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Binary Communication with Gazeau–Klauder Coherent States [PDF]
Entropy, 2020 We investigate advantages and disadvantages of using Gazeau−Klauder coherent states for optical communication. In this short paper we show that using an alphabet consisting of coherent Gazeau−Klauder states related to a Kerr-type nonlinear ...
Jerzy Dajka, Jerzy Łuczka
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Helstrom Bound for Squeezed Coherent States in Binary Communication [PDF]
Entropy, 2022 In quantum information processing, using a receiver device to differentiate between two non-orthogonal states leads to a quantum error probability. The minimum possible error is known as the Helstrom bound. In this work, we study the conditions for state
Evaldo M. F. Curado +3 more
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Quantifying the Coherence between Coherent States. [PDF]
Physical Review Letters, 2017 In this Letter, we detail an orthogonalization procedure that allows for the quantification of the amount of coherence present in an arbitrary superposition of coherent states.
K. C. Tan +3 more
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Circuit complexity for coherent states [PDF]
Journal of High Energy Physics, 2018 We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen’s geometric approach as in [1]. The complexity of the coherent states have the same UV divergences as the vacuum state complexity and so we consider the ...
Minyong Guo +3 more
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Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States [PDF]
Entropy, 2022 Coherent states, known as displaced vacuum states, play an important role in quantum information processing, quantum machine learning, and quantum optics.
Ruilin Liu +5 more
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Common Coherence Witnesses and Common Coherent States. [PDF]
Entropy (Basel), 2021 We show the properties and characterization of coherence witnesses. We show methods for constructing coherence witnesses for an arbitrary coherent state. We investigate the problem of finding common coherence witnesses for certain class of states. We show that finitely many different witnesses W1,W2,⋯,Wn can detect some common coherent states if and ...
Wang BH, Ding ZH, Ma Z, Fei SM.
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Sharp inequalities for coherent states and their optimizers [PDF]
Advanced Nonlinear Studies, 2023 We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
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Wigner Functions of Time-Dependent Cat-like Even/Odd Superpositions of Nonlinear Coherent States [PDF]
EntropyWe calculate and plot 2D slices of the Wigner functions of several families of highly excited even and odd superpositions of nonlinear coherent states, looking for conditions under which such superpositions can be interpreted as models of the ...
Miguel Citeli de Freitas +1 more
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On Geometry of p-Adic Coherent States and Mutually Unbiased Bases [PDF]
Entropy, 2023 This paper considers coherent states for the representation of Weyl commutation relations over a field of p-adic numbers. A geometric object, a lattice in vector space over a field of p-adic numbers, corresponds to the family of coherent states.
Evgeny Zelenov
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Coherence of assistance and assisted maximally coherent states. [PDF]
Sci Rep, 2021 AbstractCoherence and entanglement are fundamental concepts in resource theory. The coherence (entanglement) of assistance is the coherence (entanglement) that can be extracted assisted by another party with local measurement and classical communication. We introduce and study the general coherence of assistance.
Zhao MJ, Pereira R, Ma T, Fei SM.
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