An Exact Method using Quantum Theory to Calculate the Noise Figure in a Low Noise Amplifier

• URL: http://arxiv.org/abs/2108.05037v1
• Date: Wed, 11 Aug 2021 05:21:51 GMT
• Title: An Exact Method using Quantum Theory to Calculate the Noise Figure in a Low Noise Amplifier
• Authors: Ahmad Salmanogli
• Abstract summary: A low noise amplifier is quantum mechanically analyzed to study the behavior of the noise figure. The associated Lagrangian is initially derived for the circuit and then using Legendre transformation and canonical quantization procedure the classical and quantum Hamiltonian are derived. The considered circuit is designed and classically simulated to testify the derived results using the quantum theory.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this article, a low noise amplifier is quantum mechanically analyzed to study the behavior of the noise figure. The analysis view is changed from the classic to quantum, because using quantum theory produces some degrees of freedom, which may be ignored when a circuit is analyzed using a classical theory. For this reason, the associated Lagrangian is initially derived for the circuit and then using Legendre transformation and canonical quantization procedure the classical and quantum Hamiltonian are derived, respectively. Consequently, the dynamic equation of motion of the circuit is introduced by which all of the circuit measurable observations such as voltage and current fluctuations are calculated. As an interesting point of this study, the low noise amplifier is deliberately supposed as two oscillators connecting to each other sharing the mutual specifications and accordingly the voltage and current are expressed in terms of the oscillators photon number. As a result, one can analyze the critical quantity such as the noise figure in terms of the oscillators photon number and also the photons coupling between oscillators. The latter mentioning term is considered as a factor to engineering the amplifier critical quantities. Additionally, the considered circuit is designed and classically simulated to testify the derived results using the quantum theory.

Related papers

• Hysteresis and Self-Oscillations in an Artificial Memristive Quantum Neuron [79.16635054977068]
  We study an artificial neuron circuit containing a quantum memristor in the presence of relaxation and dephasing. We demonstrate that this physical principle enables hysteretic behavior of the current-voltage characteristics of the quantum device.
  arXiv  Detail & Related papers  (2024-05-01T16:47:23Z)
• Amplification of quantum transfer and quantum ratchet [56.47577824219207]
  We study a model of amplification of quantum transfer and making it directed which we call the quantum ratchet model. The ratchet effect is achieved in the quantum control model with dissipation and sink, where the Hamiltonian depends on vibrations in the energy difference synchronized with transitions between energy levels. Amplitude and frequency of the oscillating vibron together with the dephasing rate are the parameters of the quantum ratchet which determine its efficiency.
  arXiv  Detail & Related papers  (2023-12-31T14:04:43Z)
• Unified linear response theory of quantum electronic circuits [0.0]
  We develop a unifying theory that captures both the quantum behaviour and the non-unitary effects introduced by relaxation and dephasing. We apply our model to a double quantum-dot charge qubit and a Majorana qubit, showing the capability to continuously describe the systems from adiabatic to resonant and from coherent to incoherent. Our model will facilitate the design of hybrid quantum-classical circuits and the simulation of qubit control and quantum state readout.
  arXiv  Detail & Related papers  (2023-10-26T13:48:37Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Phase Randomness in a Semiconductor Laser: the Issue of Quantum Random Number Generation [83.48996461770017]
  This paper describes theoretical and experimental methods for estimating the degree of phase randomization in a gain-switched laser. We show that the interference signal remains quantum in nature even in the presence of classical phase drift in the interferometer.
  arXiv  Detail & Related papers  (2022-09-20T14:07:39Z)
• Consistent Quantization of Nearly Singular Superconducting Circuits [0.0]
  We demonstrate the failure of the Dirac-Bergmann theory for the quantization of realistic, nearly singular superconducting circuits. The correct treatment of nearly singular systems involves a perturbative Born-Oppenheimer analysis. We find that the singular limit of this regularized analysis is, in many cases, completely unlike the singular theory.
  arXiv  Detail & Related papers  (2022-08-24T20:40:46Z)
• A Potential Based Quantization Procedure of the Damped Oscillator [0.0]
  We formulate the quantization of the dissipative oscillator, which aids understanding of the above mentioned. We arrive at such an irreversible quantum theory by which the quantum losses can be described.
  arXiv  Detail & Related papers  (2022-04-06T15:17:03Z)
• Noisy induced entanglement transition in one-dimensional random quantum circuits [8.424620634789127]
  We consider a one-dimensional quantum circuit with noisy Haar-random unitary gates. It is shown that the entanglement evolution of the random quantum circuits is properly characterized by the logarithmic entanglement negativity.
  arXiv  Detail & Related papers  (2022-03-15T11:15:11Z)
• Numerical Simulations of Noisy Quantum Circuits for Computational Chemistry [51.827942608832025]
  Near-term quantum computers can calculate the ground-state properties of small molecules. We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
  arXiv  Detail & Related papers  (2021-12-31T16:33:10Z)
• Quantum sensitivity limits of nuclear magnetic resonance experiments searching for new fundamental physics [91.6474995587871]
  Nuclear magnetic resonance is a promising experimental approach to search for ultra-light axion-like dark matter. We consider a circuit model of a magnetic resonance experiment and quantify three noise sources: spin-projection noise, thermal noise, and amplifier noise.
  arXiv  Detail & Related papers  (2021-03-10T19:00:02Z)
• From adiabatic to dispersive readout of quantum circuits [0.0]
  Spectral properties of a quantum circuit are efficiently read out by monitoring the resonance frequency shift it induces in a microwave resonator coupled to it. At small detuning, the shift arises from the exchange of virtual photons, as described by the Jaynes-Cummings model. Here we present a theory bridging these two limits and illustrate, with several examples, its necessity for a general description of quantum circuits readout.
  arXiv  Detail & Related papers  (2020-07-09T19:04:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.