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An inductor is ingeniously crafted to accumulate energy within its magnetic field. This field is a direct result of the current that meanders through its coiled structure. When this current maintains a steady state, there is no detectable voltage across the inductor, prompting it to mimic the behavior of a short circuit when faced with direct current.
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A parallel plate capacitor, when connected to a battery, develops a potential difference across its plates. This potential difference is key to the operation of the capacitor, as it determines how much electrical energy the capacitor can store.
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A p-n junction is formed when p-type and n-type semiconductor materials are joined together. At the interface of the p-n junction, holes from the p-side and electrons from the n-side begin to diffuse into the opposite sides due to the concentration gradient. This diffusion of carriers leads to a region around the junction where there are no free charge carriers, known as the depletion region. The charge density within the depletion region for the n-side and p-side can be described by the...
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Harnessing Nth Root Gates for Energy Storage.

Elliot John Fox1, Marcela Herrera2, Ferdinand Schmidt-Kaler3

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|November 27, 2024
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This summary is machine-generated.

Fractional controlled-NOT gates enable paced two-qubit operations for quantum batteries. Optimizing initial quantum coherence significantly enhances battery performance and protocol efficiency.

Keywords:
ergotropyquantum batteryquantum computationquantum protocolsquantum thermodynamics

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Area of Science:

  • Quantum Thermodynamics
  • Quantum Information Science
  • Quantum Computing

Background:

  • Quantum batteries offer a novel approach to energy storage using quantum mechanical principles.
  • Controlled-NOT (CNOT) gates are fundamental two-qubit operations in quantum computation and information processing.
  • Fractional quantum gates, specifically Nth-root gates, allow for finer control over quantum operations.

Purpose of the Study:

  • To investigate the application of fractional controlled-NOT gates in quantum thermodynamic protocols.
  • To analyze the performance of quantum batteries charged using these fractional gates.
  • To optimize initial system parameters for enhanced quantum battery efficiency.

Main Methods:

  • Utilized Nth-root controlled-NOT gates for paced application of two-qubit operations.
  • Designed and analyzed quantum circuits for two- and three-qubit systems.
  • Evaluated performance using measures such as ergotropy and other relevant metrics.
  • Performed optimization of initial system parameters, focusing on quantum coherence.

Main Results:

  • Demonstrated the use of fractional controlled-NOT gates in charging quantum batteries.
  • Showcased that initial quantum coherence is a critical parameter influencing protocol efficiency.
  • Identified specific circuit configurations for two- and three-qubit systems.
  • Quantified performance improvements through ergotropy and other metrics.

Conclusions:

  • Fractional controlled-NOT gates are a viable tool for advancing quantum thermodynamic protocols.
  • Initial quantum coherence significantly impacts the efficiency and performance of quantum batteries.
  • The study provides insights into the experimental feasibility of these quantum battery systems.