nonclassical properties of vacuum filtered binomial state, we have used Vogel’s criterion, criterion of higher- and lower-order antibunching, criterion of higher-order sub-Poissonian photon statistics, Linear entropy etc. The investigation results show that vacuum filtered binomial state studied here is highly nonclassical, and the hole burning process enhances the nonclassical depth.
In quantum optics, nonclassical properties of various quantum states of radiation field are frequently studied. Some of those states are finite dimensional and referred to as qudits. These states are important because of their potential applications in quantum information processing. Further, nonclassical states are those which do not have any classical counterpart. Consequently, to establish quantum supremacy, we always require nonclassical state. Recently, Sivakumar and Meher have studied the nonclassical properties of the number state filtered coherent state, and shown that the number state filtering introduces nonclassical features into coherent state which is otherwise classical. This observation motivated us to investigate the role of hole burning (state filtering) on a state which is already nonclassical. Specifically, we have selected a Binomial state which is known to be nonclassical as our test bed and burnt a hole at vacuum (equivalently filtered the vacuum state). To check the nonclassical properties of vacuum filtered binomial state, we have used Vogel's criterion, criterion of higher- and lower-order antibunching, criterion of higher-order sub-Poissonian photon statistics, Linear entropy etc. The investigation results show that vacuum filtered binomial state studied here is highly nonclassical, and the hole burning process enhances the nonclassical depth.