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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
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First-order electrical circuits, which comprise resistors and a single energy storage element - either a capacitor or an inductor, are fundamental to many electronic systems. These circuits are governed by a first-order differential equation that describes the relationship between input and output signals.
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In a balanced four-wire wye-to-wye system, the arrangement involves wye-connected sinusoidal voltage sources and loads, connected through a neutral wire that links the neutral nodes of the source and load. The load impedance is connected across each phase of the load. The wye-connected source can be connected to the wye-connected load in four-wire and three-wire arrangements. A three-phase system is considered balanced when the load on each phase is equal, leading to uniform current flow and...
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An LC circuit consists of an inductor and a capacitor, either in series or parallel. Consider a charged capacitor connected with an inductor in series. Before the switch is closed, all the energy of the circuit is stored in the electric field of the capacitor. When the switch is closed, the capacitor begins to discharge, producing a current in the circuit. The current, in turn, creates a magnetic field in the inductor. Because of the induced emf in the inductor, the current cannot change...
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Ventaja cuántica con circuitos poco profundos

Sergey Bravyi1, David Gosset1, Robert König2

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Resumen
Este resumen es generado por máquina.

Demostramos que los algoritmos cuánticos paralelos ofrecen una ventaja cuántica computacional, superando a los algoritmos clásicos para problemas específicos de álgebra lineal. Esta ventaja se deriva de la no localidad cuántica y es alcanzable con dispositivos cuánticos a corto plazo.

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Área de la Ciencia:

  • La computación cuántica
  • Teoría de la complejidad computacional
  • El álgebra lineal

Sus antecedentes:

  • La mecánica cuántica ofrece el potencial para mejorar el procesamiento de la información y la computación más rápida.
  • Demostrar una ventaja cuántica definitiva o demostrarla con los dispositivos cuánticos actuales sigue siendo un área de investigación activa.

Objetivo del estudio:

  • Para proporcionar una prueba incondicional de la ventaja cuántica computacional.
  • Para identificar la no localidad cuántica como la fuente de esta ventaja.
  • Proponer un algoritmo cuántico adecuado para la implementación experimental a corto plazo.

Principales métodos:

  • Desarrollo de algoritmos cuánticos paralelos diseñados para funcionar en tiempo constante.
  • Centrarse en la resolución de problemas de álgebra lineal relacionados con las formas cuadráticas binarias.
  • Utilizando circuitos cuánticos de profundidad constante con puertas de vecindario más cercano en una red de qubits 2D.

Principales resultados:

  • Demostró que los algoritmos cuánticos paralelos son estrictamente más potentes que los algoritmos clásicos.
  • Proporcionó una ventaja cuántica demostrable en la resolución de problemas específicos de álgebra lineal.
  • Estableció la no localidad cuántica como la razón fundamental de la ventaja computacional observada.

Conclusiones:

  • Se ha establecido una prueba incondicional de la ventaja cuántica computacional.
  • La no localidad cuántica se identifica como el recurso clave que permite esta ventaja.
  • El algoritmo propuesto es práctico para experimentos de computación cuántica en el futuro cercano.